#help-13 | Mathematics | Page 486

cedar kilnBOT Mar 16, 2022, 10:55 PM

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warm vector Mar 16, 2022, 11:10 PM

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How do I attempt this question

cedar kilnBOT Mar 16, 2022, 11:10 PM

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warm vector How do I attempt this question

versed sand Mar 16, 2022, 11:13 PM

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pi * r^2 * h/3 is the cone volume formula, correct?

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@warm vector you have both formulas for volume

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equate both volume formulas and simplify until it reads 4r = h

cedar kilnBOT Mar 16, 2022, 11:25 PM

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@warm vector Has your question been resolved?

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cedar kilnBOT Mar 17, 2022, 12:11 AM

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crimson sedge Mar 17, 2022, 12:13 AM

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You will choose groups of 4 people out of 16 people. No group will have a couple who have been together in another group before. Max how many groups can you choose?

cedar kilnBOT Mar 17, 2022, 12:13 AM

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crimson sedge You will choose groups of 4 people out of 16 people. No group will have a couple...

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@crimson sedge Has your question been resolved?

nocturne summit Mar 17, 2022, 12:31 AM

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I thinm u should use ncr

crimson sedge Mar 17, 2022, 12:34 AM

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ncr ?

cedar kilnBOT Mar 17, 2022, 1:04 AM

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@crimson sedge Has your question been resolved?

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@crimson sedge Has your question been resolved?

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frail bough Mar 17, 2022, 3:19 AM

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by decompose a positive definite Hermitian form into real and imaginary parts. How to show any two forms are equal if they have same imaginary part?

cedar kilnBOT Mar 17, 2022, 3:19 AM

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frail bough by decompose a positive definite Hermitian form into real and imaginary parts. H...

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frail bough Mar 17, 2022, 3:39 AM

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<@&286206848099549185>

cedar kilnBOT Mar 17, 2022, 4:09 AM

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@frail bough Has your question been resolved?

cedar kilnBOT Mar 17, 2022, 5:10 AM

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@frail bough Has your question been resolved?

cedar kilnBOT Mar 17, 2022, 7:11 AM

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@frail bough Has your question been resolved?

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swift pollen Mar 17, 2022, 9:14 AM

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$integration (3x-1)/(x-2) dx$

cedar kilnBOT Mar 17, 2022, 9:14 AM

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swift pollen $integration (3x-1)/(x-2) dx$

wraith daggerBOT Mar 17, 2022, 9:14 AM

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Saurav

cedar kilnBOT Mar 17, 2022, 9:29 AM

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@swift pollen Has your question been resolved?

bold hinge Mar 17, 2022, 9:47 AM

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Lol

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$\int \frac{3x-1}{x-2} dx$

wraith daggerBOT Mar 17, 2022, 9:48 AM

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EndTimes

bold hinge Mar 17, 2022, 9:48 AM

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There we go.

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Ok

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3(x-2) = 3x-6

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3x-6+5 = 3x-1

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(3(x-2) + 5)/(x-2) = 3 + 5/(x-2)

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@swift pollen

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Do you understand what I did here?

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This is easily integrated now

swift pollen Mar 17, 2022, 9:59 AM

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no

swift pollen Mar 17, 2022, 10:00 AM

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bold hinge 3(x-2) = 3x-6

did u multiply the deno with 3?

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or what

bold hinge Mar 17, 2022, 10:00 AM

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Yeah

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Thats how you divide

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Finding the greatest multiple of the denominator that goes into the numerator

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Let me ask you an example with actual numbers. What is 30/7?

swift pollen Mar 17, 2022, 10:01 AM

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wait

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its

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something

bold hinge Mar 17, 2022, 10:01 AM

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As a mixed number

swift pollen Mar 17, 2022, 10:01 AM

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mixed?

bold hinge Mar 17, 2022, 10:02 AM

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Yeah

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30/7 = 4 + 2/7

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Would you agree?

swift pollen Mar 17, 2022, 10:02 AM

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maybe

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iddk

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yes

bold hinge Mar 17, 2022, 10:03 AM

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And that is because of this:
30/7 = (7×4 + 2)/7 = (7×4)/7 + 2/7

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= 4 + 2/7

swift pollen Mar 17, 2022, 10:05 AM

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yes

bold hinge Mar 17, 2022, 10:05 AM

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So then to divide the fraction in the integrand, we find the largest multiple of (x-2) that goes into 3x-1

swift pollen Mar 17, 2022, 10:08 AM

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ohhh

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i see

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thanks

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nice

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.close

cedar kilnBOT Mar 17, 2022, 10:09 AM

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crimson sedge Mar 17, 2022, 11:04 AM

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My teacher gave me this for math homework. Please help me solve this! oh no. I ACCIDENTIALLY OCCUPIED ANOTHER CHANNEL

cedar kilnBOT Mar 17, 2022, 11:04 AM

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crimson sedge My teacher gave me this for math homework. Please help me solve this! oh no. I A...

trail jackal Mar 17, 2022, 11:12 AM

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and what exactly are you supposed to do?

crimson sedge Mar 17, 2022, 11:13 AM

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trail jackal and what exactly are you supposed to do?

Tell me some steps to solve it so I can get some help. Its a little hard and it makes no sense

trail jackal Mar 17, 2022, 11:13 AM

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are supposed to compute $\gamma$ or what is the task?

wraith daggerBOT Mar 17, 2022, 11:13 AM

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Alexander42

trail jackal Mar 17, 2022, 11:15 AM

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@crimson sedge

crimson sedge Mar 17, 2022, 11:16 AM

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trail jackal <@456226577798135808>

yes? i am supposed to compute that but idk how to

trail jackal Mar 17, 2022, 11:18 AM

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there is no easy way to do that, you can only approximate it. If you are sure that this is the task, i suggest you can look up the euler-mascheroni constant. This is exactly what you are supposed to compute.

cedar kilnBOT Mar 17, 2022, 11:31 AM

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@crimson sedge Has your question been resolved?

cedar kilnBOT Mar 17, 2022, 11:46 AM

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oblique turret Mar 17, 2022, 11:56 AM

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$$-70e^{7x+8}+7xe^{7x+8}=0$$

cedar kilnBOT Mar 17, 2022, 11:56 AM

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oblique turret $$-70e^{7x+8}+7xe^{7x+8}=0$$

wraith daggerBOT Mar 17, 2022, 11:56 AM

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DCC

oblique turret Mar 17, 2022, 12:00 PM

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How do I solve this?

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nvm I got it

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.close

cedar kilnBOT Mar 17, 2022, 12:03 PM

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autumn robin Mar 17, 2022, 12:15 PM

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cedar kilnBOT Mar 17, 2022, 12:15 PM

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autumn robin

autumn robin Mar 17, 2022, 12:15 PM

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Ok originally I was putting the x values but im not sure what I’m really supposed to do

gleaming galleon Mar 17, 2022, 12:17 PM

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f(x)= x

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so f(2)=2

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;-;

deep heath Mar 17, 2022, 12:18 PM

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autumn robin Ok originally I was putting the x values but im not sure what I’m really suppose...

[x] denotes greatest integer less than or equal to 3.

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That should help.

autumn robin Mar 17, 2022, 12:19 PM

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Ok so could you use f(3.21) as an example

deep heath Mar 17, 2022, 12:23 PM

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autumn robin Ok so could you use f(3.21) as an example

3.21 is not an integer, so it would make sense the greatest integer that is less than or equal to 3.21 is 3.

autumn robin Mar 17, 2022, 12:24 PM

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Oh that makes sense

autumn robin Mar 17, 2022, 12:25 PM

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deep heath 3.21 is not an integer, so it would make sense the greatest integer that is less...

So f(5.99) would be 6

leaden snow Mar 17, 2022, 12:25 PM

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no 5

deep heath Mar 17, 2022, 12:25 PM

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Less than or equal.

leaden snow Mar 17, 2022, 12:25 PM

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you drop the fractional part for positive numbers

deep heath Mar 17, 2022, 12:25 PM

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Less than is the key word here.

astral bay Mar 17, 2022, 12:25 PM

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6 is not less than or equal to 5.99

leaden snow Mar 17, 2022, 12:25 PM

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for negative numbers you need to be careful with the definition

autumn robin Mar 17, 2022, 12:27 PM

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How so

deep heath Mar 17, 2022, 12:27 PM

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Since [-3.22] = -4.

autumn robin Mar 17, 2022, 12:28 PM

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Oh

deep heath Mar 17, 2022, 12:28 PM

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[3.22] = 3.

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So people might mess it up.

autumn robin Mar 17, 2022, 12:28 PM

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So (-.005) would be 1

deep heath Mar 17, 2022, 12:28 PM

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Nope.

autumn robin Mar 17, 2022, 12:29 PM

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-1

deep heath Mar 17, 2022, 12:29 PM

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Stop giving answers, let them think through it.

leaden snow Mar 17, 2022, 12:32 PM

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in general, if $x = a.b$, where $a$ is the integer part (before the decimal dot) and $b$ is the fractional part, you have
$$[x] = \begin{cases} a & a \geq 0 \ -(a+1) & a < 0 \end{cases}$$

wraith daggerBOT Mar 17, 2022, 12:32 PM

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Navix

autumn robin Mar 17, 2022, 12:34 PM

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Is this correct

autumn robin Mar 17, 2022, 12:37 PM

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leaden snow in general, if $x = a.b$, where $a$ is the integer part (before the decimal dot)...

