#help-33

1 messages · Page 14 of 1

deft apex
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if you double the number of starting adult cows, you double your final output kekw

thorn sparrow
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HAHAHAHAHA

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oops replied to myself

deft apex
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and if you change your minutes its exponential

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this is gonna be a differential equation isnt it

thorn sparrow
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yea it's exonential all right, tho i still think using series is our best bet

deft apex
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two things that can either increase or decrease

thorn sparrow
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yea you are probably right

deft apex
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we should say that we always either run it for 4 minutes or start with 2 cows

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to make it easy

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or we can try including both

thorn sparrow
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I have a good lead if you want to hear it

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it's not perfect

deft apex
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yes pls

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im having fun here

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for once kekw

thorn sparrow
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but it's a start

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ok give me a sec

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I divided the two lists and the the longer it gets the closer it gets to two

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but the longer it gets the less exact two's I get

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If we can get an exact formula or suite converting X baby cows to Y adult cows

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then we only have one suite

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meaning I can solve the recursive equation

deft apex
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hmm

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ill be honest dude, I have absolutely no idea how to even start this type of q

thorn sparrow
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thats fine tho still thank you for trying, do you have an Idea of to whom I can ask?

deft apex
deft apex
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they might know where to start

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also maybe re posting your q is a good idea because we kind of clogged the channel

thorn sparrow
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yea good idea KEK

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<@&286206848099549185> Lately I have been interested in converting coding problems into mathematical functions, and this is one of them :
You start with X adult cows and 0 baby cows. Once per minute, for every pair of adult cows, one baby cow will be bred. A baby cow takes 2 minutes to become an adult. So with X starting adult cows, how many of them will there be in Y minutes.
With Z being the final number of adult cows, your equation should only be expressed using X, Y and Z as variables. With f(X, Y) = Z

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the code is:

deft apex
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<@&286206848099549185>

thorn sparrow
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OOps

deft apex
thorn sparrow
main idol
main idol
thorn sparrow
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ok let me try this

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nope

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doesn't work

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I THINK I FOUND IT!

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@deft apex

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this might just work

deft apex
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sharkpog ?

thorn sparrow
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@deft apex ok I just came back, let me try it out

thorn sparrow
#

.close

marsh citrusBOT
#
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vapid nexus
marsh citrusBOT
vapid nexus
#

was trying to optimise for this using theta = arctan(15/x) - arctan(4/x) as the equation, then solving for x. but this was incorrect

got 15 cuz 15 = (11 + 9) - 4
got 4 cuz 4 = 8 - 4

marsh citrusBOT
#

@vapid nexus Has your question been resolved?

trim quest
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@vapid nexus your equation looks correct

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But read the directions. The first blank is expecting theta as a function of x

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Also, I didn't do the calculation so I'm not exactly sure how you got 35.38, but that number suggests you used degrees. You should be using radians

marsh citrusBOT
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@vapid nexus Has your question been resolved?

vapid nexus
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derivative of arctan(15/x)-arctan(4/x) = (see image)

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i set this equal to zero and got x = 7.74596

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then plugged this into arctan(15/x)-arctan(4/x) and got that number

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where did i go wrong?

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@trim quest

trim quest
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But, are you sure you're supposed to round it, instead of the exact value?

vapid nexus
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not sure

trim quest
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I'd wager you're meant to use exact values. That's usually the case in a math class unless the directions say otherwise

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Do you know what the exact value is?

vapid nexus
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7.74596669241

trim quest
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That's not exact either

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How did you get that?

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I mean specifically, just back up one step. What did you do to get that number

vapid nexus
trim quest
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Yeah, 2sqrt(15) is the exact value

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Any decimal is approximate

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Do you have a way to input square roots?

vapid nexus
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yes

trim quest
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Then 2sqrt(15) should work for the bottom one

vapid nexus
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ok

trim quest
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Oh yeah, that's right

vapid nexus
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and was it correct to sub 2*15^.5 in for x

trim quest
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There's no reason to do that.

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That would get you the angle, but that's not what the first blank is asking for

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It wants the function in terms of x

vapid nexus
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oh

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incorrect

trim quest
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Do you have an actual sqrt symbol you can use?

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Like do they provide you with symbols like that?

vapid nexus
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no

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but it should be equivalent

trim quest
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It is but sometimes programs like this aren't that smart

vapid nexus
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its worked with this before

trim quest
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oh

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damn

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it's not 15 and 4

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4 feet is the cow's eye level above the ground

vapid nexus
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so it'd be 19 and 11

trim quest
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Nah 15 and 7, it's like this

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The cow's eyes are 4 feet above the ground, the bottom of the screen is 11 feet above the ground

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And the screen is 8 feet tall

vapid nexus
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oh i c

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plugged in the new values, and worked smoothly

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thanks for the help

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.closse

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.close

marsh citrusBOT
#
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marsh citrusBOT
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still temple
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How do i factor this expression

marsh citrusBOT
celest wyvern
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i believe the question is wrong just leave it or recheck the question

still temple
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no it is right

celest wyvern
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or change the 24 to 25

still temple
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wth bro?

celest wyvern
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which grade are you in?

still temple
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?????

