#help-13 | Mathematics | Page 447

rustic ridge Dec 17, 2021, 2:07 PM

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sigh

cedar kilnBOT Dec 17, 2021, 2:07 PM

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rustic ridge sigh

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@rustic ridge Has your question been resolved?

cedar kilnBOT Dec 17, 2021, 2:37 PM

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lean sail Dec 17, 2021, 8:35 PM

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cedar kilnBOT Dec 17, 2021, 8:35 PM

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lean sail

lean sail Dec 17, 2021, 8:45 PM

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<@&286206848099549185>

cedar kilnBOT Dec 17, 2021, 9:00 PM

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@lean sail Has your question been resolved?

faint dirge Dec 17, 2021, 9:01 PM

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ok so, you have a right triangle

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you want to find the rate of change of the hypotenuse

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one leg is the vertical distance between the radar and the bird (5km)

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the other leg is the horizontal distance between the radar and the bird. After 1/6th of an hour, that's 7km

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$x^2+y^2=z^2$

wraith daggerBOT Dec 17, 2021, 9:02 PM

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Scythe

faint dirge Dec 17, 2021, 9:03 PM

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x is the horizontal, y is the vertical, z is the hypotenuse/distance from radar to bird

lean sail Dec 17, 2021, 9:03 PM

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oh

faint dirge Dec 17, 2021, 9:03 PM

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with me so far?

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we don't want a distance, we want a rate

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so we differentiate this!

lean sail Dec 17, 2021, 9:03 PM

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im writing it down

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yes

faint dirge Dec 17, 2021, 9:03 PM

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$2xdx+2ydy=2zdz$

wraith daggerBOT Dec 17, 2021, 9:03 PM

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Scythe

faint dirge Dec 17, 2021, 9:03 PM

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this is still unhelpful, we don't want a change in distance, we want a change in distance over time. so divide by dt (and divide by 2)

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$x\frac{dx}{dt}+y\frac{dy}{dt}=z\frac{z}{dt}$

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ok so, now we have 6 variables

wraith daggerBOT Dec 17, 2021, 9:04 PM

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Scythe

lean sail Dec 17, 2021, 9:04 PM

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oh

faint dirge Dec 17, 2021, 9:04 PM

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we know x: it's 7km after 1/6th of an hour /10mins.

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we know dx/dt: it's 42km/hr

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we know y: it's 5km

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we know dy/dt: it's 0km/hr (constant)

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we know z: it's the hypotenuse of a triangle with sides 5km and 7km (so sqrt74 km)

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$742+50=\sqrt{74}\frac{dz}{dt}$

wraith daggerBOT Dec 17, 2021, 9:06 PM

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Scythe

faint dirge Dec 17, 2021, 9:06 PM

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34.1768 km/hr

faint dirge Dec 17, 2021, 9:07 PM

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wraith dagger **Scythe**

should be dz/dt at the end fyi not z/dt

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got it?

lean sail Dec 17, 2021, 9:08 PM

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thank u so much

faint dirge Dec 17, 2021, 9:10 PM

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glad I could help

lean sail Dec 17, 2021, 9:11 PM

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faint dirge 34.1768 km/hr

thjis is the final answer right

faint dirge Dec 17, 2021, 9:12 PM

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I believe so

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I might've read your question incorrectly so

lean sail Dec 17, 2021, 9:12 PM

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how do I do b

faint dirge Dec 17, 2021, 9:12 PM

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since you sent the image sideways

lean sail Dec 17, 2021, 9:12 PM

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faint dirge since you sent the image sideways

issok i think ur right

faint dirge Dec 17, 2021, 9:13 PM

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well you do the same thing

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you get 0*42+5*0=5*dz/dt, thus dz/dt = 0

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since it's directly over for that moment its rate of change of distance is going from negative to positive, as it approaches and then leaves

cedar kilnBOT Dec 17, 2021, 9:15 PM

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cedar kilnBOT Dec 18, 2021, 9:16 AM

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craggy pagoda Dec 18, 2021, 11:33 AM

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Im having an issue with a statistics question. I dont know how to attempt it

cedar kilnBOT Dec 18, 2021, 11:33 AM

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craggy pagoda Im having an issue with a statistics question. I dont know how to attempt it

lethal edge Dec 18, 2021, 11:34 AM

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what is the question exactly?

craggy pagoda Dec 18, 2021, 11:34 AM

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its this

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Im not sure how to do the square regression line

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<@&286206848099549185> hi can someone please assist me with this question? :))

cedar kilnBOT Dec 18, 2021, 12:04 PM

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@craggy pagoda Has your question been resolved?

cedar kilnBOT Dec 18, 2021, 12:34 PM

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@craggy pagoda Has your question been resolved?

cedar kilnBOT Dec 18, 2021, 1:57 PM

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@craggy pagoda Has your question been resolved?

cedar kilnBOT Dec 18, 2021, 4:22 PM

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@craggy pagoda Has your question been resolved?

cedar kilnBOT Dec 18, 2021, 6:22 PM

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cedar kilnBOT Dec 19, 2021, 6:47 AM

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oblique lynx Dec 19, 2021, 6:59 AM

