#help-13

1 messages · Page 54 of 1

digital shell
#

I don't know

lusty grotto
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shud u make 4 bigger or smaller?

digital shell
#

g(4) = 2

lusty grotto
#

do u realize g is just a function that takes in a number as input, does something to that number, and gives it as input to f, and then outputs whatever f outputs at that number?

digital shell
#

yes

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it's the scaling I don't understnad

lusty grotto
#

do u realize that when u input 4 to g, it must output what f outputs at 1?

digital shell
#

how can I figure out the horizontal scaling 4factvor

lusty grotto
#

so what must g do to the number 4, before inputting it into f, to get the same output that f outputs at 1

digital shell
#

I have no idea

lusty grotto
#

shud it make the number 4 bigger or smaller?

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before inputting it to f?

digital shell
#

I don't know

lusty grotto
#

okay if u put 4 into g, and g made the number 4 bigger and then inputs it to f

lusty grotto
digital shell
#

6

lusty grotto
lusty grotto
digital shell
#

if you put 4 into g you get 2

#

and if you input it to f you get 3

lusty grotto
#

is that clear?

digital shell
#

no I don't understand

lusty grotto
#

well i gtg

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idk how ti explain this to u lol

digital shell
#

oh okay

#

well thank you for the help

#

<@&286206848099549185> could someone help me with this problem please

cedar kilnBOT
#

@digital shell Has your question been resolved?

nimble veldt
#

$f(x) = 4\sqrt[3]{x}-2$

wraith daggerBOT
nimble veldt
#

since g(x) should be horizontally scaled is has to look like:

#

$g(x) = 4\sqrt[3]{ax}-2$

wraith daggerBOT
digital shell
#

yeah

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and it's scaled by a factor of 4?

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so a = 4

nimble veldt
#

and we know f(1) = g(4).

digital shell
#

yeah

nimble veldt
#

you need to transform 4 -> 1 to get this last equation.

digital shell
nimble veldt
#

ok, set lets try another way.

#

f(1) = g(4), right?

digital shell
#

yeah

nimble veldt
#

f(1) = 1, right?

digital shell
#

f(1) = 2

nimble veldt
#

yes, just a test for you 😉

#

so we have 2 = g(4).

digital shell
#

😄

#

yeah

nimble veldt
#

$2 = 4\sqrt[3]{ax}-2$

wraith daggerBOT
nimble veldt
#

add 2.

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$4 = 4\sqrt[3]{ax}$

wraith daggerBOT
nimble veldt
#

we have g(4), so it is:
$4 = 4\sqrt[3]{a4}$

wraith daggerBOT
digital shell
#

does that not change the vertical value?

nimble veldt
digital shell
#

when you add 2 to the equation

nimble veldt
#

no. we have g(4) = f(1) = 2 which gives us
$2 = 4\sqrt[3]{4a}-2$

wraith daggerBOT
nimble veldt
#

and now we solve this equation for a.

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do you agree?

digital shell
#

I don't understand it

nimble veldt
#

which point?

digital shell
#

how to solve for a

nimble veldt
digital shell
#

but couldn't it be 1a aswell?

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4a comes from g but they both outputs 2

nimble veldt
#

what value has a?

digital shell
#

I don't know

nimble veldt
#

so we try to calculate a.

digital shell
nimble veldt
#

again asking. do you agree with this? we have g(4) = f(1) = 2 which gives us
$2 = 4\sqrt[3]{4a}-2$

wraith daggerBOT
digital shell
#

g(4) = f(1) = 2 I understand

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but why is it 4a

nimble veldt
#

and plugin x = 4.

digital shell
#

but couldn't you plug in x = 1 for f(1)

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and get same value

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since f(1) = g(4)

nimble veldt
digital shell
#

I didn't see that

nimble veldt
digital shell
#

I don't see the correlation

nimble veldt
#

which correlation? who is talking about correlations?

digital shell
digital shell
nimble veldt
#

we know f(1) = 2, do we?

digital shell
#

yes

nimble veldt
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we know g(4) = f(1) = 2, do we?

digital shell
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yes

nimble veldt
#

we know g is horizontally scaled, do we?

digital shell
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yes

nimble veldt
#

what does horizontally scaled mean?

digital shell
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that the x value has been scaled by some factor

nimble veldt
#

$g(y) = 4\sqrt[3]{ay}-2$

wraith daggerBOT
nimble veldt
#

with the scale factor a, right?

digital shell
#

yes

nimble veldt
#

ok, g(4) = 2, right?

digital shell
#

right

nimble veldt
#

just slowly. write 4 instead of y in this equation.

digital shell
#

$g(4) = 4\sqrt[3]{4a}-2$

nimble veldt
#

we get $g(4) = 4\sqrt[3]{4a}-2$

wraith daggerBOT
#

Norahc

nimble veldt
#

ok, we have the same.