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I need to learn how to do this

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this was given to me by the teacher. I can’t leave it out.

celest wyvern
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u do know how to factorize at all right?

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if u can solve the quadratic substitute the x in the general form with k^3

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then solving should give you something if any form is fine

marsh citrusBOT
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@still temple Has your question been resolved?

still temple
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<@&286206848099549185>

marsh citrusBOT
#

@still temple Has your question been resolved?

still temple
#

<@&286206848099549185>

still temple
#

<@&286206848099549185>

still temple
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<@&286206848099549185>

marsh citrusBOT
#

@still temple Has your question been resolved?

still temple
#

no

marsh citrusBOT
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fleet sierra
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what is the general way of solving these types of (diagonal) determinants?

fleet sierra
devout mauve
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I would try finding a recurrence relation

fleet sierra
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interesting

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but this is material from second semester and i need to solve these without recurrence relation

devout mauve
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you could try solving the first few by hand and checking if you find a pattern

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and in the end, 8 is not that bad, you could do it by hand

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with row reducing

marsh citrusBOT
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@fleet sierra Has your question been resolved?

fleet sierra
#

thanks

marsh citrusBOT
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marsh citrusBOT
candid plank
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put 2^x+1

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as 2y y being 2^x

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then u get 2y=y+16

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then isolate and solve for y

hollow sparrow
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$16 + 2^x = 2^{x+1}\$
$16 = 2^{x+1} - 2^x\$
$16 = 2^x(2 - 1)\$
$16 = 2^x\$

elfin berryBOT
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MellowDramaLlama

hollow sparrow
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I think you can get it from there 🙂

candid plank
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2^x+1=2^x .2

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is the same as he did

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just i put 2^x as y

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how ?

candid plank
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just the same as llama

hollow sparrow
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So what he's saying is this:
Let $y = 2^x$. Then $16 + 2^x = 2^{x+1}$ turns into $16 + y = 2y \implies y = 16$. But $y = 2^x$ so $2^x = 16$.

elfin berryBOT
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MellowDramaLlama

hollow sparrow
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it's just using substitution to get rid of the 2^x

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which sometimes makes it easier to see 🙂

candid plank
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i cant find the emote i want

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😂😂

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nvm i got it

hollow sparrow
candid plank
marsh citrusBOT
#

@untold brook Has your question been resolved?

marsh citrusBOT
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still temple
marsh citrusBOT
still temple
#

completing the square

nova totem
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Yeah okay what have you done so far

still temple
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one sec

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sorry I did it with my non. dominant hand

still temple
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excuse the Messines

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I'm wondering do I subtract the two fractions or add them

ruby marsh
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yh subtract

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or u can add but factor -1 out

marsh citrusBOT
#

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spring briar
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hey i need some help with chain rule

marsh citrusBOT
spring briar
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wait nvm

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.close

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uneven bear
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Why wont I get the lowpoint in sin(bx), with the formula 1/b * 3pi/2 + 2pi* 1/b

uneven bear
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It isnt the lowPOINT, i know, but it should still give me the x-value. The left side of the plus is the first lowpoint and the right is for the period.

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With the k I should be able to decide, which lowpoint I want to get if k is element of Z.

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Wait a minute.

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.close

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plain notch
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Can anyone help me to solve this equation?

marsh citrusBOT
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@plain notch Has your question been resolved?

cobalt sentinel
#

Where’s the equation

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There’s no equals sign

marsh citrusBOT
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@plain notch Has your question been resolved?

marsh citrusBOT
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pearl zealot
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Need some big help lmao

marsh citrusBOT
unique basin
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Post your question

pearl zealot
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Im translating it

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Nvm it doesnt work somehow but

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The questions are

pliant stream
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Screenshot?

pearl zealot
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Given is the family of functions fa(x)=3x-a^2*x^3 ( a>0 )
a) Determine the zeros and the extrema of the family depending on a
b) Show that all family functions have a common tangent
t have .
c) determine the locus of high points of the set fa(x)
d) Investigate which family curve fa has a high point with the ordinate y = 4.
e) For which family curve fa applies: The distance from the high point and low point = square root of 5

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Its german so yall probably cant read it

pliant stream
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functions mmmmm

pearl zealot
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Yep

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Cubic function sets

pliant stream
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I only know a bit

pearl zealot
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^Well

pliant stream
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I might be asking this question too yk

pearl zealot
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lmao

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Its fine tho somebdoy hopefully will know something about that topic lmao

pliant stream
#

yeah

marsh citrusBOT
#

@pearl zealot Has your question been resolved?

marsh citrusBOT
#

@pearl zealot Has your question been resolved?

marsh citrusBOT
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spice copper
marsh citrusBOT
spice copper
#

I did l'hopital's rule and got e/1. Good?

eager venture
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yes

main idol
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,w plot (e^x-e)/log(x) for 0<x<2

spice copper
#

.close

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visual crow
marsh citrusBOT
visual crow
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how did they remove the denominator?

trim quest
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They just multiplied both sides by both denominators

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as in

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they multiplied both sides by t(3t^2+100)

visual crow
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ohh tysm i feel like i should know this but i am so tired rn lol