^

leaden snow Mar 17, 2022, 12:37 PM

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correct

cedar kilnBOT Mar 17, 2022, 12:52 PM

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wanton glacier Mar 17, 2022, 1:17 PM

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A and B have money in the ratio of 2:1, and the ratio of money between B and C is 3:4. If the difference of money between A and C is $36, what's the amount of money C and B have?

cedar kilnBOT Mar 17, 2022, 1:17 PM

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wanton glacier A and B have money in the ratio of 2:1, and the ratio of money between B and C i...

wraith daggerBOT Mar 17, 2022, 1:17 PM

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hyperlix26

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hyperlix26

wanton glacier Mar 17, 2022, 1:18 PM

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A-C=36

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what's C+B?

harsh relic Mar 17, 2022, 1:19 PM

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A = 2B
4B = 3C
A = 36 + C
So you can solve for B and C

tropic oxide Mar 17, 2022, 1:20 PM

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alternatively, if you don't want to bash the linear system, ||A:B:C:(A-C) = 6:3:4:(6-4) hence A:B:C:36 = 6:3:4:2||

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||A:B = 2:1 = 6:3||

wanton glacier Mar 17, 2022, 1:23 PM

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what's the logic behind A:B:C:(A-C)?

tropic oxide Mar 17, 2022, 1:24 PM

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A-C is the quantity you know

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A, B and C are the quantities that are relevant to the problem

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i am putting all of them into one 4-way ratio

wanton glacier Mar 17, 2022, 1:35 PM

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ok let me understand the linear system first

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A = 2B
4B = 3C
A = 36 + C

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these make sense

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A = 2B => 2A = 4B

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2A = 3C

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C = 2A/3

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A = 36 + 2A/3

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3A = 108 + 2A

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A = 108

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108 = 2B

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B = 54

dense wing Mar 17, 2022, 1:41 PM

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You don't need to spam every line of working btw

wanton glacier Mar 17, 2022, 1:41 PM

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A + B = 162

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alright I still don't get this A:B:C:(A-C)

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$\frac{A:B:C}{A-C}=\frac{6:3:4}{6-4}\implies\frac{A:B:C}{36}=\frac{6:3:4}{2}$

wraith daggerBOT Mar 17, 2022, 1:43 PM

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hyperlix26

wanton glacier Mar 17, 2022, 1:43 PM

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now what?

tropic oxide Mar 17, 2022, 1:54 PM

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why do you put one of the members of the ratio as the denominator in a fraction sully

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okay fine like

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let D = A-C

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A:B:C = 6:3:4

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do you understand why A:B:C=6:3:4

wanton glacier Mar 17, 2022, 1:55 PM

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yeah

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2:1 is the same as 6:3

tropic oxide Mar 17, 2022, 1:55 PM

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D = A-C so A:C:D = 6:4:2

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6-4=2 and all

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so A:B:C:D = 6:3:4:2

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but we also know D = 36

wanton glacier Mar 17, 2022, 1:56 PM

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yeah

tropic oxide Mar 17, 2022, 1:56 PM

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so A : B : C : 36 = 6 : 4 : 3 : 2

wanton glacier Mar 17, 2022, 1:57 PM

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okay

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now what can you do with that information?

tropic oxide Mar 17, 2022, 1:58 PM

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6 : 4 : 3 : 2 = 6*18 : 4*18 : 3*18 : 2*18

wanton glacier Mar 17, 2022, 1:59 PM

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where'd you get 18?

tropic oxide Mar 17, 2022, 1:59 PM

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2*18 = 36

wanton glacier Mar 17, 2022, 1:59 PM

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okay

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ohhh

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now you simply add 3(18) with 4(18) and you'll get the answer

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alright

wanton glacier Mar 17, 2022, 2:01 PM

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tropic oxide why do you put one of the members of the ratio as the denominator in a fraction ...

I thought that was what this implied

wanton glacier Mar 17, 2022, 2:01 PM

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tropic oxide alternatively, if you don't want to bash the linear system, ||A:B:C:(A-C) = 6:3:...

.

cedar kilnBOT Mar 17, 2022, 2:16 PM

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@wanton glacier Has your question been resolved?

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tropic oxide Mar 17, 2022, 2:22 PM

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i did not put any slashes anywhere...

cedar kilnBOT Mar 17, 2022, 2:22 PM

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tropic oxide i did not put any slashes anywhere...

tropic oxide Mar 17, 2022, 2:22 PM

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wtf

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.close ???

cedar kilnBOT Mar 17, 2022, 2:22 PM

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worthy monolith Mar 17, 2022, 2:35 PM

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How do I find the answer to #1? I got -1/2 but idk if that’s right

cedar kilnBOT Mar 17, 2022, 2:35 PM

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worthy monolith How do I find the answer to #1? I got -1/2 but idk if that’s right

worthy monolith Mar 17, 2022, 2:36 PM

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Wait uploading now

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harsh relic Mar 17, 2022, 2:36 PM

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worthy monolith

can you just take the picture of question 1 only?

worthy monolith Mar 17, 2022, 2:36 PM

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Sure one second

harsh relic Mar 17, 2022, 2:36 PM

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worthy monolith

the words are so small

worthy monolith Mar 17, 2022, 2:37 PM

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As big as I could fit it

cedar kilnBOT Mar 17, 2022, 2:52 PM

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@worthy monolith Has your question been resolved?

worthy monolith Mar 17, 2022, 2:55 PM

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<@&286206848099549185>

cedar kilnBOT Mar 17, 2022, 3:25 PM

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@worthy monolith Has your question been resolved?

cedar kilnBOT Mar 17, 2022, 3:55 PM

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wide light Mar 17, 2022, 4:02 PM

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cedar kilnBOT Mar 17, 2022, 4:02 PM

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wide light

wide light Mar 17, 2022, 4:02 PM

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da heq is sigma notation???

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i thought it wanted

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sum from 2 to 5 of b_r + sum from 2 to 4 of c_r

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the answer has an e in it tho?? wut

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oh wait maybe i get it

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.close

cedar kilnBOT Mar 17, 2022, 4:13 PM

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cedar kilnBOT Mar 17, 2022, 5:47 PM

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sharp hound Mar 17, 2022, 6:09 PM

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cedar kilnBOT Mar 17, 2022, 6:09 PM

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sharp hound

sharp hound Mar 17, 2022, 6:10 PM

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how is the magnitude of pq x pr the area of the parallelogram

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isn't pq x pr just a vector orthoganal to pq and pr

astral lynx Mar 17, 2022, 6:11 PM

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sharp hound isn't pq x pr just a vector orthoganal to pq and pr

The "magnitude" of the vector perpendicular to pq and qr plane would yield your area

sharp hound Mar 17, 2022, 6:13 PM

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Could I also have done the magnitude of pq multiplied by the magnitude of pr times 1/2

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@astral lynx

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i'm just using simple base times height times 1/2

astral lynx Mar 17, 2022, 6:14 PM

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sharp hound Could I also have done the magnitude of pq multiplied by the magnitude of pr tim...

If you said magnitude of pq*sin(pq^qr) I'd agree

astral lynx Mar 17, 2022, 6:15 PM

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sharp hound i'm just using simple base times height times 1/2

Height is pqsinθ where θ is the angle between pq and pr

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pq.pr.sinθ

sharp hound Mar 17, 2022, 6:16 PM

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i used the diagram to form my equation

astral lynx Mar 17, 2022, 6:16 PM

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astral lynx pq.pr.sinθ

It's not dot product just multiply

astral lynx Mar 17, 2022, 6:16 PM

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sharp hound i used the diagram to form my equation

pq × qr is the same thing

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|pq × qr| is the same as pq qr sinθ

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The moment you take mod all unit vectors and their directions dissolve

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It's just magnitude after that

sharp hound Mar 17, 2022, 6:18 PM

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ok I see it now

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thanks

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.close

cedar kilnBOT Mar 17, 2022, 6:18 PM

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astral lynx Mar 17, 2022, 6:19 PM

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sharp hound thanks

👍

cedar kilnBOT Mar 17, 2022, 6:19 PM

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astral lynx 👍

astral lynx Mar 17, 2022, 6:20 PM

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.close

cedar kilnBOT Mar 17, 2022, 6:20 PM

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cedar kilnBOT Mar 17, 2022, 7:08 PM

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red violet Mar 17, 2022, 7:50 PM

#

<@&286206848099549185>

cedar kilnBOT Mar 17, 2022, 7:50 PM

#

red violet <@&286206848099549185>

dense wing Mar 17, 2022, 7:52 PM

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red violet <@&286206848099549185>

#❓how-to-get-help don't ping right away

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But anyway... post your working

lean hazel Mar 17, 2022, 7:52 PM

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just put 7 into the formula

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@red violet put 7 in the formula

red violet Mar 17, 2022, 7:56 PM

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Ah ok

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So

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4 x pie x 7^2

lean hazel Mar 17, 2022, 7:57 PM

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yes

red violet Mar 17, 2022, 7:57 PM

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120.8

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Will it be cm ^3

lean hazel Mar 17, 2022, 7:58 PM

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how'd you get 120.8

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also no

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cm^2

red violet Mar 17, 2022, 7:58 PM

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4 x pi x 3.1 squared

lean hazel Mar 17, 2022, 7:58 PM

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3.1?