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@smoky grove Sorry for ping, Ive had to use another channel but this is where it came from

cedar kilnBOT Dec 19, 2021, 6:59 AM

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oblique lynx <@921256105349378128> Sorry for ping, Ive had to use another channel but this is...

oblique lynx Dec 19, 2021, 7:00 AM

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this is from my theses and its a trigonometric series

cedar kilnBOT Dec 19, 2021, 7:15 AM

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@oblique lynx Has your question been resolved?

cedar kilnBOT Dec 19, 2021, 7:45 AM

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@oblique lynx Has your question been resolved?

cedar kilnBOT Dec 19, 2021, 8:59 AM

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@oblique lynx Has your question been resolved?

oblique lynx Dec 19, 2021, 9:00 AM

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btw the question is what does the R(C) means

cedar kilnBOT Dec 19, 2021, 11:00 AM

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@oblique lynx Has your question been resolved?

cedar kilnBOT Dec 19, 2021, 1:00 PM

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crimson sedge Dec 19, 2021, 1:02 PM

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cedar kilnBOT Dec 19, 2021, 1:02 PM

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crimson sedge

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@crimson sedge Has your question been resolved?

cedar kilnBOT Dec 19, 2021, 1:32 PM

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tough nacelle Dec 19, 2021, 2:41 PM

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Can anyone help please?

cedar kilnBOT Dec 19, 2021, 2:41 PM

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tough nacelle Can anyone help please?

tough nacelle Dec 19, 2021, 2:46 PM

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i think its antiderivatives

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but im not sure how to do it

cinder garnet Dec 19, 2021, 2:47 PM

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tough nacelle Can anyone help please?

v(t) =t²/2 -8t +c
As v(0)=3 at t=0 therefore c=3
v(t) =t²/2 -8t +3
S(t)=t³/6 -8t²/2 +3t +c
At t=0 ,s(0)=5. c=5

Therefore s(t) =t³/6 -4t²+3t+5

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Just keep integrating with taking c into consideration

tough nacelle Dec 19, 2021, 2:47 PM

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how’d you figure that out😲

cinder garnet Dec 19, 2021, 2:48 PM

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tough nacelle how’d you figure that out😲

There was a reason why v(0) and s(0) was give that's how

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(B) part is same keep integrating keeping c in consideration

tough nacelle Dec 19, 2021, 2:49 PM

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ohh i see. Can i ask how you got t^2/2

tough nacelle Dec 19, 2021, 2:49 PM

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cinder garnet (B) part is same keep integrating keeping c in consideration

oh i see

cinder garnet Dec 19, 2021, 2:49 PM

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tough nacelle ohh i see. Can i ask how you got t^2/2

Integration of t is t²/2

tough nacelle Dec 19, 2021, 2:49 PM

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oh ur rught

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right

cinder garnet Dec 19, 2021, 2:49 PM

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You may also say it as anti derivative

tough nacelle Dec 19, 2021, 2:49 PM

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yep

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when u integrate 8, it becomes 8t?

cinder garnet Dec 19, 2021, 2:50 PM

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Yep

tough nacelle Dec 19, 2021, 2:51 PM

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ok!

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i understand!! thank u so much!

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Could u help with B in 5 min? ill write A out really quickly

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but it should be the same right

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except its just cos(x)

cinder garnet Dec 19, 2021, 2:55 PM

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Ye

tough nacelle Dec 19, 2021, 2:56 PM

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finished it this should look good

cinder garnet Dec 19, 2021, 2:56 PM

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Yep

tough nacelle Dec 19, 2021, 2:56 PM

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should i write any integral sign tho?

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or antiderivative

cinder garnet Dec 19, 2021, 2:56 PM

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You should

tough nacelle Dec 19, 2021, 2:56 PM

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how would it look?

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i know the integral sign but idk what’d be the top and bottom number

cinder garnet Dec 19, 2021, 2:57 PM

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Just in case your teacher give marks on formulas you should

tough nacelle Dec 19, 2021, 2:57 PM

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0 for both?

cinder garnet Dec 19, 2021, 2:57 PM

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What

tough nacelle Dec 19, 2021, 2:57 PM

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ill show toy

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you

cinder garnet Dec 19, 2021, 2:58 PM

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Kk

tough nacelle Dec 19, 2021, 3:02 PM

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this better?

cinder garnet Dec 19, 2021, 3:02 PM

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Yep

tough nacelle Dec 19, 2021, 3:02 PM

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cool!

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so then for b. I start eith cos(x)

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this is the first one how does it look @cinder garnet

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then i do the others?

cinder garnet Dec 19, 2021, 3:07 PM

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F''(x)=sinx+c
F''(0)=sin0 +c=a
c=a

F''(x)=sinx +a
F'(x)=-cosx+ax+c
F'(0)=-cos(0)+c=b
F'(0)=c=b+1

F'(x)= -cosx+ax+b+1
F(x)=-sinx+ax²/2+bx+x+c
F(0)=0+c=f

F(x)=-sinx+ax²/2+bx+x+c

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Check yourself I gotta go bye

tough nacelle Dec 19, 2021, 3:07 PM

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ohhh did i go backwards

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gotcha

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@cinder garnet thank u so much!!!

cedar kilnBOT Dec 19, 2021, 3:23 PM

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@tough nacelle Has your question been resolved?