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thanks

trim quest
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no problem 👍

visual crow
#

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still temple
marsh citrusBOT
still temple
#

how do i do this question

eager venture
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so if $a$ and $b$ are the roots of $f(x) = x^2 - mx + 2$ what does this tell us about how $f(x)$ factors?

elfin berryBOT
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moonside

still temple
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uhhh not too sure

eager venture
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hmm

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like if i tell you a polynomial of degree two has roots 1 and 3

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can you tell me the polynomial?

still temple
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yeah

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(x -1)(x-3)

eager venture
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yes

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good

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now if i tell you a and b are the roots

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tell me hte polynomial in terms of a and b

still temple
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like (x - a)(x - b)

eager venture
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yes

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now foil that out and set it equal to what they tell you the polynomial is

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and compare the coefficients

still temple
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so like x^2 -xb - ab - ax?

eager venture
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yes can you simplify it a bit more

still temple
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there arent like terms???

eager venture
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yes there are

still temple
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wait hold on

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so q = (a + 1/b) (b + 1/a)

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so we have ab + 1 + 1 + 1/(ab)

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we know that ab = 2

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so we have 2 + 1 + 1 + 1/2

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4 + 1/2

eager venture
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yes

still temple
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so 8/2 + 1/2 = 9/2

eager venture
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you jumped some steps lol but yeah

still temple
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wdym

eager venture
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idk, you went from not understanding how to simplify $(x-a)(x-b) = x^2 -mx + 2$ to solving the problem

elfin berryBOT
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moonside

eager venture
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but i guess you only needed that ab = 2

still temple
#

i feel like it was worded overcomplicatedly??

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.close

marsh citrusBOT
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still temple
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.reopen

marsh citrusBOT
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still temple
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oh yeah the reason is that

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i forgot that the product of 2 roots is -b/ a

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so like -b is -m and a is 1

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so a + b = m

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-m

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product of 2 roots is c/a

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so 2/1

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and then you distributed (a + 1/b) and (b + 1/a)

eager venture
#

uh

still temple
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and then you blog in your values

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plug

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.close

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marsh citrusBOT
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@frank breach Has your question been resolved?

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marsh citrusBOT
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@frank breach Has your question been resolved?

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@frank breach Has your question been resolved?

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@frank breach Has your question been resolved?

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@frank breach Has your question been resolved?

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still temple
#

Quick question, but what would you give a geometric interpretation to the pair of equations: $x^2+y^2 = 49, z = x$?

still temple
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kind of confused on the z = x

elfin berryBOT
#

♡LexQa♡

still temple
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so it is going to be a circular shape, in the octane z = x

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really hard to visualise

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but...ellipse?

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it cannot have a uniform radius...can it?

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oh wait is it like going to be a circle with centre at the origin stretched out diagonally or something?

still temple
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the former

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well ig the graph will be of two circles with their planes perpendicular to each other

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hm

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not sure

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apparently the answer is "The ellipse formed by the intersection of the cylinder x^2+y^2=49 and the plane z=x"

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not sure how they got to that answer though

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oh wait yes that's true

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i was imagining x=z to be a line

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stupid me

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oh dw im still mentally 3 steps behind you with this

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and the x^2 + y^2 = 49

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will obviously form a cylinder

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thought it would be a circle

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gotta stay in touch with 3-D

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why would it obviously be a cylinder?

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because in the x-y plane the eqn will be of a circle but since no info has been given about z therefore the eqn will be true for any value of z the constraints are only on x and y and so you can strech the graph along the y-axis

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okay give me a second

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visualising 3D is so HARD

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so let my ooga booga brain try and understand this, so if we had something of the form x^2+y^2 = 49, z= 3 thats just going to be the plane perpendicular to the z axis at point 3, and it is going to form a circle

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now, if you very z with x, meaning z =x, it is not going to be only the plane of z = 3

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but multiple planes kind of added up together

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because now z can be anything

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forget the z=x while visualising the cylinder

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i kind of understand why it would be a cylinder

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because it is just multiple layers of circles, if u think about it

still temple
still temple
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so that makes sense, but i dont get the ellipse

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well we know that since both the equations have to be simultaneously true we'll have to take the common (intersecting) part of both the graphs

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intersection point... so the origin?

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because z = x is is just some weirdly diagonaled plane and the other is just going to be a cylindar

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no it's an ellipse

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okay so

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i dont really know how to make them simultaneously true in this program

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but that looks...funky

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also how the hell is that a cylindar haha

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you can see the ellipse

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it's the common portion

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yeah i figured now

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3-D diagram yumm

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what program is this

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i want it

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just searched like

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"3d grapher"

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ok thnx

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got this

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alrighty ty

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.close

marsh citrusBOT
#
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• Be polite and have a nice day!