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now write 2 instead of g(4)

digital shell
#

$2 = 4\sqrt[3]{4a}-2$

wraith daggerBOT
#

Norahc

nimble veldt
#

add 2 on both sides.

digital shell
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$4 = 4\sqrt[3]{4a}$

wraith daggerBOT
#

Norahc

nimble veldt
#

divide both sides by 4.

digital shell
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$1 = \sqrt[3]{4a}$

wraith daggerBOT
#

Norahc

nimble veldt
#

power both sides by 3.

digital shell
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$1 = {4a}$

wraith daggerBOT
#

Norahc

nimble veldt
#

divide both sides by 4.

digital shell
#

a = 1/4

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so the scale factor was 1/4 all along

nimble veldt
#

you are asked for g. just plugin this a in the previous function equation.

digital shell
#

very neat method

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that gives correct answer

nimble veldt
digital shell
#

1/4

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but they are asking for g

nimble veldt
#

exactly.

digital shell
#

so from 1 -> 4 it's scale factor of 4

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so it confuses me

nimble veldt
#

ok, lets stop this. you have your g:
$g(y) = 4\sqrt[3]{\frac{y}{4}}-2$

wraith daggerBOT
digital shell
#

but is there a way to apply this method more generally?

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for other problems like this

nimble veldt
digital shell
nimble veldt
#

if you mean f(2) = g(8): calculate f(2), then use this value for g(8) and write 8 instead of y in your function equation of g.

digital shell
#

have a great rest of your day

#

.close

cedar kilnBOT
#
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lunar thunder
#

i need help on this equation

cedar kilnBOT
lunar thunder
cosmic steppe
#

Hilarious

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Absolutely hilarious

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You got me laughing

lunar thunder
#

i know

cosmic steppe
#

Would you like a gold medal for your comedy

lunar thunder
#

i was just making your day

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idk

soft owl
cosmic steppe
#

How about a <@&268886789983436800> ping

hollow nebula
cosmic steppe
#

This is like the 5th collatz Shitpost I've seen this month

hollow nebula
#

It’s true

celest seal
#

.close

cedar kilnBOT
#
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celest seal
#

please dont misuse help channels for a joke

lunar thunder
#

omg

#

is that

#

ooooo my god

cedar kilnBOT
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kindred hornet
#

can i get a hint for where to start?

cedar kilnBOT
kindred hornet
#

anyone?

cedar kilnBOT
#

@kindred hornet Has your question been resolved?

tropic oxide
#

@kindred hornet which direction is troubling you?

kindred hornet
#

should i prove that a parrelelogram with 4 equal sides has perpendicular diagonals

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even if i do that, where would i go from there

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u there?

tropic oxide
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sorry, was showering

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you are proving an if-and-only-if statement

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this means that you are to prove two implications

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  1. if a parallelogram is a rhombus, then its diagonals intersect at right angles.
  2. if a parallelogram's diagonals intersect at right angles, then it is a rhombus.
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what you described is (1)

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you will still need to have (2) to go

kindred hornet
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i see

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do you think i need a diagram for this proof

tropic oxide
cedar kilnBOT
#

@kindred hornet Has your question been resolved?

kindred hornet
#

ah ok then

cedar kilnBOT
#

@kindred hornet Has your question been resolved?

cedar kilnBOT
#

@kindred hornet Has your question been resolved?

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umbral adder
#

can someone help me figure out how to set up this equation?

cedar kilnBOT
#

@umbral adder Has your question been resolved?

flint plinth
#

and then write two equations describing the positions of the two people as a function of time

cedar kilnBOT
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vagrant spindle
cedar kilnBOT
vagrant spindle
#

how can you do f(1/3x) on an inequality?

#

i dont know how to solve

flint plinth
#

if f(x) has a domain of |x-7| <= 5, then f(x/3) has a domain of |x/3 - 7| <= 5

vagrant spindle
#

what is range tho

flint plinth
#

well the x/3 won't change the range - that's just scaling the x axis

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so focus on the -1/2 and the +8

vagrant spindle
#

ok

cedar kilnBOT
#

@vagrant spindle Has your question been resolved?