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what

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it's 7

red violet Mar 17, 2022, 7:59 PM

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Wait nvm I’m confused

lean hazel Mar 17, 2022, 7:59 PM

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so it's 4 * pi * r^2
and r is 7

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yep

red violet Mar 17, 2022, 7:59 PM

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196 pie

lean hazel Mar 17, 2022, 8:00 PM

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yep

red violet Mar 17, 2022, 8:00 PM

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So answer 196 cm^2

lean hazel Mar 17, 2022, 8:00 PM

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no

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196pi cm^2

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because you are asked to give your answer in terms of pi

red violet Mar 17, 2022, 8:01 PM

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Correct thank you very much

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Much appreciated

lean hazel Mar 17, 2022, 8:01 PM

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np

cedar kilnBOT Mar 17, 2022, 8:16 PM

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@red violet Has your question been resolved?

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tranquil axle Mar 17, 2022, 8:45 PM

#

Hello, what does the 'v' on the right side of the inequality mean in this question?

cedar kilnBOT Mar 17, 2022, 8:45 PM

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tranquil axle Hello, what does the 'v' on the right side of the inequality mean in this questi...

tranquil axle Mar 17, 2022, 8:50 PM

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is it just a variable?

celest ledge Mar 17, 2022, 8:57 PM

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Probably an error, it should be $|\sum_{k=1}^{n}a_{k}| \leq \sum_{k=1}^{n}|a_{k}|$

wraith daggerBOT Mar 17, 2022, 8:57 PM

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Cogwheels of the mind

tranquil axle Mar 17, 2022, 8:58 PM

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okay

#

thanks

#

.close

cedar kilnBOT Mar 17, 2022, 8:58 PM

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cedar kilnBOT Mar 17, 2022, 9:43 PM

#

hot osprey Mar 17, 2022, 9:45 PM

#

I know that for log of single product we can expand as such $log \prod x = \sum log(x)$

wraith daggerBOT Mar 17, 2022, 9:45 PM

#

kooryan

hot osprey Mar 17, 2022, 9:45 PM

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but unsure how we can continue for double prod

wraith daggerBOT Mar 17, 2022, 9:46 PM

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kooryan

celest ledge Mar 17, 2022, 9:49 PM

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Then ΣΣ right hand side

wraith daggerBOT Mar 17, 2022, 9:50 PM

#

kooryan

cedar kilnBOT Mar 17, 2022, 9:50 PM

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Channel closed

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hot osprey Mar 17, 2022, 9:50 PM

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celest ledge Then ΣΣ right hand side

ah simply $\sum_i \sum_j log(x_{ij})$ ?

wraith daggerBOT Mar 17, 2022, 9:51 PM

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kooryan

celest ledge Mar 17, 2022, 9:53 PM

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Yeah

hot osprey Mar 17, 2022, 9:53 PM

#

i see thank you

cedar kilnBOT Mar 17, 2022, 9:53 PM

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hot osprey Mar 17, 2022, 9:53 PM

#

.close

fleet crag Mar 17, 2022, 10:00 PM

#

What did i do wrong?

cedar kilnBOT Mar 17, 2022, 10:00 PM

#

fleet crag What did i do wrong?

fleet crag Mar 17, 2022, 10:00 PM

#

<@&286206848099549185>

#

<@&286206848099549185>

lean hazel Mar 17, 2022, 10:01 PM

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no need to ping twice

#

also read #❓how-to-get-help

midnight owl Mar 17, 2022, 10:03 PM

#

You need to wait 15 mins to ping

cedar kilnBOT Mar 17, 2022, 10:15 PM

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@fleet crag Has your question been resolved?

fleet crag Mar 17, 2022, 10:15 PM

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HELP
HELp

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HElp

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HELP

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<@&286206848099549185>

lean hazel Mar 17, 2022, 10:16 PM

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be patient

fleet crag Mar 17, 2022, 10:16 PM

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WHY IS IT TAKING SO LONG?

lean hazel Mar 17, 2022, 10:17 PM

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probably because of your attitude

dire geode Mar 17, 2022, 10:43 PM

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fleet crag WHY IS IT TAKING SO LONG?

if you want instant help, pay for a tutor

cedar kilnBOT Mar 17, 2022, 10:53 PM

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@fleet crag Has your question been resolved?

crimson sedge Mar 17, 2022, 11:01 PM

#

Bro is impatient

marsh vapor Mar 17, 2022, 11:45 PM

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fleet crag What did i do wrong?

r/cheatmathhomework

cedar kilnBOT Mar 18, 2022, 12:05 AM

#

@fleet crag Has your question been resolved?

fleet crag Mar 18, 2022, 12:12 AM

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.close

cedar kilnBOT Mar 18, 2022, 12:12 AM

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timber lantern Mar 18, 2022, 12:51 AM

#

cedar kilnBOT Mar 18, 2022, 12:51 AM

#

timber lantern

timber lantern Mar 18, 2022, 12:51 AM

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I am in need of helping to understand this

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and teh importance of A being invertible

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the*

cinder portal Mar 18, 2022, 12:52 AM

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Do you know what similar means in linear algebra?

timber lantern Mar 18, 2022, 12:54 AM

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cinder portal Do you know what similar means in linear algebra?

yes

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A~B

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whgich means a lot of things

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in this situation AB~BA

flint plinth Mar 18, 2022, 12:55 AM

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what does it mean in terms of multiplying by matrices to go from BA to AB?

timber lantern Mar 18, 2022, 12:56 AM

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flint plinth what does it mean in terms of multiplying by matrices to go from BA to AB?

what do you mean by that?

flint plinth Mar 18, 2022, 12:56 AM

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what is the definition of A~B?

timber lantern Mar 18, 2022, 12:57 AM

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B=P^1AP

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if that is what you are referring to

flint plinth Mar 18, 2022, 12:57 AM

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well that P^1 should be P^-1 but yeah

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so if AB and BA are similar that means there has to be an invertible P such that AB = P^-1 (BA) P, right?

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what P would work?

timber lantern Mar 18, 2022, 12:58 AM

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flint plinth well that P^1 should be P^-1 but yeah

yes sorry invers

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inverse

timber lantern Mar 18, 2022, 12:58 AM

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flint plinth so if AB and BA are similar that means there has to be an invertible P such that...

yes

timber lantern Mar 18, 2022, 12:59 AM

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flint plinth what P would work?

hmm

cinder portal Mar 18, 2022, 12:59 AM

#

Consider this form instead
BA = P^(-1) AB P

timber lantern Mar 18, 2022, 1:00 AM

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P would be A?

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and P^(-1)=A^(-1)?

cinder portal Mar 18, 2022, 1:00 AM

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Yes

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BA = A^(-1) AB A = BA

timber lantern Mar 18, 2022, 1:01 AM

#

Makes sense. okay, thank you

cedar kilnBOT Mar 18, 2022, 1:16 AM

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@timber lantern Has your question been resolved?

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Channel closed

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little lance Mar 18, 2022, 1:40 AM

#

hi, I have a few questions regarding parametrics, conics, and instantaneous rate of change

cedar kilnBOT Mar 18, 2022, 1:40 AM

#

little lance hi, I have a few questions regarding parametrics, conics, and instantaneous rate...

little lance Mar 18, 2022, 1:41 AM

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(1) how do I do this?

#

#

(2) how do I convert a set of parametric questions to conic form? For example, x(t)=3cos(t) y(t)=2sin(t)

#

please ping or dm if you can help, it will be very appreciated as I have a test tmrw on these topics ^

flint plinth Mar 18, 2022, 1:49 AM

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,rotate

wraith daggerBOT Mar 18, 2022, 1:49 AM

#

flint plinth Mar 18, 2022, 1:50 AM

#

what do you get if you write the difference quotient $\frac{f(x+h) - f(x)}{h}$ and simplify?

wraith daggerBOT Mar 18, 2022, 1:50 AM

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OurBelovedBungo

flint plinth Mar 18, 2022, 1:51 AM

#

@little lance

little lance Mar 18, 2022, 1:51 AM

#

after fully simplifying I got

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$\frac{-12h+36}{6h sqrt(h+3) + 6h^2 sqrt(3)}$

wraith daggerBOT Mar 18, 2022, 1:53 AM

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brxwn

little lance Mar 18, 2022, 1:53 AM

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@flint plinth idk it seems wrong

flint plinth Mar 18, 2022, 1:54 AM

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working with just $f(x+h) - f(h)$ to start with: $f(x+h) - f(h) = \frac{1}{\sqrt{x+h-5}} - \frac{1}{\sqrt{x-5}}$

wraith daggerBOT Mar 18, 2022, 1:54 AM

#

OurBelovedBungo

little lance Mar 18, 2022, 1:55 AM

#

wait isn’t it 2/sqrt(…

flint plinth Mar 18, 2022, 1:56 AM

#

oh yeah, I missed the 2

#

multiply everything above by 2

#

combining into one fraction you get $\frac{2(\sqrt{x-5} - \sqrt{x+h-5})}{\sqrt{x+h-5}\sqrt{x-5}}$

wraith daggerBOT Mar 18, 2022, 1:57 AM

#

OurBelovedBungo

flint plinth Mar 18, 2022, 1:58 AM

#

can multiply num and den by $\sqrt{x-5}+\sqrt{x+h-5}$

wraith daggerBOT Mar 18, 2022, 1:58 AM

#

OurBelovedBungo

flint plinth Mar 18, 2022, 1:59 AM

#

that leaves you just -2h in the numerator

#

the h cancels with the h in the denominator when you form the difference quotient (f(x+h) - f(x))/h

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so just -2 in the numerator

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bunch of crap with square roots in the denominator

#

you can just plug in h=0 to those without causing the denominator to be zero

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should be good to go then!