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spice sail
#

Hi guys I badly need help right now, I didn't get to understand at learn our lesson since I was asleep because i slept late doing so many projects, I'm struggling how do I solve this rational function

spice sail
#

I have examples here but I forgot how sir did it

#

Lemme show brb

#

Here

#

Can someone mind willingly teach me

#

Please 🙏

still temple
blazing vortex
spice sail
#

Yes please

spice sail
blazing vortex
#

this may sound strange, but i use an analogy to explain this

blazing vortex
#

are you familiar with famous war battles? specifically, the battle at the beach of normandy?

spice sail
#

I'm not oof

#

But I can listen

blazing vortex
#

d-day, world war 2? it's the opening battle for the movie Saving Private Ryan

spice sail
#

Yes

#

I did

blazing vortex
#

okdoke, great

#

so during that battle, the germans had the land, and the allies were attacking from sea. the germans had the domain

#

they had the beach

spice sail
#

I bet this will sound interesting

blazing vortex
#

the germans had their machine guns and mortars and whatnot as their ranged attacks, trying to take out the allies as the allies tried to land on the beach

spice sail
#

Go on, i can sleep late tonight since it's about me learning the math

#

Right

blazing vortex
#

well, when you think of the cartesian coordinate, the domain is the left and right directions, like how you'd see a beach. the range is how far you can see or reach

#

you follow that so far?

spice sail
#

Wait, is the land and the domain are the same?

blazing vortex
#

yep

spice sail
#

Rightt

blazing vortex
#

so we can look to verify the domain of the first question, B(x) in your assignment

spice sail
blazing vortex
#

the left and right are the domain, the up and down are the range

spice sail
#

Oh yessss I know that

#

Righttt go on

blazing vortex
#

ah, ok, sorry, wanted to make sure i wasn't missing anything

spice sail
#

No no it's fine, it's actually cool coz Its way easier to understand

blazing vortex
#

so what i like to do first is find the domain. to do that, we're basically verifying if there are any specific numbers that we might plug in for x that won't give a valid number as output

spice sail
#

output is the domain right?

#

then range was the input???

#

Oh wait

blazing vortex
#

the value of the output would be the range

spice sail
#

Oh yess

#

I forgot that the y intercept depends on the x

blazing vortex
#

it's like putting a mortar shell in and firing it

spice sail
#

Ohhh

blazing vortex
#

you put in the input, and after it's fired and landed, you can see the range

spice sail
#

Ohhh

#

Yeaaa i get it now

blazing vortex
#

so for the first problem, B(x), the key thing that i like to keep in mind is that we cannot divide by zero

#

i do that for all problems like this

spice sail
#

right!

blazing vortex
#

we can't even do 0/0

#

so is there any number that we could plug in for x that would cause us to be dividing by zero?

spice sail
#

1?

#

Wait

#

Ohhh

#

It's 6?

#

Positive 6?

blazing vortex
spice sail
#

oh wait

#

Yes

#

Oh wait

#

12

#

It's 12?

blazing vortex
#

nice!

spice sail
#

😁

#

Am I correct????

blazing vortex
#

yep

spice sail
#

EUIRIEKDKK RIGHT

blazing vortex
#

that means that our domain is restricted, 12 is not within our domain

spice sail
#

Because i remember sir saying about the LCD

#

Right!

#

Also while we're discussing do you mind helping me like teaching me whole showing how the illustration of the solution looks like?

blazing vortex
#

that's why your notes have the "find the domain" bit

spice sail
#

They turned off the light so I'm gonna just right it here lol and gonna copy it tomorrow

spice sail
#

Oh right! I get it

#

B(x) = x+12
(-12) (-12)
x = -12?

blazing vortex
spice sail
blazing vortex
#

that's how we find where our domain is restricted

#

you'll see that your notes have something similar:

spice sail
#

Ohh so therefore -12 is the restricted value?

blazing vortex
spice sail
#

yeaaa right rightt

#

{x|x≠-12}?

blazing vortex
#

that bit at the bottom is basically saying that the domain can be any value of x except the restricted value

#

yep!

spice sail
#

OMG

#

So are we moving on the finding the y intercept?

blazing vortex
#

if you're ready 🙂

spice sail
#

YEP I AM

blazing vortex
#

ok, remember that cartesian coordinate pic i uploaded?

spice sail
#

Yep

blazing vortex
#

see where the red line passes through the y-axis?

spice sail
#

B(x) = x-6/x+12, let x = 0?

B(0) = 0-6/0+12 ?

blazing vortex
#

yep! i was going to say, you may notice that where the red line passes through the y-axis, x is equal to zero

spice sail
#

Ohhh

blazing vortex
#

this is how you find the y-intercept. you just plug in 0 for x

spice sail
#

Ohhhhhh

#

OMG

#

It's so cool that what you're teaching me is what I actually can somehow understand 😁

#

Alsoo what's next about the 0-6/0+12?

blazing vortex
#

you're doing the hard part, the learning 🙂 it's good effort!

spice sail
#

Also about the 0-6 do I have to put like parenthesis?

blazing vortex
spice sail
#

Oh rightt

blazing vortex
#

can you see how we can simplify this fraction?

spice sail
#

6/12?

blazing vortex
#

yep!

spice sail
#

😁

blazing vortex
#

and we can even simplify it further

spice sail
#

Hmm

#

I suck at turning something into a mixed fraction

#

3/14?

#

3/14*?

blazing vortex
#

it's not a mixed fraction, don't worry

spice sail
#

3/4*?

#

Oh

blazing vortex
#

is there a number that can go into 6 and also go into 12?

spice sail
#

3?

#

Or 2.