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hot kayak
#

how can I simplify
$\frac{x^{3}}{\sqrt[3]{x^2+1}}

cosmic steppe
#

how can I simplify
$$\frac{x^{3}}{\sqrt[3]{x^2+1}}$$

wraith daggerBOT
#

Umbraleviathan

cosmic steppe
#

Well what are you aiming to do

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Doesn't seem simplifyable

hot kayak
#

I want to take the integral of the function and I think I need to use partial fractions since that's the chapter that the problem is in

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$$\int{\frac{x^{3}}{\sqrt[3]{x^2+1}}}$$

cosmic steppe
#

You need dx

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Uh

hot kayak
#

$$\int{\frac{x^{3}}{\sqrt[3]{x^2+1}}dx}$$

wraith daggerBOT
cosmic steppe
#

Hm I wonder if it's elementary

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,w integrate x^3 / (x^2 + 1)^(1/3)

stable osprey
#

trig sub

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wtf

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was that

cosmic steppe
#

Yeah I guess do a trig sub of some sort

cosmic steppe
stable osprey
#

the result looked weird

cosmic steppe
#

,w integrate x^3 / (x^2 + 1)^(1/3)

wraith daggerBOT
stable osprey
#

ew

cosmic steppe
#

Yeah it looks like a result of a trig sub

cosmic steppe
#

Although symboblab did a u-sub

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Doesn't specify what they subbed in

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Oh actually

stable osprey
#

oh

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it is definitely u

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u= x2 + 1, one x cancels and the x2 left is just u -1

cosmic steppe
#

Yeah

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Leaves you to factor out a 1/2 if needed

hot kayak
#

so $$\int{\frac{u^{2}-1}{2\sqrt[3]{u}}du}$$

wraith daggerBOT
stable osprey
#

yea

#

which you can split apart and integrate easy enough

hot kayak
#

,w integrate 1/(u^(1/3))

hot kayak
#

,w (u^2) * (u^(-1/3))

hot kayak
# wraith dagger **What**

so after the u-sub I split what I replied to into 1/2 the integral of u^2 / u^(1/3) and 1/2 the integral of -1 / u^(1/3)

#

which turns into $$(\frac{3(x^2 + 1)^{11/6}}{16}) + \frac{3(x^2 + 1)^{2/3}}{4} + C$$

wraith daggerBOT
hot kayak
#

which isn't the right answer

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$$\int{\frac{u^{2}-1}{2\sqrt[3]{u}}du} = (1/2)\int{\frac{u^{2}}{\sqrt[3]{u}}du} + (-1/2)\int{\frac{1}{\sqrt[3]{u}}dx}$$

wraith daggerBOT
hot kayak
#

is this true? I must be missing something because I have the two integrals on the right side of the equality correct

hot kayak
#

should be so $$\int{\frac{u^{2}/sqrt(u-1)-u}{2\sqrt[3]{u}}du}$$

wraith daggerBOT
hot kayak
#

.close

cedar kilnBOT
#
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nova warren
#

How would I find these measurements with the info I have already written down?

warm bone
#

Have you used CAD software before?

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But anyway, like all geometrical problems, using geometry

nova warren
#

No

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I’ve not taken geometry

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I’m in 8th grade

cedar kilnBOT
#

@nova warren Has your question been resolved?

nova warren
#

help me please

#

<@&286206848099549185>

cedar kilnBOT
#

@nova warren Has your question been resolved?

nova warren
#

.close

cedar kilnBOT
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obtuse coral
#

I need help w #12, plz

cedar kilnBOT
obtuse coral
#

How r they similar?

ancient lodge
#

Consider ||shared angles||

obtuse coral
#

I need 2

ancient lodge
#

So you basically ignored what I said

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alright

obtuse coral
#

Srry, I’m just confused

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Wdym?

ancient lodge
#

'Shared angles' means angles shared between the triangles

obtuse coral
#

How are they shared?

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I know that

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I just don’t get how they’re shared

ancient lodge
#

Well you know what to look for

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It's kind of a common sense thing

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look at it again

obtuse coral
#

Ok

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It angle C congruent to itself by the reflexive property of congruence?

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Ah, that makes sense

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Could u also rq check what I did for #14? @ancient lodge

ancient lodge
#

sure

obtuse coral
#

Here it is

#

Are the congruence marks correct, as well as the similarity statement?

ancient lodge
#

,rotate

wraith daggerBOT
ancient lodge
#

Looks good to me 👍

obtuse coral
#

Even the statement?