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I'll leave the rest of the details to you 😁

little lance Mar 18, 2022, 2:00 AM

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alr thanks

#

imma work it out like that

flint plinth Mar 18, 2022, 2:01 AM

#

the key is that num/den trick

little lance Mar 18, 2022, 2:01 AM

#

is it cool if I dm u later in case I have a question regarding this?

flint plinth Mar 18, 2022, 2:01 AM

#

standard when dealing with differences of square roots

little lance Mar 18, 2022, 2:01 AM

#

in case I don’t get it

flint plinth Mar 18, 2022, 2:01 AM

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sure, feel free to ping me

little lance Mar 18, 2022, 2:01 AM

#

alr bet thanks 🙏🏾

cedar kilnBOT Mar 18, 2022, 2:16 AM

#

@little lance Has your question been resolved?

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Channel closed

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cedar kilnBOT Mar 18, 2022, 3:33 AM

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uneven nymph Mar 18, 2022, 3:37 AM

#

how do i find it?

cedar kilnBOT Mar 18, 2022, 3:37 AM

#

uneven nymph how do i find it?

scenic stirrup Mar 18, 2022, 3:40 AM

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do you know the relationships of these types of angles?

uneven nymph Mar 18, 2022, 3:40 AM

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Correspodnign?

scenic stirrup Mar 18, 2022, 3:40 AM

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yeah

uneven nymph Mar 18, 2022, 3:41 AM

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I dont know how to find it

scenic stirrup Mar 18, 2022, 3:41 AM

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what's the relationship between angle 1 and angle 2?

uneven nymph Mar 18, 2022, 3:41 AM

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Corresponding\

scenic stirrup Mar 18, 2022, 3:42 AM

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not quite, they're actually opposite

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but that means angles 1 and 2 are equal, right?

uneven nymph Mar 18, 2022, 3:42 AM

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Yes

scenic stirrup Mar 18, 2022, 3:42 AM

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and what's the relationship between 2 and 4?

uneven nymph Mar 18, 2022, 3:43 AM

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Linear?

scenic stirrup Mar 18, 2022, 3:43 AM

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no...?

uneven nymph Mar 18, 2022, 3:43 AM

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I missed this day

scenic stirrup Mar 18, 2022, 3:43 AM

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do you know what corresponding angles are?

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you need them to help solve this problem

uneven nymph Mar 18, 2022, 3:44 AM

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Angles that have the same position

scenic stirrup Mar 18, 2022, 3:44 AM

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not exactly

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but the same "relative position" yeah

#

#

so like this

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follow me?

uneven nymph Mar 18, 2022, 3:44 AM

#

Yes

scenic stirrup Mar 18, 2022, 3:45 AM

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uneven nymph how do i find it?

are angles 2 and 4 corresponding in this?

uneven nymph Mar 18, 2022, 3:45 AM

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no right?

scenic stirrup Mar 18, 2022, 3:45 AM

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why not?

uneven nymph Mar 18, 2022, 3:45 AM

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They're on the same side

scenic stirrup Mar 18, 2022, 3:45 AM

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and?

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aren't these on the same side as well?

uneven nymph Mar 18, 2022, 3:46 AM

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They're not on the same side of the line

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But the 2 and 4 are

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Oh the middle line they are

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not the top and bottom

scenic stirrup Mar 18, 2022, 3:46 AM

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2 and 4 are corresponding

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the graph is the same, just tilt your screen a little

uneven nymph Mar 18, 2022, 3:47 AM

#

I get you

scenic stirrup Mar 18, 2022, 3:48 AM

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see?

uneven nymph Mar 18, 2022, 3:48 AM

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Yea I see now

scenic stirrup Mar 18, 2022, 3:48 AM

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great 😄

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also you might wanna check in w/ your teacher if you missed that class

uneven nymph Mar 18, 2022, 3:49 AM

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I know I plan to but trying to knock this out

scenic stirrup Mar 18, 2022, 3:49 AM

#

ight gl

#

reopen if you have any questions

uneven nymph Mar 18, 2022, 3:49 AM

#

.close

cedar kilnBOT Mar 18, 2022, 3:49 AM

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grand gale Mar 18, 2022, 3:57 AM

#

How do I do this?

cedar kilnBOT Mar 18, 2022, 3:57 AM

#

grand gale How do I do this?

wraith daggerBOT Mar 18, 2022, 3:58 AM

#

Rasperro

grand gale Mar 18, 2022, 4:11 AM

#

<@&286206848099549185>

cedar kilnBOT Mar 18, 2022, 4:26 AM

#

@grand gale Has your question been resolved?

cedar kilnBOT Mar 18, 2022, 5:02 AM

#

@grand gale Has your question been resolved?

cedar kilnBOT Mar 18, 2022, 6:03 AM

#

@grand gale Has your question been resolved?

cedar kilnBOT Mar 18, 2022, 8:44 AM

#

@grand gale Has your question been resolved?

zenith shadow Mar 18, 2022, 9:44 AM

#

So what you did doesn't work for this case since the the students are unique. x1, x2, x3, x4 only counts the number of them. Now the Stirling number S(n,4) counts the number of ways to permute the students into four sets where each contain at least one student which is almost what you want. You could try to modify this to account for the uniqueness of the days and then subtract the cases where one group only had a single student.

cedar kilnBOT Mar 18, 2022, 12:45 PM

#

@grand gale Has your question been resolved?

cedar kilnBOT Mar 18, 2022, 4:45 PM

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Channel closed

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cedar kilnBOT Mar 18, 2022, 7:04 PM

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shell agate Mar 18, 2022, 7:08 PM

#

Anyone got a formula to figure out where groups of objects are?

cedar kilnBOT Mar 18, 2022, 7:08 PM

#

shell agate Anyone got a formula to figure out where groups of objects are?

shell agate Mar 18, 2022, 7:08 PM

#

leaden snow Mar 18, 2022, 7:09 PM

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Look at "clustering analysis"

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there is no simple formula, only algorithms

shell agate Mar 18, 2022, 7:10 PM

#

ah ok thank you

#

.close

cedar kilnBOT Mar 18, 2022, 7:10 PM

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Channel closed

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proven cloak Mar 18, 2022, 7:34 PM

#

cedar kilnBOT Mar 18, 2022, 7:34 PM

#

proven cloak

proven cloak Mar 18, 2022, 7:34 PM

#

Have I done this right, almost certain I have

#

Just wanna make sure

harsh relic Mar 18, 2022, 7:37 PM

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top is correct

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bottom is wrong

proven cloak Mar 18, 2022, 7:39 PM

#

Darn

harsh relic Mar 18, 2022, 7:39 PM

#

(2/3)*10pi is not 5pi/3 ya

proven cloak Mar 18, 2022, 7:39 PM

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I simplified both sides

#

Or maybe I’m just dumb

wicked brook Mar 18, 2022, 7:39 PM

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2 * 10 is not 5

proven cloak Mar 18, 2022, 7:40 PM

#

Yes

#

I know

#

I guess they are both 20pi /3 then

harsh relic Mar 18, 2022, 7:45 PM

#

yes

cedar kilnBOT Mar 18, 2022, 7:56 PM

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@proven cloak Has your question been resolved?

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Channel closed

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autumn prawn Mar 18, 2022, 8:27 PM

#

Given that every natural number larger than 1 can be factored into form of prime factors: 2^p * 3^q * 5^r * 7^s ...

The amount of the divisors that number has is given by this formula: (p + 1)*(q + 1)*(r+1)*...

However, the amount of odd divisors is simply just (q+1)*(r+1)*...

I would like to understand why is it exactly like this, what is
the (algebraic) proof for it (I understand the formula for total amount of divisors)
Talking about even numbers specifically here, odd numbers do not have any even divisors so i can just use the general formula to count odd divisors for them

cedar kilnBOT Mar 18, 2022, 8:27 PM

#

autumn prawn Given that every natural number larger than 1 can be factored into form of prime...

wicked brook Mar 18, 2022, 8:32 PM

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basically

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you can either choose or not choose each option

#

so you can have 0, 1, 2, ..., p two's (p+1 choices) etc.

#

thats where the +1 comes from

autumn prawn Mar 18, 2022, 8:33 PM

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yeah, and in my case it will always be at least one, because the number is even

#

ah wait

wicked brook Mar 18, 2022, 8:34 PM

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at least two

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since primes are p^1

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1+1 = 2

autumn prawn Mar 18, 2022, 8:34 PM

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i mean, if p = 1, then the number is a multiple of 2 but not a multiple of 4 etc

wicked brook Mar 18, 2022, 8:34 PM

#

yea

autumn prawn Mar 18, 2022, 8:35 PM

#

given for example p = 3 and q = 2, to make out every divisor, i would take any p from 0 to 3, and any q from 0 to 2, and multiply them, to get one divisor, so i have 4 choices for p and 3 choices for q hence 4 * 3 = 12 divisors

wicked brook Mar 18, 2022, 8:35 PM

#

yes

autumn prawn Mar 18, 2022, 8:35 PM

#

but for counting only odd divisors, i dont choose 0 in the prime number 2, right?

wicked brook Mar 18, 2022, 8:36 PM

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yes

autumn prawn Mar 18, 2022, 8:36 PM

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let me just make up an example rq

wicked brook Mar 18, 2022, 8:38 PM

#

k

autumn prawn Mar 18, 2022, 8:39 PM

#

p = 2
q = 2
(2^2 * 3^2) = 36
all divisors (there are 9 for that number): ```
2^0 * 3^0, 2^1 * 3^0, 2^2 * 3^0,
2^0 * 3^1, 2^1 * 3^1, 2^2 * 3^1,
2^0 * 3^2, 2^1 * 3^2, 2^2 * 3^2,

#

the divisors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

#

odd: 1, 3, 9; even: 2, 4, 6, 12, 18, 36

mighty drift Mar 18, 2022, 8:39 PM

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"However, the amount of odd divisors is simply just p*(q+1)*(r+1)*..." isn't this the even divisors rather ?

autumn prawn Mar 18, 2022, 8:40 PM

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uh yeah my bad sorry

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one sec

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i underlined the odd factors

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and the rest are even , so it is just p * (q+1) * (r+1)...