#

?*

#

3/6?

blazing vortex
#

that works, yeah. but you can simplify it even further 🙂

spice sail
#

X_X

blazing vortex
#

what number goes into both 3 and 6?

spice sail
#

12?

#

Or 6?

blazing vortex
#

naw, but here, it may help if i provide a visual way to see it

spice sail
#

Alright

blazing vortex
#

see how that makes sense?

spice sail
#

Oh it's a negative

blazing vortex
#

or, actually, a better way might be:

spice sail
#

2x2x3=12?

#

I get it :D

blazing vortex
spice sail
blazing vortex
#

lol, okdoke

spice sail
#

Sooo 0-6/0+12 = -6/12 = - 2x3/2x2x3

blazing vortex
#

negative sign, but yeah

spice sail
#

Oh right

blazing vortex
#

but here we can reduce the fraction

spice sail
#

Alrightt

blazing vortex
#

see how there's a 2 in the numerator and a 2 in the denominator?

spice sail
#

LCD?

#

Is it because of their LCD?

#

Or?

blazing vortex
#

LCD is lowest common denominator, which is something different, but i think you're thinking the right idea, just using the wrong words

spice sail
#

Ohhh

#

I forgot what it's called

blazing vortex
#

since there's a 2 in both the numerator and a 2 in the denominator, we can just cross each one of those out:

spice sail
#

3/6??

blazing vortex
#

you may notice that this means we can also do this with the 3 in the numerator and the 3 in the denominator

spice sail
#

Yee

blazing vortex
#

so we do it with those

spice sail
#

Ohhhhh

#

Wait I'm a bit confused kskdkskxkd

blazing vortex
spice sail
#

OH

#

1/2????

blazing vortex
#

negative sign 🙂

spice sail
#

-1/2*

#

😅

blazing vortex
#

yep! and remember that graph i posted above, with the red line?

spice sail
#

After the -1/1x2 do i have to put -1/2 at last or i can turn it -1/2 immediately instead of -1/1x2?

blazing vortex
#

you can just turn it to -1/2

spice sail
#

Alrighttt

blazing vortex
#

if you look at where the red line crosses the y-axis of that graph, what is the value of y?

spice sail
#

KSKKSKDKSKKDKEKDJ I'm so happy I managed to understand lol

blazing vortex
#

negative sign 🙂

spice sail
#

0 1/2 1 1 1/2 2

#

-1/2

blazing vortex
#

yep!

spice sail
#

😅😅

#

AHAHKGAJGLGAGAPJGAU

#

OMG

blazing vortex
#

you wanna try the g(x) in your assignment?

spice sail
blazing vortex
#

greatest common factor

spice sail
#

So that i could easily explain it to my classmates because, I'm gonna try answering it at the board

#

OH RIGHT

blazing vortex
#

it's the largest number that can go into each number

spice sail
#

Gcf

#

Righttt

#

OMG

#

Now for the other one, I'm gonna do it but can you check if I was right?

blazing vortex
#

i'd love to 🙂

spice sail
#

OMG

#

Alright

#

Lemme look at it again skkfkdkd

#

Okay Soo there's g(x) = x-2/2x+1

#

2x+1
(-2) (-2)
x=-2?

#

Am I right that -2 is the restriction?

blazing vortex
#

i'm afraid not, but it's okay

spice sail
blazing vortex
#

so in this case, the denominator is what?

spice sail
#

2x+1

blazing vortex
#

and we want to get x by itself, so that we can see what x is equal to, yeah?

spice sail
#

Can you also tell me how did they manage to solve like what was in my notes?

#

0 rifht

#

I forgot

#

Is it 0?

#

2x+1 = 0

blazing vortex
#

that's the right first step 🙂

spice sail
#

Ohh right

blazing vortex
#

so what can we do now?

spice sail
#

Then (-2) and (-2)?

blazing vortex
#

what do you mean, "Then (-2) and (-2)"?

spice sail
#

To be honest im confused how did they solve that in that arrow arrow thing in my notes

blazing vortex
#

it's okay, i can explain what they did

spice sail
spice sail
blazing vortex
#

i'll use the problem in your notes to explain it

spice sail
#

Alrightt

#

I'll be waiting 😁

blazing vortex
spice sail
#

Wait

#

Soo in the current problem that i am going to solve, i subtract 1 with the (-2)?

blazing vortex
#

in the notes, the (-5) and (-5) is where the person was subtracting 5 from both sides

spice sail
#

Yea

#

Since my problem is 2x+1, because of the 2 is positive so I'm gonna turn it into negative right?

blazing vortex
spice sail
#

Ah yesyes

blazing vortex
#

so in your case, what number are we going to subtract from both sides?

spice sail
#

2x+1
(-2)(-2)

blazing vortex
#

nope

spice sail
#

Aw

#

2 -2? 1-2?

blazing vortex
#

the 2 is "attached" to the x

spice sail
#

2x-2*

blazing vortex
#

just like the 3 is "attached" to the x in the notes

spice sail
#

Sooo

blazing vortex
#

but what isn't attached to the x?

spice sail
#

Ohh

#

Wait

#

I forgot cancelling out

spice sail
blazing vortex
#

yep, just like the 5 isn't attached to the x in the problem in the notes

spice sail
#

I subtract 2x-2 right Soo it's gonna be only x

blazing vortex
#

nope

spice sail
#

Aw

#

But am I right that the number I subtract is 2?

blazing vortex
#

in the notes, we basically "moved" the 5 over to the other side, yeah?

blazing vortex
spice sail
#

Wait lemme check

#

Awss

#

That's why

#

What should be the number?