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Bc I think the answer key has smth different

ancient lodge
#

Yes, the statement is correct \ \ And you could've also used the shared $\angle N$, though you don't have to since two angles are sufficient to prove similarity

wraith daggerBOT
#

Civil Service Pigeon

obtuse coral
#

But ig they can differ

#

Right?

ancient lodge
wraith daggerBOT
#

Civil Service Pigeon

obtuse coral
#

Got it

#

Thx for the help

ancient lodge
#

👍

obtuse coral
#

Ty @ancient lodge

#

O

#

Oh, and, here for example

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How do I know that the side that’s 12 units long corresponds with the side that’s 24 units long?

ancient lodge
#

Alternate interior angles

obtuse coral
#

Got it, ty

cedar kilnBOT
#

@obtuse coral Has your question been resolved?

cedar kilnBOT
#
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severe edge
cedar kilnBOT
severe edge
#

In the proof of this theorem

#

How do we know that anything less than N is bounded

#

Can elements of a sequence not be infinity?

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I guess that would make sense

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Because the proof clearly makes sense for the sequence elements greater than N

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But I guess I don’t get why if we can just write off the elements before N Why can’t we do the same for the elements after N

#

.close

cedar kilnBOT
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foggy berry
cedar kilnBOT
foggy berry
#

can someone help me with arithmatic and geometric sequences

tame stream
#

A or b

foggy berry
#

both

tame stream
#

Okay so for a

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What is a1

foggy berry
#

3

tame stream
#

Okay and what is d

half forge
#

an=a1+d(n-1) for arithmetic sequence

foggy berry
#

+5

#

?

tame stream
#

N-1 tells us how far away we are from n1

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When it’s 1 1-1 is 0 since we’re at n1

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N2 is 1 away from n1 so 2-1 = 1

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Since it is +5 for every n away from n1 we need to multiply n-1 by 5

foggy berry
#

An=3+(n-1)times5

tame stream
#

Yup

foggy berry
#

is that it

tame stream
#

Yes

foggy berry
#

thx

#

lets do b

half forge
#

(b) is just a25

foggy berry
#

oh easy

#

200?

tame stream
#

Can you send a clearer pic

half forge
foggy berry
tame stream
#

Still can’t read it ha

foggy berry
#

find the 25th term

tame stream
#

I meant the equation

foggy berry
#

(3+5)25=200

#

3,8,13,18...

tame stream
#

Oh

#

First you get the equation we just calculated and then plug in a25

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The 3 was not in the bracket

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It’s 3 + (25-1) * 5

foggy berry
#

ohh

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123

tame stream
#

Yeah

foggy berry
#

i think i have it

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the next question is

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12,10,8,6

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write an explicit formula

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i got An=12+(n-1)*-2

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is it -2 or 2

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...

half forge
#

Yeah your good

half forge
foggy berry
#

ok thanks

cedar kilnBOT
#

@foggy berry Has your question been resolved?

cedar kilnBOT
#
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short sierra
#

Can someone please help me understand how I can solve #49

short sierra
#

This is what I understand so far

#

Actually I don't understand a thing

buoyant latch
#

Do you know what topic this is under

short sierra
#

I can't even find a video to help me. The videos I find are doing very simple questions

#

I am trying so hard to understand what to do but I can't find a video to help me

buoyant latch
#

Fantastic this is under differentiation

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What does the derivative of a function tell you?

short sierra
#

The slope

buoyant latch
#

Of?

short sierra
#

Right?

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Of

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Idk

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Oh

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of F(x)

buoyant latch
#

The important thing is it tells you the slope of f(x) at its corresponding x value

short sierra
#

Okay so, I have x value, I sub x into f(x) to get y value

buoyant latch
#

So f’(2) tells you the slope of the tangent at x=2 for the function f(x)

short sierra
#

Then to get m I just derive

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Then I sub everything into y-y1 = m(x-x1)

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Would this be the goal?

buoyant latch
#

Yes

short sierra
#

I derive and sub in 1

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The given x value

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To get the slope I think

buoyant latch
#

By differentiating you can find the slope at the point (“where x = ???” Part of the question)

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And by subbing in that x value into f(x) you can find that point

short sierra
#

Is that all I need to do?

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I dont need to use that equation?

buoyant latch
#

Doing these 2 steps give you a slope and a point

buoyant latch
short sierra
#

Ok I am going to try and do 49, I will probably have mistakes, and it would be nice if you can tell me if something is wrong

#

Please

buoyant latch
#

Of course, send your working out through

short sierra
#

Ok thanks a lot

#

Is my f'(x) correct?

buoyant latch
#

What’s d/dx x^2

short sierra
#

2x

buoyant latch
#

Why does it say 2

#

At the end

short sierra
#

Ohh oops

#

The top seem to cancel out

#

So would f'(x) = 0

#

The slope = 0?