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i got it thx

autumn prawn Mar 18, 2022, 8:41 PM

#

mighty drift "However, the amount of odd divisors is simply just p\*(q+1)\*(r+1)\*..." isn't ...

i'll edit the message up there

#

.close

cedar kilnBOT Mar 18, 2022, 8:42 PM

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wild portal Mar 18, 2022, 9:09 PM

#

I want to find the childs for each of the nodes. It's obvious that lChild = parent + 1. For the right child I came up with:

cedar kilnBOT Mar 18, 2022, 9:09 PM

#

wild portal I want to find the childs for each of the nodes. It's obvious that `lChild = par...

wild portal Mar 18, 2022, 9:09 PM

#

$rChild = parent + 2 ^ {TreeDepth - GetLevel(parent)}$

wraith daggerBOT Mar 18, 2022, 9:09 PM

#

BoyBaykiller

wild portal Mar 18, 2022, 9:11 PM

#

However now I am stuck with finding a function which returns the level of some node-index. For example GetLevel(17) = 3. Any ideas?

dire geode Mar 18, 2022, 9:14 PM

#

wild portal I want to find the childs for each of the nodes. It's obvious that `lChild = par...

what is your math question

#

this looks entirely computer science

mighty drift Mar 18, 2022, 9:15 PM

#

wild portal However now I am stuck with finding a function which returns the level of some n...

If you want to program this just keep the level known as a variable

wild portal Mar 18, 2022, 9:17 PM

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dire geode what is your math question

Might be computer science anyway I think this is highly related to math. My question would be what this function might look like/how I can approach this

dire geode Mar 18, 2022, 9:19 PM

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wild portal Might be computer science anyway I think this is highly related to math. My ques...

everything can be related to math then. that's not what help channels are for

#

help channels are meant for math course work

wild portal Mar 18, 2022, 9:20 PM

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mighty drift If you want to program this just keep the level known as a variable

Yeah I thought about that before but then I run into other problems and I think its cleaner to just have a pure function.

wild portal Mar 18, 2022, 9:20 PM

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dire geode help channels are meant for math course work

oh

#

i am sry then

#

should I close then (and maybe ask somewhere else here)?

dire geode Mar 18, 2022, 9:34 PM

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wild portal should I close then (and maybe ask somewhere else here)?

just rephrase your question in terms of math. don't make people look up domain definitions for you

#

probably something recursive

#

if that's too much work for you then yea .close the channel

cedar kilnBOT Mar 18, 2022, 9:40 PM

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@wild portal Has your question been resolved?

cedar kilnBOT Mar 18, 2022, 9:55 PM

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crimson sedge Mar 18, 2022, 10:25 PM

#

cedar kilnBOT Mar 18, 2022, 10:25 PM

#

crimson sedge

patent flame Mar 18, 2022, 10:26 PM

#

,rotate

wraith daggerBOT Mar 18, 2022, 10:26 PM

#

crimson sedge Mar 18, 2022, 10:26 PM

#

1b

cedar kilnBOT Mar 18, 2022, 10:41 PM

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@crimson sedge Has your question been resolved?

cedar kilnBOT Mar 18, 2022, 11:17 PM

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@crimson sedge Has your question been resolved?

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final sparrow Mar 19, 2022, 12:24 AM

#

Can I get some help nondimensionalizing this?

cedar kilnBOT Mar 19, 2022, 12:24 AM

#

final sparrow Can I get some help nondimensionalizing this?

final sparrow Mar 19, 2022, 12:33 AM

#

I am having trouble understanding how my teacher chooses variables

cedar kilnBOT Mar 19, 2022, 12:48 AM

#

@final sparrow Has your question been resolved?

final sparrow Mar 19, 2022, 12:48 AM

#

<@&286206848099549185>

dire geode Mar 19, 2022, 1:12 AM

#

final sparrow Can I get some help nondimensionalizing this?

do you have notes on this?

#

usually there are constants you divide

cedar kilnBOT Mar 19, 2022, 1:23 AM

#

@final sparrow Has your question been resolved?

final sparrow Mar 19, 2022, 1:23 AM

#

dire geode do you have notes on this?

We have to come up with them on our own

#

@dire geode These are notes from a similar thing we did in class

dire geode Mar 19, 2022, 1:29 AM

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final sparrow Can I get some help nondimensionalizing this?

you have to figure out the dimensions for a,b,c, and d first

#

then scale S, and I, and t in terms of those 4

final sparrow Mar 19, 2022, 1:29 AM

#

dire geode you have to figure out the dimensions for a,b,c, and d first

How do I do that?

#

Ok, so: S is a susceptible population w.r.t time, and I is an infected population w.r.t time

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and there is the independent variable t, time

dire geode Mar 19, 2022, 1:41 AM

#

final sparrow How do I do that?

set dimensions to both sides of each equation to be equal

final sparrow Mar 19, 2022, 1:48 AM

#

dire geode set dimensions to both sides of each equation to be equal

can you help me out a little more here? sorry i am.. bad at this

dire geode Mar 19, 2022, 2:12 AM

#

final sparrow can you help me out a little more here? sorry i am.. bad at this

S and I are population, and t is time. a *S * I must have the same dimensions as S / t

cedar kilnBOT Mar 19, 2022, 2:48 AM

#

@final sparrow Has your question been resolved?

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hard tiger Mar 19, 2022, 3:50 AM

#

How would we differentiate 1/R = 1/R1 + 1/R2?
it somehow appears as dR/R^2 = dR1/R1^2 + dR2/R2^2

cedar kilnBOT Mar 19, 2022, 3:50 AM

#

hard tiger How would we differentiate 1/R = 1/R1 + 1/R2? it somehow appears as dR/R^2 = dR1...

hard tiger Mar 19, 2022, 3:51 AM

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shouldnt the differential quotient end

dire geode Mar 19, 2022, 3:54 AM

#

hard tiger How would we differentiate 1/R = 1/R1 + 1/R2? it somehow appears as dR/R^2 = dR1...

This is ambiguous. Write it out and take a photo

cedar kilnBOT Mar 19, 2022, 4:06 AM

#

@hard tiger Has your question been resolved?

hard tiger Mar 19, 2022, 4:17 AM

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dire geode This is ambiguous. Write it out and take a photo

.

#

i don't retain the differential quotient in the second one

dire geode Mar 19, 2022, 4:18 AM

#

hard tiger .

Are all 3 of them a function of the same variable?

hard tiger Mar 19, 2022, 4:19 AM

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R' is Equivalent resistance

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i used Req

dire geode Mar 19, 2022, 4:19 AM

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hard tiger R' is Equivalent resistance

That doesn't answer my question?

#

Wait R' isn't the derivative of R?

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Jesus this notation is terrible

hard tiger Mar 19, 2022, 4:21 AM

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idk it's the resistance formula and we're calculating error in calculation

hard tiger Mar 19, 2022, 4:22 AM

#

hard tiger .

idk how they got the second one here

dire geode Mar 19, 2022, 4:23 AM

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It looks like chain rule

#

They're not taking derivatives with respect to the variable you think they are

hard tiger Mar 19, 2022, 4:25 AM

#

https://byjus.com/question-answer/derive-the-resistance-in-parallel-circuit-relation-delta-r-r-2-delta-r1-r1-2/ check this

Derive the resistance in parallel circuit relation: Delta R/R^2 = d...

Derive the resistance in parallel circuit relation:
Delta R/R^2 = delta R1/R1^2 + delta R2/R2^2

dire geode Mar 19, 2022, 4:26 AM

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dire geode It looks like chain rule

.

hard tiger Mar 19, 2022, 4:32 AM

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uhhhh

#

i haven't learnt about that

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but the tutorials didn't mention that

dire geode Mar 19, 2022, 4:35 AM

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hard tiger i haven't learnt about that

Have you taken differential calculus?

#

Review this blue box
https://tutorial.math.lamar.edu/classes/calci/chainrule.aspx

Calculus I - Chain Rule

In this section we discuss one of the more useful and important differentiation formulas, The Chain Rule. With the chain rule in hand we will be able to differentiate a much wider variety of functions. As you will see throughout the rest of your Calculus courses a great many of derivatives you take will involve the chain rule!

cedar kilnBOT Mar 19, 2022, 5:02 AM

#

@hard tiger Has your question been resolved?

cedar kilnBOT Mar 19, 2022, 5:32 AM

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barren osprey Mar 19, 2022, 5:46 AM

#

What is this question asking me to do exactly? And what signals to you how you need to solve for it

cedar kilnBOT Mar 19, 2022, 5:46 AM

#

barren osprey What is this question asking me to do exactly? And what signals to you how you n...

dire geode Mar 19, 2022, 5:47 AM

#

Linear function means it's equal to m * x + b for some constant values m and b

barren osprey Mar 19, 2022, 5:48 AM

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Alright

#

What is it asking me to do?

dire geode Mar 19, 2022, 5:49 AM

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Solve for m and b using the given two points

barren osprey Mar 19, 2022, 5:50 AM

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The two given points are (-5,-12) and (7,6) right?