#

Is it -1?

#

-2 and -1?

blazing vortex
#

we're moving the number that isn't attached to the x to the other side

spice sail
#

2x+1 = 0

#

Wait

#

Please don't be mad but I'm confused 😵

blazing vortex
#

no worries 🙂

spice sail
#

I'm still confused x_x

#

I'm trying to understand the arrow arrow thing

blazing vortex
#

in the 3x + 5 = 0, which number isn't attached to the x?

spice sail
#

5

blazing vortex
#

yep!

spice sail
#

Where do we move it??

blazing vortex
#

so let's move that to the other side. to do that, we subtract it from both sides

spice sail
#

Oh

blazing vortex
spice sail
#

3x+5=0
(-5)(-5)?

#

Soo I'm gonna left the 3x?

#

+5-5 = 0

#

0-5 = -5

blazing vortex
#

notice that it was a positive 5 on the left, yeah? so we have to do the opposite function, therefore, subtracting it from both sides

#

yep!

spice sail
#

Righttt

blazing vortex
spice sail
#

Ohhhhh

#

Wait so in my case

#

2x+1-1=0-1 ?

blazing vortex
#

perfect!

spice sail
#

2x=-1????

blazing vortex
#

excellent work 🙂

spice sail
#

OMG

#

Lol sorry that took time for me to understand

blazing vortex
#

no worries at all, i've done this before, i had to learn it once, too

spice sail
#

Aleightt

#

Oh

#

Alright sooo

blazing vortex
#

so now we want to get that x by itself still, yeah?

spice sail
#

Oh right

blazing vortex
spice sail
#

Wait

#

Oh ye

blazing vortex
#

but there's a 3 attached to it

spice sail
#

What am I gonna do next?

blazing vortex
#

the function that's happening between the 3 and the x is multiplication, yeah?

spice sail
#

Yea

blazing vortex
#

it's "3 times x is equal to -5"

spice sail
#

Yee

blazing vortex
#

so we need to do the "opposite" of multiplication with that 3

#

what's the reverse of multiplication?

spice sail
#

Ohh sooo that's when I start the
(-2) (-2) in my case?

#

Or still wrong?

spice sail
blazing vortex
#

yeah, still not quite right

#

naw, the reverse of multiplication is division

spice sail
#

Ohhhhh right

#

I suck at division

#

😵

blazing vortex
#

one way to get better!

spice sail
#

Let me know dkkdkdkkd

blazing vortex
#

lol, to practice

spice sail
#

Right right MMDMDKKDKDKS

#

I just kept forgotting it

#

Alright soo

#

What are we gonna do now?

#

We're gonna use division??

blazing vortex
#

yep

#

and we're trying to get move what number?

spice sail
#

2x?

#

-1*?

blazing vortex
#

are you guessing?

spice sail
#

I mean -1

blazing vortex
#

guessing isn't effort 😉

spice sail
#

😅

#

Was it the -1?

#

Like, lately we moved it right,

#

Then it becomes 2x=-1

#

Oh

#

Are we gonna move 2x?

#

To make it like 2x-1?

#

Am I still wrong?

blazing vortex
#

one sec, in a meeting

spice sail
#

Oh sorry sure sure take your time

#

I think I slowly get it

#

2x=-1 = 2x/2 = -1/2 ?

#

2x/2 = x

#

-1/2 = 1?

#

{x|x≠1}?

blazing vortex
blazing vortex
spice sail
#

Ohhhhh it's correct??

#

Aw

#

what should it be?

#

Do i divide it to 1?

blazing vortex
spice sail
#

OHHH

#

It's still 1/2

blazing vortex
#

not just 1/2

spice sail
#
  • 1/2
#

Ohhh I was wrong because of the sign????

#

Was i close??? 😁

blazing vortex
#

yep!

spice sail
#

ALRIGHT so therefore, {x|x≠-½}

blazing vortex
#

negative sign

spice sail
#

AH I FORGOT

#

FDKGDGDGDHLDDDH

#

Now for the y Intercept, g(x)= x-2/2x+1, let x = 0

Soo 0-2/2(0)+1?

blazing vortex
#

yep!

#

be right back, gotta bring some paperwork to another office

spice sail
#

Alright! OMG I'm sorry for disturbing you

#

Now for the y Intercept, g(x)= x-2/2x+1, let x = 0

Soo 0-2/2(0)+1 = 2/2+1 = 2/3?

#

Or 2/2? Or 2/4?

#

Which one is correct?

#

You seem to be busy x_x i guess this will end here

blazing vortex
#

sorry, ya, at work, this is what i do for a hobby when i'm not busy

spice sail
#

OH NO IT'S NP lol

#

SGGKGKGSSGKSSGI

blazing vortex
spice sail
#

OMG, You still tryna help me even when you're busy

#

Thank you very much!

#

This will all end here now, thank you so much really! Now i need to sleep lol it's already 12:44 am, önce again thank you!