#

Oh I made a mistake

#

Should be 2x^2(e^(2x))

buoyant latch
short sierra
#

Im gonna try to derive it again

buoyant latch
#

What happened to the square

#

Oh

#

You fixed it

short sierra
#

Yeah mb

buoyant latch
#

Yeah

#

Now it doesn’t cancel out

short sierra
#

Yeah

buoyant latch
#

Now look at x=1

#

Find the slope of F(x) at x=1

#

It also passes through the point (x, F(x))

short sierra
#

I sub in x=1 into f'(x) now

buoyant latch
#

Yes

short sierra
#

I simplified the f'(x)

#

So im trying again

#

My final answer

#

According to the textbook this is the correct answer. I just want to make sure I did not skip any steps or break any rules

cedar kilnBOT
#

@short sierra Has your question been resolved?

#
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grave turret
#

idk how to do this question can someone pls help

short blade
#

what's giving you trouble with the question?

grave turret
#

i dont understnad how to find the domain and range

gilded elm
#

first thing: do you know what a domain and range is

grave turret
#

yes domain is like the x value and range is like the y value of the function isnt it

half forge
#

The domain of f^-1 is the range of f, and the other way around for the range of f^-1, because f and f^-1 are y=x symmetry

grave turret
#

ok so i have to find the domain and range of f(x) to solver this?

#

ok thanks

#

and question b what does it mean find an expression for f-1(x)

#

is it just to find out what f-1(x) is?

gilded elm
#

yep

grave turret
#

ok thank you guys!

#

so isnt the range just y>= -2

cedar kilnBOT
#

@grave turret Has your question been resolved?

#
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spark perch
#

Which is the expanded form of (x + 1)3?

cedar kilnBOT
winged bay
#

you mean (x+1)^3?

spark perch
#

yes

winged bay
#

expand to (x+1)(x+1)(x+1), then distribute
if you are learning binomial theorem, then use it

spark perch
#

got it

#

will the answer be x3 + ?

winged bay
#

there is x^3

#

yes

latent bloom
#

@spark perch please stick here

#

Till you finish

cedar kilnBOT
#

@spark perch Has your question been resolved?

latent bloom
cedar kilnBOT
#
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short sierra
#

How can I do part b for this question?

cedar kilnBOT
short sierra
#

How do I get actual sales

#

I did part a

#

.close

cedar kilnBOT
#
Channel closed

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plucky carbon
cedar kilnBOT
plucky carbon
#

How can this be simplified?

runic garnet
#

Try doing a substitution, let k=arcsin(x), then try using a double angle identity to solve

#

Hint: u want a double angle identity that’s entirely in terms of sin

#

(To get rid of the arcsin)

cedar kilnBOT
#

@plucky carbon Has your question been resolved?

plucky carbon
#

@runic garnet does this look right? (1 sec pic uploading)

runic garnet
#

Yea that looks good

plucky carbon
#

Ok, thanks

#

.close

cedar kilnBOT
#
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tame blade
#

I Need help in maths

cedar kilnBOT
flint plinth
#

which question?

tame blade
#

?

#

Oh

crimson sedge
#

all of them

tame blade
#

I just don’t know how to do it

#

Can mayo leave,

tame blade
#

@flint plinth

flint plinth
#

i'll let @crimson sedge take over, obviously he's itching to solve these

crimson sedge
#

NO

tame blade
#

I smell a troller!

#

Please help

#

I don’t want mayo

#

Mayo is bad at maths

#

I Need Bingo

#

.clothesfirst

crimson sedge
#

idiot

#

.close

tame blade
#

.close

cedar kilnBOT
#
Channel closed

Closed by @tame blade

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#
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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>.
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quiet iris
#

hey

cedar kilnBOT
quiet iris
#

I need help with this

#

i dont understand what im supposed to do at all

clear berry
#

,rotate

wraith daggerBOT
clear berry
quiet iris
#

how do i do that

clear berry
#

In other words create a question that when solved ends with x=2

quiet iris
#

can you give me a question?