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no they are (-12,-5) and (6,7)

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I think

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no it is (-5,-12) and (7,6)

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no its not

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i have no idea please help, oh nvm dw it is, i needa make a note of which is which. sorry thanks

#

.close

cedar kilnBOT Mar 19, 2022, 6:00 AM

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cedar kilnBOT Mar 19, 2022, 8:05 AM

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stuck stream Mar 19, 2022, 8:10 AM

#

.reopen

#

cedar kilnBOT Mar 19, 2022, 8:10 AM

#

stuck stream

stuck stream Mar 19, 2022, 8:11 AM

#

any particular way of solving this?

#

i have no idea how to do this. first it was simple finding of the limits then suddenly this came

#

you substitute the x?

cedar kilnBOT Mar 19, 2022, 8:29 AM

#

@stuck stream Has your question been resolved?

dire geode Mar 19, 2022, 8:37 AM

#

Can't you directly plug in 3/2 for both terms

#

Oh wait not the second one

cedar kilnBOT Mar 19, 2022, 8:44 AM

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velvet saffron Mar 19, 2022, 8:47 AM

#

cedar kilnBOT Mar 19, 2022, 8:47 AM

#

velvet saffron

velvet saffron Mar 19, 2022, 8:47 AM

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arent these already arguments?

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it doesnt specify to make it lie within -pi and pi so idk what it means by convert these into arguments?

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are arguments usually in the form of -pi and pi?

bold hinge Mar 19, 2022, 8:58 AM

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The argument of a vector is the angle it forms with the POSITIVE x-axis.

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Such that -π < θ <= π

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@velvet saffron

velvet saffron Mar 19, 2022, 9:00 AM

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so the argument must always be within -pi and pi

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for example 7pi/4 would become -pi/4

bold hinge Mar 19, 2022, 9:00 AM

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Yes. Are you familiar with the concept of a "coterminal" angle?

velvet saffron Mar 19, 2022, 9:00 AM

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no

bold hinge Mar 19, 2022, 9:01 AM

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Angles that differ by integer multiples of 2π are called "coterminal".

#

Right. So you can say that 90 degrees is equivalent to 450 degrees.

velvet saffron Mar 19, 2022, 9:02 AM

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ah

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so you must minus 2pi from it to make it add up right?

bold hinge Mar 19, 2022, 9:03 AM

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Yeah basically

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To get it within the interval

velvet saffron Mar 19, 2022, 9:03 AM

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why is it that sometimes the argument can be from the interval 0 to 2pi but sometimes its -pi to pi

bold hinge Mar 19, 2022, 9:04 AM

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It depends on the context

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It really doesn't matter all that much

velvet saffron Mar 19, 2022, 9:06 AM

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so -pi/6 would be the same as 11pi/6 ?

bold hinge Mar 19, 2022, 9:06 AM

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Yeah

velvet saffron Mar 19, 2022, 9:06 AM

#

i could use either in polar form?

bold hinge Mar 19, 2022, 9:07 AM

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Yeah you could. But it's best to keep the angle in the interval

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Are you working with complex numbers?

velvet saffron Mar 19, 2022, 9:07 AM

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yes i am

bold hinge Mar 19, 2022, 9:07 AM

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Oh great. Theres a reason why we choose -pi to pi as the interval

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Because allows us to define the logarithm as a single valued function

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Such that log(-1) = iπ

#

I'm assuming you are familiar with De Moivre's formula?

velvet saffron Mar 19, 2022, 9:09 AM

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our class isnt doing anything too complicated, just mainly working with complex systems and how operations work on them

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this is just basic year 11 math that we are doing

bold hinge Mar 19, 2022, 9:10 AM

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What do you mean by complex systems? Are you actually working with complex numbers

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Like numbers in the form a+bi

velvet saffron Mar 19, 2022, 9:11 AM

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yeah so for example z1= 2+2i and z2= 4-3i

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and they would just give us questions like find modulus of z2 or z1*z2

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and convert z2 into polar form and such, the only thing i was struggling with was polar form

bold hinge Mar 19, 2022, 9:13 AM

#

Great, glad we've got that all figured out.

#

You should look into De Moivre's formula

velvet saffron Mar 19, 2022, 9:14 AM

#

i think my teacher mentioned him one time but thats it

bold hinge Mar 19, 2022, 9:14 AM

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That will help you see the relation between the Cartesian and polar coordinates much more clearly

velvet saffron Mar 19, 2022, 9:14 AM

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he hasnt been very helpful, he just gives us formulas and tells us to do work he hasnt explained

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and i have my test on monday and im still kinda confused about a few things

bold hinge Mar 19, 2022, 9:15 AM

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Like what

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I don't mind helping you work through it

velvet saffron Mar 19, 2022, 9:16 AM

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well i cant think of any examples but some things just confuse me

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like finding values of trig functions from the top of my head

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let me get an example question

#

#

i can do part a easily

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also our school is weird so they use "cis" which i dont think is used widely but its just an abbreviation of cos + isin

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just another way of saying r(cos(theta) + isin(theta)

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but b is something i cant do at all

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or d

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i dont know how to find products of two complex numbers in polar form

bold hinge Mar 19, 2022, 9:19 AM

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cis is commonly used

velvet saffron Mar 19, 2022, 9:19 AM

#

oh okay good

bold hinge Mar 19, 2022, 9:20 AM

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Any mathematician will know what that means

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Alright so you're confused on part b?

velvet saffron Mar 19, 2022, 9:20 AM

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yes

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would i convert both complex numbers to cartesian form first?

solid quarry Mar 19, 2022, 9:20 AM

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tfw cos + isin gendered

bold hinge Mar 19, 2022, 9:22 AM

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Let t = theta. I just don't feel like writing greek letters out haha

velvet saffron Mar 19, 2022, 9:22 AM

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yeah lol

bold hinge Mar 19, 2022, 9:22 AM

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e^(it) = cos t + i sin t

#

Have you seen this before?

velvet saffron Mar 19, 2022, 9:22 AM

#

e just basically means cis right?

bold hinge Mar 19, 2022, 9:23 AM

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No

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The left side is exponentiation

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e to the power of i times t

velvet saffron Mar 19, 2022, 9:23 AM

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we havent covered e yet

bold hinge Mar 19, 2022, 9:23 AM

#

Alright. Just take this as an axiom then because it makes things a lot simpler

#

So let's say we have two complex numbers whose modulus is 1

#

z1 = e^(in)
z2 = e^(ik)
z1 × z2 = e^(i(n+k))

#

= cis(n+k)

velvet saffron Mar 19, 2022, 9:25 AM

#

do i NEED to know this because i dont want to confuse myself too much

bold hinge Mar 19, 2022, 9:26 AM

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or in general: multiply the moduluses and sum the angle

bold hinge Mar 19, 2022, 9:27 AM

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velvet saffron do i NEED to know this because i dont want to confuse myself too much

Ideally you should

velvet saffron Mar 19, 2022, 9:27 AM

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for right now can we just use cis as thats all i have learnt

bold hinge Mar 19, 2022, 9:28 AM

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Yeah

#

Let z1 have modulus r1 and angle t1
Let z2 have modulus r2 and angle t2

z1×z2 = (r1×r2) cis(t1+t2)

velvet saffron Mar 19, 2022, 9:30 AM

#

oh is it that simple?

bold hinge Mar 19, 2022, 9:30 AM

#

Yeah

velvet saffron Mar 19, 2022, 9:30 AM

#

just multiply the modulus and the angles?

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oh add the angles

bold hinge Mar 19, 2022, 9:31 AM

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Multiply the moduli, add the angles

velvet saffron Mar 19, 2022, 9:31 AM

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oh okay, thats fairly simple

bold hinge Mar 19, 2022, 9:31 AM

#

It really is

velvet saffron Mar 19, 2022, 9:32 AM

#

ok thank you very much

#

i think ive gotten most of what i was struggling with

#

.close

cedar kilnBOT Mar 19, 2022, 9:33 AM

#

Channel closed

Closed by @velvet saffron

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cedar kilnBOT Mar 19, 2022, 11:40 AM

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feral zephyr Mar 19, 2022, 12:33 PM

#

Hey there I dont really get this problem like where did 5 come from? Unless its a typo please help me solve for this problem

cedar kilnBOT Mar 19, 2022, 12:33 PM

#

feral zephyr Hey there I dont really get this problem like where did 5 come from? Unless its ...

stuck stream Mar 19, 2022, 12:34 PM

#

ok so the cake is 10 diameters right? according to the equation they are looking for the radius

#

diameter divided by 2 is the radius

#

hence, 10 divided by 2 is 5

jaunty mural Mar 19, 2022, 12:34 PM

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10 inches in diameter

#

How many inches in radius?

feral zephyr Mar 19, 2022, 12:35 PM

#

wait

#

oh okay

#

so when they are looking for the radius diameter its always divided by 2?

feral zephyr Mar 19, 2022, 12:37 PM

#

jaunty mural How many inches in radius?

so 5 because what he previously said

jaunty mural Mar 19, 2022, 12:39 PM

#

perhaps review what a diameter is

#

and what a radius is

#

what these 2 words mean

#

since youre unsure.

feral zephyr Mar 19, 2022, 12:39 PM

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Oh okay

#

Wait 5x5x3.14?

#

And for the other radius the same thing but it’s not pi 2 and instead you add the height right?