#

And also! I hope you'll have a great day! Like always!

#

Cya!

blazing vortex
#

have a great day!

marsh citrusBOT
#

@spice sail Has your question been resolved?

marsh citrusBOT
#
Channel closed

Closed due to timeout

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#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

smoky marsh
#

can someone help me find polar form of (1+sqrt(3)i)^10

smoky marsh
#

so first we get R=2 and tan o=sqrt(3) or o = pi/3

still temple
smoky marsh
#

1024

#

wait, i got a question

still temple
#

(1024)e^(ipi/3)

smoky marsh
#

to find the angle, we say tano= sqrt(3)/1 which is sqrt(3) but how do we get pi/3 from that

smoky marsh
#

bruh im dumb as hell, gimme bread crumbs

#

im staring at the unit circle

still temple
#

what is sin(pi/3)

smoky marsh
#

sqrt(3)/2

still temple
#

not like what is but do you know how do you get that

smoky marsh
#

no I dont really remember learning that but i might be forgetting.

still temple
#

what is sinx

#

what does sinx signify

smoky marsh
#

opp/hypo

still temple
#

yes

#

i hope you know pi/3 = 60 in degrees

smoky marsh
#

yea i get that

#

but I guess my question is why is tan sqrt(3)/1 = pi/3. i know that tan is sinx/cosx but i feel like im missing something

smoky marsh
#

so is it just memorization

#

if so how do you recommend memorizing it

still temple
smoky marsh
#

thats a neat picture, just gotta burn it into my mind

still temple
#

@smoky marsh
https://www.youtube.com/watch?v=zfUs6iV455o
watch this video before it

Using some simple geometry, Pythagoras' Theorem and laws of trigonometry, we can easily derive the exact values for sine, cosine and tangent of the angles of 30˚, 45˚ and 60˚.

You may have been expected to remember values such as sin(30˚) = 1/2, sin(45˚) = √2/2, sin(60˚) = √3/2. Unfortunately, this is pretty boring stuff to try and remember.

W...

▶ Play video
still temple
smoky marsh
#

alright much thanks!

#

.close

marsh citrusBOT
#
Channel closed

Closed by @smoky marsh

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

kindred void
#

Hello, very general question that I want to confirm.

kindred void
#

Let A = the set of x where f_1(x) > c, let B = the set of x where f_2(x) > c, A - B = A interset B complement, what would thislook like?

#

ultimately im trying to get that f_1(x) > f_2(x)

#

idk if subtracting the two sets would be the way to go

sleek lake
#

how is this a general question

kindred void
#

?

sleek lake
#

it doesn't matter just, it's a regular question I was expecting something "general"

kindred void
#

sorry for the confusion then

#

i just dont know that the correct operation would be

still temple
#

$\begin{aligned}A=\left{ x,f_{1}\left( x\right) >C\right} ;B=\left{ x,f_{2}\left( x\right) >C\right} \ A-B=A\cap \overline{B}=A\backslash B\ A\cap \overline{B}=\left{ x,f_{1}\left( x\right) >C ,and, f_{2}\left( x\right) \leq C\right} \end{aligned}$

elfin berryBOT
#

Zamarus

still temple
#

So it's interesting if f1 is always >c and f2 always <=c for other cases we don't know if f1>f2

#

If the set is empty then f2>f1 so maybe it's better to consider B-A and check if it's empty for f1>f2 but it doesn't looks like a good idea in the first place

marsh citrusBOT
#

@kindred void Has your question been resolved?

marsh citrusBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

marsh citrusBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

oak bough
#

Can i have some help with this

marsh citrusBOT
deft apex
#

c looks pretty tasty to me

oak bough
#

reallu

#

why is that then

#

i would appreciate an elaboration lol

deft apex
#

so negative gradient on f(x) translates to under the graph for f'(x) to me, and it will approach the same thingy majigy

oak bough
#

okok

#

nice

deft apex
#

im unclear on it myself

#

would be good for someone else to have an input

oak bough
#

ikr

deft apex
#

red is f(x) , blue is f'(x)

lavish crescent
#

Help please 🥺🥺🥺

oak bough
#

dude

deft apex
#

you see how positive f(x) gradient means above the graph

#

right

#

also stationary points become roots

#

so

oak bough
oak bough
deft apex
#

so thats why I think C

oak bough
#

k

#

interesting

#

just reposting for someone else

#

<@&286206848099549185> can you help me please

marsh citrusBOT
#

@oak bough Has your question been resolved?

oak bough
#

<@&286206848099549185> please help me on this

marsh citrusBOT
#

@oak bough Has your question been resolved?

marsh citrusBOT
#

@oak bough Has your question been resolved?

still temple
oak bough
#

K

still temple
#

that means the asnwer has to be C or D, they are the only two graphs with negative gradients at that point

oak bough
#

Ok

#

Or D?

still temple
#

C or D

oak bough
#

K

#

But its y = -1/x so its C

#

Not D

still temple
#

at this point the slop is going up, therefore the gradient must be positive

still temple
#

i mean i dont think the graph is actually -1/x

#

but youre right that the answer is C

oak bough
#

Its similar tho

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I think

still temple
oak bough
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Yh

still temple
#

at that region its similar enough that the graident would work the same

oak bough
#

Ok

#

Can you explain the last part above the positive x axis

still temple
#

this region?