#

im so lost

clear berry
#

Shouldn't be hard, just add/subtract and divide/multiply some stuff from both sides. For example

#

x = 2, (add 3 both sides), x + 3 = 5 (divide both sides by say 5) then (x + 3)/5 = 1

quiet iris
#

mk so

clear berry
#

Then solve it by reversing the steps and you'll be able to get x=2

quiet iris
#

x = 2, x + 3 = 5, (x + 3)/5=1

clear berry
#

You can make it more complex by adding some x-terms also but this should suffice

quiet iris
#

im sorry math isnt my strong suit ☠️

solar vector
#

You should try to come up with your own similar answer to numbpy's answer.

quiet iris
#

so

#

do i just

#

reverse it

#

like

clear berry
#

Just solve it normally

quiet iris
#

2 + 5 / 4 - 9 x 6

clear berry
#

Also, I'd suggest you make your own question to get a better idea of what's hapenning

quiet iris
#

then reverse all operations

#

mk

clear berry
quiet iris
#

ill do it then show u

quiet iris
clear berry
#

How is this an equation when there's no equal "="

quiet iris
#

oop.

#

Wait

#

ok

#

nope

#

i am lost

#

💀 rip

clear berry
#

okay, lemme guide you

#

write down x=2

#

add or subtract some number from both sides

#

Then divide or multiply some non-zero number from both sides

#

Ta-da you have an equation

quiet iris
#

Mk

#

Does this work?

clear berry
#

I don't think that evaluates to 2

quiet iris
#

It does

#

Wait

#

Does it

clear berry
#

I tried it in the calculator and it gives 36.4

quiet iris
#

Oh

#

HMM

#

the slash is a device

#

Divide

clear berry
#

I mean 5 divides neither 3 nor 5 so it will give a decimal number

quiet iris
#

So basically

#

= 55

#

Divide by

#

5

#

= 11

#

Subtract 1

#

9*

#

= 2

clear berry
#

ah, you misplaced the brackets then

quiet iris
#

Did I?

clear berry
#

It should be (- 9 x 4 + 7 - ( - 3 x 4))/5 - 9

quiet iris
#

Oh

#

Fr?

#

So can I use this then solve it?

#

Like is it rdy to solve?

clear berry
#

Yes after you correct the placement of bracket

quiet iris
#

So copy and paste what u sent?

#

(- 9 x 4 + 7 - ( - 3 x 4))/5 - 9

#

Correct?

#

Bottom one

clear berry
#

Shouldn't it be 9 not -9?

quiet iris
#

Idk

#

I’ll change it

#

Ye u right

#

So how do I solve it now

clear berry
#

Just solve it normally

quiet iris
#

What I do first

clear berry
#

Use the pemdas rule

quiet iris
#

Okok

clear berry
#

but evaluate the brackets first

quiet iris
clear berry
#

You were supposed to do the innermost bracket first

quiet iris
#

oo

#

okok

clear berry
#

As in, (-3 x 4)

quiet iris
#

Like this?

#

Wait no

clear berry
#

Just a small error, you perform all multiplications first

quiet iris
#

Then I do the 43 - (-12)

#

Oh

#

So what I do

clear berry
quiet iris
#

In the second stage?

clear berry
#

yeah or you can add more stages

quiet iris
#

I’ll slide it in the middle of the both

clear berry
#

Like -> (36 + 7 - (-12))/5 - 9, then (36 + 7 + 12)/5 - 9

quiet iris
#

So how come the 12 becomes positive

#

Oh wait

#

( - ,- ) = +

clear berry
#

yep

quiet iris
#

Okok

#

Then I do

#

All the adding?

clear berry
quiet iris
#

Wym

clear berry
#

you wrote 12 in third step

quiet iris
#

Yeah

clear berry
#

Then again wrote -(-12) in forth step

quiet iris
#

Do I jus add them

#

Oh

clear berry
#

yep

quiet iris
#

That has been there

#

Ok

#

???

clear berry
#

yep

quiet iris
#

Then I do

#

Five and nine part?

clear berry
#

yes, five part first

quiet iris
#

Good?

#

Do I drop the brackets?

clear berry
#

After you're done evaluating the bracket, the bracket is automatically removed

quiet iris
#

Ohhh

#

Ok

clear berry
#

So, in the previous step itself you'd have 55/9 instead of (55)/9

quiet iris
#

??

clear berry
#

correct, maybe finally write x=2

quiet iris
#

Okok

clear berry
#

I meant writing x=2 after 2=x but it's good anyway

quiet iris
#

Ohhh

#

Mb mb

#

Do you have time helping me with two other ones?

clear berry
quiet iris
#

okok

clear berry
#

That's a rectangle right?

quiet iris
#

And dos

quiet iris
clear berry
quiet iris
#

Mk

clear berry
#

What's the area of rectangle

quiet iris
#

120 cm2

clear berry
#

no, no as in what's the formula for area of a rectangle?

quiet iris
#

L x W??

clear berry
#

L, W?

quiet iris
#

Ya

clear berry
#

what is L, what is W?

quiet iris
#

Length

#

W is width

clear berry
#

yeah so write is properly

quiet iris
#

Ok

#

I understand

clear berry
#

area = length x width

quiet iris
#

Okay

clear berry
#

now, what's the length and the width?

quiet iris
#

6pength

#

Length

#

4x + 8 width

clear berry
#

alright, so the area would be ?