#

So 5x4x3.14?

stuck stream Mar 19, 2022, 12:43 PM

#

yes

feral zephyr Mar 19, 2022, 12:43 PM

#

stuck stream yes

My formula should be something like this right

stuck stream Mar 19, 2022, 12:45 PM

#

yes correct

feral zephyr Mar 19, 2022, 12:46 PM

#

Thanks

#

I just got confused with diameter and radius so I forgot to divide

cedar kilnBOT Mar 19, 2022, 1:02 PM

#

@feral zephyr Has your question been resolved?

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bright scarab Mar 19, 2022, 1:30 PM

#

Here is a mechanics question im attempting:
A particle has an initial velocity of Ums−1, where U <7. It decelerates uniformly at 1/10ms-2 until it reaches a velocity of (3U −18)ms−1. It then moves at this velocity for a further 10s. The total distance travelled by the particle is 200m. For the motion of the particle sketch a speed-time graph, an acceleration time graph and find the value of U.

FYI, ms-1 is the same as m/s and ms-2 same as (m/s)/s. I am needing help with the value U not graphs, unless you can spot something wrong with mine.
Here are my attempts, i tried to make few simultaneous equations to find u or x(time), to which none get to the answer. I tried using the area under the acceleration graph and equal to some velocity, used the area of velocity graph and equal to 200 to try a simultaneous equation, soforth to no avail. I am not interested in the answer, U is 6.25, but i do not know how to get to it and want someone to explain

cedar kilnBOT Mar 19, 2022, 1:30 PM

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bright scarab Here is a mechanics question im attempting: A particle has an initial velocity o...

bright scarab Mar 19, 2022, 1:30 PM

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harsh relic Mar 19, 2022, 1:30 PM

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bright scarab

,rotate

wraith daggerBOT Mar 19, 2022, 1:30 PM

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cedar kilnBOT Mar 19, 2022, 1:45 PM

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@bright scarab Has your question been resolved?

bright scarab Mar 19, 2022, 1:45 PM

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<@&286206848099549185>

cedar kilnBOT Mar 19, 2022, 2:15 PM

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@bright scarab Has your question been resolved?

bright scarab Mar 19, 2022, 2:16 PM

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<@&286206848099549185>

upper light Mar 19, 2022, 2:28 PM

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Ok idk just giving it a shot here

upper light Mar 19, 2022, 2:46 PM

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Ok I give up

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Made a careless mistake halfway

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@bright scarab equate the gradients for first equation which I saw you did
Equate area under graph to 200 for second equation which is also what you did
Ur working too messy so I lazy read
Probably careless

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Or just check using graphing calculator/app/website

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Put ur simultaneous equations in the graph and the intersection should be 6.25 or else that means ur equations are wrong

bright scarab Mar 19, 2022, 2:52 PM

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yeah i did for several combinations, gradient and area, area of acceleration could also equal to the new constant velocity and tried to get individual u and x values and on and on, all simultaneous equations in the wolf alpha and my calculator either dont give me 6.25 or no real roots

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sorry about working out wasnt meant to be ordered just tried

upper light Mar 19, 2022, 2:53 PM

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Then answer sheet wrong or ur equations wrong

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I can't follow ur working because too messy so can't tell either

bright scarab Mar 19, 2022, 2:54 PM

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idk, but i have no idea how the "u<7" is meant to help

upper light Mar 19, 2022, 2:54 PM

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When u solve the simultaneous

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U get quadratic

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Two solutions to u

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Reject the one larger than 7

bright scarab Mar 19, 2022, 2:55 PM

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ah ok

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ill try again, but if u can try as well and somehow get it that would be nice

upper light Mar 19, 2022, 2:55 PM

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I'm on phone bro

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I'm just spamming calculator

bright scarab Mar 19, 2022, 2:55 PM

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alr

upper light Mar 19, 2022, 2:55 PM

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Also outside rn

bright scarab Mar 19, 2022, 3:01 PM

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upper light Also outside rn

Nevermind i got it, thank you bro idk what you did but you made me realise where i went wrong with the accel and area sim equations lol

upper light Mar 19, 2022, 3:01 PM

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O ok

bright scarab Mar 19, 2022, 3:02 PM

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.close

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rustic heron Mar 19, 2022, 3:03 PM

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can i get help

cedar kilnBOT Mar 19, 2022, 3:03 PM

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rustic heron can i get help

rustic heron Mar 19, 2022, 3:03 PM

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so here i just made x as 0 and y as 0 to find the vertices of the triagle

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so 0,14 14,0 -1,0 0, 1.5

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kinda stuck on how to get a and finding p

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oh aso i found the edges

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i feel like ac = 8

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bc i sqrt 72 and sqrt 52 for ab

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oh the vertices are

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a: 1,3
b: 5,9
c: 11,3

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big dumb but even with this i cant find point p

cedar kilnBOT Mar 19, 2022, 3:24 PM

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@rustic heron Has your question been resolved?

violet rapids Mar 19, 2022, 3:25 PM

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rustic heron

how are you doing this?

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do you have a graph?

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crimson sedge Mar 19, 2022, 4:07 PM

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cedar kilnBOT Mar 19, 2022, 4:07 PM

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crimson sedge

crimson sedge Mar 19, 2022, 4:07 PM

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can someone help me with this

dire geode Mar 19, 2022, 4:17 PM

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crimson sedge can someone help me with this

What are you stuck on

crimson sedge Mar 19, 2022, 4:17 PM

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I dont even know where to start

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my intuition is rearanging $\abs{\frac{1}{n+1}} < \epsilon$

dire geode Mar 19, 2022, 4:19 PM

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Good start

wraith daggerBOT Mar 19, 2022, 4:19 PM

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Joseph Fourier

crimson sedge Mar 19, 2022, 4:19 PM

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$\frac{1}{\epsilon} < N \leq n$

dire geode Mar 19, 2022, 4:20 PM

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👍

wraith daggerBOT Mar 19, 2022, 4:21 PM

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Joseph Fourier

crimson sedge Mar 19, 2022, 4:22 PM

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@dire geode where do I even go from here

dire geode Mar 19, 2022, 4:23 PM

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crimson sedge <@!261933205387477002> where do I even go from here

Read this
https://people.uwec.edu/daviscw/oldclasses/math316Fall2015/handoutsOnProofWriting/epsilonN/Handout.pdf

crimson sedge Mar 19, 2022, 4:23 PM

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Does this just let me choose epsilon?

dire geode Mar 19, 2022, 4:23 PM

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You're done with scratch work. Now write the steps backwards for your proof

crimson sedge Mar 19, 2022, 4:23 PM

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the inequality

dire geode Mar 19, 2022, 4:23 PM

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crimson sedge Does this just let me choose epsilon?

No

crimson sedge Mar 19, 2022, 4:23 PM

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how am I done my scratch work

dire geode Mar 19, 2022, 4:23 PM

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dire geode Read this https://people.uwec.edu/daviscw/oldclasses/math316Fall2015/handoutsOnP...

.

crimson sedge Mar 19, 2022, 4:24 PM

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ah

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so wouldnt a good choice of N be $\frac{1}{\epsilon}$

wraith daggerBOT Mar 19, 2022, 4:28 PM

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Joseph Fourier

dire geode Mar 19, 2022, 4:28 PM

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Right

crimson sedge Mar 19, 2022, 4:29 PM

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crimson sedge Does this just let me choose epsilon?

thats what I was saying with this

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Ok this sort of makes sense now

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thanks man @dire geode

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Ill be back soon

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.close

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gentle valve Mar 19, 2022, 4:34 PM

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cedar kilnBOT Mar 19, 2022, 4:34 PM

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gentle valve

gentle valve Mar 19, 2022, 4:34 PM

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hi there, im not very sure how to solve this qn

cedar kilnBOT Mar 19, 2022, 4:49 PM

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@gentle valve Has your question been resolved?

gentle valve Mar 19, 2022, 4:49 PM

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<@&286206848099549185>

dire geode Mar 19, 2022, 4:55 PM

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,rotate

wraith daggerBOT Mar 19, 2022, 4:55 PM

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dire geode Mar 19, 2022, 4:55 PM

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Speed = distance traveled divided by time

gentle valve Mar 19, 2022, 4:58 PM

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but how do i calculate it

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my conversions are quite weak

gentle valve Mar 19, 2022, 4:58 PM

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dire geode ,rotate

can you explain to me how this works?

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im unsure abt the part where u have to convert micro to m/s

dire geode Mar 19, 2022, 5:00 PM

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gentle valve im unsure abt the part where u have to convert micro to m/s

Microsec = 10^-6 sec

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Km = 1000 meters

gentle valve Mar 19, 2022, 5:08 PM

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1lright ty

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.close

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regal torrent Mar 19, 2022, 5:15 PM

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Hey guys, I need help with this mechanics I'm working on. It has really been a while since I touched mechanics specifically in mathematics so that should basically answer the question on why I'm working on a project like this.

I am basically working on a magnetic levitation system, and what I am currently trying to do is mathematically model the system to basically use the data to simulate on matlab, but I'm having a little bit of a difficulty in doing so. What I have done so far is designed the system, and have forces displayed on the ball and the coil.

So far I have mg(ball) = Force from electromagnet + air friction?, That's all I have at the moment, and shit I'm confused, because I've taken a look at others who have done these experiments and have documented this on their papers, and they all use the same F=MA like I'm using, but as second order, meaning they're solving for acceleration. How do i do that?

cedar kilnBOT Mar 19, 2022, 5:15 PM

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regal torrent Hey guys, I need help with this mechanics I'm working on. It has really been a w...

regal torrent Mar 19, 2022, 5:16 PM

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One paper I looked at had this second order F=MA equation for the magnet, and I'm not even sure how I can get there, like yeah I can copy his equation for sure, but actually understanding how they got there is my main issue.