oak bough
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Yea

still temple
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the graph value is increasing, so the gradient must be positive, at the gradient is slowly getting steeper, so the gradient must be getting larger

oak bough
#

Ah ok

still temple
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As a general rule, if the graph is going down its a negative gradient and if its going up its a positive gradient, and the steeper the graph the larger the gradient would be (think rise over run)

oak bough
#

Tysm for that tip

still temple
#

all good :)

marsh citrusBOT
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median aspen
#
Event = ✅ or ❌
Outcomes = 10
Example:
✅❌❌✅✅❌✅✅✅❌ [Fail]
✅✅✅✅✅✅✅✅✅✅ [Win]

The probabilities of win are:

1/(10^2) also 1/100
or?
10/2

and i want to get it in percentage so

median aspen
#

"and i want to get it in percentage so":

%0.01
or?
%5
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@median aspen Has your question been resolved?

main idol
marsh citrusBOT
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@median aspen Has your question been resolved?

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bitter crystal
#

"A car is worth 180000 and drops by 12% each year" how would you graph this?

bitter crystal
#

Norwegian numbers so the value of the car might be bit weird to you

still temple
#

It's a linear function

bitter crystal
#

It's supposed to be an exponential

still temple
#

Oh it compounds ig

sleek lake
#

it's exponential

still temple
#

Makes sense

bitter crystal
#

Any suggestions?

still temple
#

I would think something like 180000(1-3/25)^t

#

Just graph it as any exponential decay Function with intercept at 180000 ig

bitter crystal
#

ok, thanks. Seems right!

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quiet quartz
#

How did they get this answer? did they Divide? Multiply? Subtract? add?

bleak reef
#

just isolate a

#

multiply and divide

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is what they did

molten smelt
#

yes

#

they just did basic multiplication and division to isolate a (make it the new subject)

#

@quiet quartz do you understand now?

quiet quartz
#

Like this?

quiet quartz
quiet quartz
molten smelt
#

let me see

#

remember you want to have the a on top of the fraction

bleak reef
molten smelt
#

you want a/1

bleak reef
#

you divided by sin 20 on the left side, and multipliedon the right side

#

you have to do the same thing to both sides to keep the equality

molten smelt
#

yes

#

so you'd have to divide by sin20 on both sides@quiet quartz

#

do it correct and show me

quiet quartz
#

if this is correct, then how come the answer has the denominator and numerator reversed?

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Am i wrong?

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tired ore
#

Hello, i have trouble with a geometry problem about areas, it is known that BD/CD=CE/EA, I am to prove that Area[EPDC]=Area[ABP]

tired ore
dry spindle
#

all i can really think of is you just do a lot of similarities between triangles

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then derive their area factor as k²

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then play with the areas

#

id probsbly need some paper for this

marsh citrusBOT
#

@tired ore Has your question been resolved?

tired ore
#

I cant find any similar triangles without adding new segments and that seems to make it more complicated

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fickle sable
#

How can I solve #17

marsh citrusBOT
fickle sable
#

I took the derivative and got -1, but im not sure what to do after that

still temple
#

you also have to check the endpoints because the function does not have a derivative at those points

fickle sable
#

What do you mean how do I check that

wise jackal
#

plug in -1 and 2 into the equation

#

and you'll have your abs max and min

fickle sable
#

Ok

#

Thanks

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still temple
#

Can someone help

#

@wise jackal

#

Can u help with parallelograms

wise jackal
#

you have to create your own help channel

marsh citrusBOT
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limber void
marsh citrusBOT
limber void
#

whats wrong with using n = 2k + 1 for any n integer n adding it twice

#

since an odd is usually represent by 2k + 1 for e.g.

#

why is there k n l here?

sage gale
#

you wanna show it holds for any odd integers. if you just add n to itself it doesnt necessarily hold for all odd numbers

twin girder
#

Meaning if you use the same letter, say k for both integers

#

They are the same integer

#

You can’t have say 3= 2 * k+1 and 5 = 2 * k+1

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k can’t be 1 and 2 at the same time

marsh citrusBOT
#

@limber void Has your question been resolved?

limber void
#

oh right thanks

#

how doi know when to use contra+ or contradiction in a proof q?

#

or can i use any types of proof?

marsh citrusBOT
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thick elk
#

NightHorn — Today at 22:20
Q. Sets of data are summarised by the information given. For each set of information find the standard deviation.
a) i) Σ(x - x̄)^2 = 42.9 n = 10

thick elk
#

I have no clue where to start any help is parriciated

#

.close

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solar nimbus
#

A mouse wheel is 16cm in diameter and the base of the wheel is 2cm off the ground. If the hamster spins the wheel 4 times each second, determine the cosine function that describes the movement of the wheel if it starts at lowest point

solar nimbus
#

Anyone please

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Been working on this for a week now

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Seems like no one knows the answer or how to solve it

fallen galleon
#

well

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uhhhh

marsh citrusBOT
#

@solar nimbus Has your question been resolved?

solar nimbus
#

Anyone know?