#

(use the formula)

quiet iris
#

120 cm2

#

Oh

#

6 x (4x +8) = 120 cm

#

Right?

clear berry
#

yes, solve it

quiet iris
#

How

#

Sorry

#

do i go

#

6 x 20?

clear berry
#

You don't know how to solve linear equation?

quiet iris
#

no..

#

well maybe

#

but i forgot how i think

clear berry
#

hmm... you have to isolate the x

quiet iris
#

how do i do that

clear berry
#

first thing you do is remove anything outside

#

So, there's a 6 as product

#

to remove it you do reverse of product, ie divide

#

So, divide both sides by 6

quiet iris
#

Ok

#

So 6/6

#

wait

clear berry
#

WOT?

#

At least write the equation properly

quiet iris
#

How do I do so

clear berry
quiet iris
#

Ohh

clear berry
#

yeah, now you have 6(4x + 8) = 120

quiet iris
#

Ok

#

I understand

clear berry
#

Now, you start removing the outermost layer

#

which is 6

quiet iris
#

Hmm

#

Ok

clear berry
#

6 is multiplied by (4x + 8)

quiet iris
#

Mhm

clear berry
#

so, to remove it you divide by 6 on both sides

quiet iris
#

Ok

#

How do I write it?

clear berry
#

you know that 6/6 is 1, so you can directly omit the 6 on lhs

#

On rhs write 120/6

quiet iris
#

ohh

clear berry
#

I hope you remember how to perform 120/6

quiet iris
quiet iris
clear berry
#

Just write it normally

#

6 x (4x + 8) = 120

#

4x + 8 = 120/6 = 20

quiet iris
#

I okay

clear berry
quiet iris
#

How do I subtract 8 from the first side

clear berry
#

you have 4x + 8 = 20 right

quiet iris
#

Yes.

clear berry
#

subtract 8 from both the sides

#

4x + 8 - 8 = 20 - 8

quiet iris
#

OHHH OK

#

then do I get

clear berry
clear berry
quiet iris
#

I did

#

😂😂😂.

clear berry
#

How might you do that?

quiet iris
#

Umm

#

12 -4x??

clear berry
#

4 is multiplied to x

#

How would you reverse that?

quiet iris
#

Division?

clear berry
#

yes

quiet iris
#

4x / 12v

#

?

clear berry
#

no, you have to remove 4

#

So, you divide both sides by 4

#

on the lhs the 4/4 would cancel

quiet iris
#

4 / x

clear berry
#

on the rhs you'd get ___

quiet iris
#

Okok

#

So it’s jus x

#

On the left side

clear berry
#

yep

quiet iris
#

3?

clear berry
#

yess

quiet iris
#

YES FINALL

#

Y

#

now the last one

clear berry
# quiet iris

This is also a linear equation that shouldn't be too hard to solve

quiet iris
#

Yeah

clear berry
#

We already know that x=-4, so replace x with -4

#

ofc, write the equation first

quiet iris
clear berry
#

write the question first

quiet iris
#

LMAO

clear berry
#

then that

quiet iris
#

I HAD IT WRITTEN

#

THEN I CHANGED IT

#

I SWEAR

#

Good?

clear berry
#

almost, the x was in multiplication with 9

#

So, it should be 9(-4)

quiet iris
#

Wym

#

OH

clear berry
#

by mistake did you miss the - sign before 18?

quiet iris
#

Yes

#

I was jus looking

#

And was like

#

What sense does this make

#

I’m changed it

clear berry
#

then perform the bracket

#

remember that number next to bracket means that they are multiplied

quiet iris
clear berry
#

take note of the - sign

quiet iris
#

Wait

#

NEGATIVE

#

36

clear berry
#

yuep

#

not -36

quiet iris
clear berry
#

just write 36

quiet iris
#

?

clear berry
#

-(-36) is the same as (-1) x (-36) = 36

quiet iris
#

So what do I write

clear berry
#

write + 36

#

like just 36

quiet iris
#

How did we get that tho

#

I thought it was gonna be negative

#

Cause neg and pos equal nrg

#

Neg

clear berry
#

I'd be 3y + 36 - 18 = 0

quiet iris
#

Ya I wrote it

#

OHHH

#

I GET IT

clear berry
#

yeah, I think you should be fine noe

quiet iris
#

It’s answered?

clear berry
#

Just get the value of y

quiet iris
#

Good?