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Paper in question:
Full link to paper: https://www.sciencedirect.com/science/article/pii/S2405896316301513

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My equation so far

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glad kestrel Mar 19, 2022, 5:19 PM

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might wanna ask the physics server bleak

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#old-network

regal torrent Mar 19, 2022, 5:20 PM

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Cool will do @glad kestrel

cedar kilnBOT Mar 19, 2022, 5:35 PM

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@regal torrent Has your question been resolved?

cedar kilnBOT Mar 19, 2022, 6:07 PM

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@regal torrent Has your question been resolved?

cedar kilnBOT Mar 19, 2022, 7:07 PM

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@regal torrent Has your question been resolved?

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wide hound Mar 19, 2022, 9:01 PM

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Help pl

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cedar kilnBOT Mar 19, 2022, 9:01 PM

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wide hound Help pl

wide hound Mar 19, 2022, 9:01 PM

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This is my attempt rn

obsidian coral Mar 19, 2022, 9:01 PM

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,rotate

wraith daggerBOT Mar 19, 2022, 9:02 PM

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wide hound Mar 19, 2022, 9:05 PM

#

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Fixed attempt

obsidian coral Mar 19, 2022, 9:05 PM

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,rotate

wraith daggerBOT Mar 19, 2022, 9:05 PM

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wide hound Mar 19, 2022, 9:14 PM

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<@&286206848099549185>

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im not sure how to simplify the second dervivative

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:(((

crimson sedge Mar 19, 2022, 9:29 PM

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wide hound im not sure how to simplify the second dervivative

it says find the derivative, u found it no need for simplifying it too much

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but u can do the ^3, put it in denominator as square root

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or don’t do the ^3, just do -1/(sqrt((x² - 2x)^3)

wide hound Mar 19, 2022, 9:34 PM

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oh

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is it right

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tho?

crimson sedge Mar 19, 2022, 9:34 PM

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hmm

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dunno

cedar kilnBOT Mar 19, 2022, 9:49 PM

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@wide hound Has your question been resolved?

dire geode Mar 19, 2022, 9:49 PM

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wide hound <@&286206848099549185>

Looks right

cedar kilnBOT Mar 19, 2022, 10:04 PM

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uneven osprey Mar 19, 2022, 10:37 PM

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Hey

cedar kilnBOT Mar 19, 2022, 10:37 PM

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uneven osprey Hey

uneven osprey Mar 19, 2022, 10:37 PM

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Help pls

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Compound figures

crimson sedge Mar 19, 2022, 10:38 PM

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you got the problem?

uneven osprey Mar 19, 2022, 10:38 PM

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Yes

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Here it is

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It's home work

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Finding perimeter of compound figures

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I already know area

crimson sedge Mar 19, 2022, 10:41 PM

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so you're trying to find the length of the smallest side?

uneven osprey Mar 19, 2022, 10:41 PM

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Yes

crimson sedge Mar 19, 2022, 10:42 PM

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hint: the length of the smaller side is the length of the largest side (8m) - the length of the 6m side.

uneven osprey Mar 19, 2022, 10:42 PM

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Of

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Oh

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Thats

crimson sedge Mar 19, 2022, 10:43 PM

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it's just 2m

uneven osprey Mar 19, 2022, 10:43 PM

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And add all the sides

uneven osprey Mar 19, 2022, 10:43 PM

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crimson sedge it's just 2m

For both small sides

crimson sedge Mar 19, 2022, 10:44 PM

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yeah

uneven osprey Mar 19, 2022, 10:47 PM

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Well thanks

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That's all I needed to know

crimson sedge Mar 19, 2022, 10:48 PM

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.close

uneven osprey Mar 19, 2022, 10:48 PM

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Ok

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.close

cedar kilnBOT Mar 19, 2022, 10:48 PM

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cedar kilnBOT Mar 20, 2022, 1:21 AM

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crimson sedge Mar 20, 2022, 1:24 AM

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.open

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/open

cedar kilnBOT Mar 20, 2022, 1:24 AM

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crimson sedge /open

crimson sedge Mar 20, 2022, 1:24 AM

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[] -> makes all positive?

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after

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Un is being?

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I am losing I from this

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the algo change every requests get I make to the website

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so I need to understand the algo

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The alhgorithm behind is always the same

cedar kilnBOT Mar 20, 2022, 1:44 AM

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@crimson sedge Has your question been resolved?

crimson sedge Mar 20, 2022, 1:47 AM

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[33 + 555 ^ 714250] + [714250 * -22] ?

cedar kilnBOT Mar 20, 2022, 2:17 AM

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@crimson sedge Has your question been resolved?

sick ruin Mar 20, 2022, 2:21 AM

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@opaque kite you there?

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cedar kilnBOT Mar 20, 2022, 4:51 AM

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near loom Mar 20, 2022, 5:26 AM

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Is a parallelogram with two right angles a square?

cedar kilnBOT Mar 20, 2022, 5:26 AM

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near loom Is a parallelogram with two right angles a square?

ornate grove Mar 20, 2022, 5:28 AM

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Not necessarily. It has to have equal lengths as well

near loom Mar 20, 2022, 5:28 AM

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Alright, thank you

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.close

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little wolf Mar 20, 2022, 5:38 AM

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How do one know out of the given formula which to use?

cedar kilnBOT Mar 20, 2022, 5:38 AM

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little wolf How do one know out of the given formula which to use?

little wolf Mar 20, 2022, 5:39 AM

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This question (no. 7) is using CLT, and how do we actually know that we must use CLT?

little wolf Mar 20, 2022, 5:39 AM

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little wolf How do one know out of the given formula which to use?

This is for 1a

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And this one for 7c

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Both of them used CLT, but why is the execution of the formulas different

cedar kilnBOT Mar 20, 2022, 5:56 AM

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@little wolf Has your question been resolved?

modern compass Mar 20, 2022, 5:57 AM

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little wolf Both of them used CLT, but why is the execution of the formulas different

one of them is a confidence interval, the other is a hypothesis test.

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tender field Mar 20, 2022, 6:39 AM

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cedar kilnBOT Mar 20, 2022, 6:39 AM

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tender field

tender field Mar 20, 2022, 6:39 AM

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How do u do q10

modern compass Mar 20, 2022, 6:42 AM

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Do you know sum of angle formulas?

tender field Mar 20, 2022, 6:42 AM

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Ik trig identities

modern compass Mar 20, 2022, 6:43 AM

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So you know these

tender field Mar 20, 2022, 6:43 AM

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Yh

modern compass Mar 20, 2022, 6:43 AM

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ok. use them

tender field Mar 20, 2022, 6:43 AM

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Which 1

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Oh so I use sin

modern compass Mar 20, 2022, 6:44 AM

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sin of what?

tender field Mar 20, 2022, 6:44 AM

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Sin (a + b )?

modern compass Mar 20, 2022, 6:44 AM

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great!

tender field Mar 20, 2022, 6:45 AM

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What value do u put for theta

modern compass Mar 20, 2022, 6:59 AM

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you don't. it's just theta

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they want you to find a and b

cedar kilnBOT Mar 20, 2022, 7:04 AM

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@tender field Has your question been resolved?

cedar kilnBOT Mar 20, 2022, 7:19 AM

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hollow dagger Mar 20, 2022, 8:15 AM

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cedar kilnBOT Mar 20, 2022, 8:15 AM

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hollow dagger

tropic oxide Mar 20, 2022, 8:18 AM

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@hollow dagger what is giving you trouble here?

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is it that you do not understand what the bus timetable is saying?

hollow dagger Mar 20, 2022, 8:20 AM

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I don’t understand what that column bit means

tropic oxide Mar 20, 2022, 8:20 AM

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what column bit?

hollow dagger Mar 20, 2022, 8:21 AM

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The bit where it says then at these times past the hour

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Ive never seen a table like that so it confusing

tropic oxide Mar 20, 2022, 8:22 AM

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after the first two buses (the ones departing from Canal St at 08:43 and 09:05), subsequent buses depart at 09:21, 09:50, 10:21, 10:50, 11:21, 11:50, etc.

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i.e. at times of the form xx:21 and xx:50

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and likewise for their arrival times at other stops

hollow dagger Mar 20, 2022, 8:23 AM

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So every hour at those times

tropic oxide Mar 20, 2022, 8:23 AM

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yes

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two buses every hour, at the indicated times past the hour

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you know how 12:05 is sometimes pronounced as "five past twelve"?

hollow dagger Mar 20, 2022, 8:24 AM

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Oh ok I understand now, so wouldn’t the answer to the question be 13:54?

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.close

cedar kilnBOT Mar 20, 2022, 8:25 AM

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Channel closed

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tropic oxide Mar 20, 2022, 8:25 AM

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...yes, it would be 13:54

cedar kilnBOT Mar 20, 2022, 8:26 AM

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sick ruin Mar 20, 2022, 8:39 AM

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I would recommend starting with the equation P(x) = 0 and multiplying through by 12

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You know the sum of roots rule for 4th degree polynomials?

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What does it say

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Bruh

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If you’re trying to prove it, won’t you have to write it out eventually? Lol

cedar kilnBOT Mar 20, 2022, 8:47 AM

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Channel closed

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sick ruin Mar 20, 2022, 8:47 AM

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My god

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You’re kind of sour dude lol

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What happened

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Yeah see

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This is what I’m saying

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I’m trying to help for free and you’re acting like some sort of royalty

cedar kilnBOT Mar 20, 2022, 8:48 AM

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sick ruin Mar 20, 2022, 8:49 AM

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are you deleting your messages