#

So far

clear berry
#

WHY DID YOU AGAIN WRITE -36

quiet iris
#

WYM?

clear berry
#

Look at the 3rd line you've written

quiet iris
#

Yea??

clear berry
#

It should be 3y + 36 - 18 = 0

#

$3y + 36 - 18 = 0$

wraith daggerBOT
#

numbpy

quiet iris
#

OH

clear berry
#

You need to pay attention smh

quiet iris
#

I’m sorry it was overwhelming

#

I understand now

#

For sure

#

I think..

clear berry
#

3y + 6 = 0

#

not 3y = 6 = 0

quiet iris
#

Ohh

#

What’s next step

clear berry
quiet iris
#

That gives me

#

-6 on rhs

#

And -3y on lhs?

clear berry
#

how'd you get -3y?

quiet iris
#

3-6

clear berry
#

why did you do that?

quiet iris
#

Idk

#

What was I supposed to do

clear berry
#

3y + 6 = 0. So, 3y + 6 - 6 = 0 - 6 = -6

#

So, 3y = -6

quiet iris
#

OH

#

I think I did it cause u said subtract it from both sides

clear berry
quiet iris
#

I mis understood

#

So is it correct?

clear berry
quiet iris
quiet iris
clear berry
#

Yeaaah, you're meat to completely isolate y

#

SO, on lhs it should be ONLY y

quiet iris
#

Oh

#

Okok

#

?

clear berry
#

Nah, how do still not understand

#

You can't just remove 3 directly on only one side

#

You HAVE TO DIVIDE both sides by 3

quiet iris
#

LOL

#

DIDNT I DO THAT ALR?

clear berry
#

Wait a damn minute

quiet iris
#

💀

#

oh no.

clear berry
#

how did you go from 3y + 18 = 0 to 3y +6 = 0sully

quiet iris
#

DEVDE

#

DIVIDE

clear berry
#

by what?

quiet iris
#

3

#

💀

clear berry
#

Then why didn't you also divide the 3 in 3y

quiet iris
#

oh.

clear berry
#

The division happens everywhere

quiet iris
#

good?

clear berry
#

$3y + 18 = 0 \implies \frac{3y + 18}{3} = \frac03 = \frac{3y}{3} + \frac{18}{3} = 0$

wraith daggerBOT
#

numbpy

clear berry
quiet iris
#

yessssss

#

tysm for helping me understand

clear berry
#

Then finally y = -6

#

DONE

quiet iris
#

can I dm you if i ever hit a roadblock w my homework again?

quiet iris
clear berry
#

Yeah, we all are here to help but you'll really need to work more

quiet iris
#

I know

#

sadly

clear berry
quiet iris
#

yea

clear berry
#

So, subtract 6 from both sides

#

y + 6 - 6 = 0 - 6

#

what would you get

quiet iris
#

-6

#

OHH

#

WTFG

#

WWTF

#

OHH

#

OK

#

I GET IT NOW

#

OKKK

#

TY

#

that was awfully horrid learnign experience for u

#

mb

clear berry
#

happens

#

I'd suggest you to look at more worked out examples

quiet iris
#

Okay.

clear berry
#

And see what exactly is happening

quiet iris
#

yeah

clear berry
#

Like why does each step happen etc.

quiet iris
#

yeaa

#

I agree

clear berry
#

alright then

quiet iris
#

bye bye

clear berry
#

.close to close it

#

.close

cedar kilnBOT
#
Channel closed

Closed by @clear berry

Use .reopen if this was a mistake.

cedar kilnBOT
#
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Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
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• 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.

steel mural
#

hey if there is no p outside an event is the question just asking for the sample space

steel mural
#

for eg

cedar kilnBOT
#

@steel mural Has your question been resolved?

digital cliff
#

I think i would need more context on where it is being used, If this is for a venn diagram then its just the sample space yeah (all natural and integer values)

steel mural
#

k thx

#

.close

cedar kilnBOT
#
Channel closed

Closed by @steel mural

Use .reopen if this was a mistake.

#
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After 15 minutes, feel free to ping <@&286206848099549185>.
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• Be polite and have a nice day!

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waxen crater
cedar kilnBOT
waxen crater
#

I was given this example by my teacher but I think I copied sth wrong

frosty ocean
#

,w 6x^2-13x+6

wraith daggerBOT