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wintry wasp Dec 19, 2021, 3:28 PM

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Is there a difference between multivariable functions and parametric curves? If so, what is it?

cedar kilnBOT Dec 19, 2021, 3:28 PM

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wintry wasp Is there a difference between multivariable functions and parametric curves? If ...

calm sierra Dec 19, 2021, 3:33 PM

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wintry wasp Is there a difference between multivariable functions and parametric curves? If ...

parametric curves express coordinates as functions of 1 variable, x(t), y(t), etc. multivariable functions have multiple variable inputs eg f(x,y)

cedar kilnBOT Dec 19, 2021, 3:43 PM

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@wintry wasp Has your question been resolved?

cedar kilnBOT Dec 19, 2021, 3:58 PM

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crisp jay Dec 19, 2021, 4:03 PM

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how does one go about proving:\ $2k^2 > (k+1)^2 \ \forall \ k\geq 3$ \ Context: this was a proof by induction question but i've got to here

cedar kilnBOT Dec 19, 2021, 4:03 PM

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crisp jay how does one go about proving:\\ $2k^2 > (k+1)^2 \ \forall \ k\geq 3$ \\ Context...

wraith daggerBOT Dec 19, 2021, 4:04 PM

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i laik turtles

crisp jay Dec 19, 2021, 4:04 PM

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only use the lhs

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i know it might be something to do with writing lhs as
k^2 + k^2 then changing one of the k's to 2 or 1 so that you can write another inequality expression

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but its not working

cedar kilnBOT Dec 19, 2021, 4:20 PM

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@crisp jay Has your question been resolved?

dense wing Dec 19, 2021, 4:52 PM

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You have all k, not all integers k

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Also you don't even need induction

cedar kilnBOT Dec 19, 2021, 5:11 PM

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@crisp jay Has your question been resolved?

crisp jay Dec 19, 2021, 5:31 PM

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dense wing You have all k, not all integers k

sorry, i forgot to mention all k's are integers.
and it was an induction question, initially being 2^(n+1) > n^2, for n≥3

crisp jay Dec 19, 2021, 6:24 PM

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.close

cedar kilnBOT Dec 19, 2021, 6:24 PM

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crimson sedge Dec 19, 2021, 6:36 PM

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hi i was wondering how i should go about to solve this following question: determine the derivative function to the function f. this is my first question of this type and im completely lost

cedar kilnBOT Dec 19, 2021, 6:36 PM

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crimson sedge hi i was wondering how i should go about to solve this following question: deter...

floral thistle Dec 19, 2021, 6:37 PM

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i assume you’re using the limit definition of the derivative?

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wait

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i don’t think you can do this using the limit definition

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since it’s a fractional power

crimson sedge Dec 19, 2021, 6:38 PM

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sorry if my english is off, but yes i am if that is the step i do since the exponent isnt an even number i need to find x>0. but now that the equasion it self isnt even im a bit lost

floral thistle Dec 19, 2021, 6:39 PM

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this is what i mean by the limit definition

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$\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$

wraith daggerBOT Dec 19, 2021, 6:40 PM

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quantum

floral thistle Dec 19, 2021, 6:40 PM

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are you supposed to use this?

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or use derivative rules

crimson sedge Dec 19, 2021, 6:40 PM

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no i can send you an example of a previous question

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sorry if its a bit unclear but it should be clear to understand the point of it . in the book it tells me i need to solve the question in this style.

floral thistle Dec 19, 2021, 6:42 PM

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so you need to use derivative rules

crimson sedge Dec 19, 2021, 6:42 PM

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yes

floral thistle Dec 19, 2021, 6:42 PM

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well you can pull out the constant

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and multiply that back in afterwards

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$\dv{x}x^n = nx^{n-1}$

wraith daggerBOT Dec 19, 2021, 6:43 PM

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quantum

crimson sedge Dec 19, 2021, 6:43 PM

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okay thank you

floral thistle Dec 19, 2021, 6:44 PM

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if you’re done, do .close

crimson sedge Dec 19, 2021, 6:44 PM

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.close

cedar kilnBOT Dec 19, 2021, 6:44 PM

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misty sedge Dec 19, 2021, 7:10 PM

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cedar kilnBOT Dec 19, 2021, 7:10 PM

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misty sedge

misty sedge Dec 19, 2021, 7:16 PM

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currently working it through again. I have expanded and removed the parentheses

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rn I have sin^2(t)=10/23

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to remove ^2 I squared both sides?

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so now I have sin(t)= +/- rad10/23

dense wing Dec 19, 2021, 7:30 PM

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That would make 4th powers

misty sedge Dec 19, 2021, 7:30 PM

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sry I mean square root

cedar kilnBOT Dec 19, 2021, 7:45 PM

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@misty sedge Has your question been resolved?

bright river Dec 19, 2021, 7:46 PM

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misty sedge so now I have sin(t)= +/- rad10/23

So you have $\sin(t) = \pm \sqrt{\frac{10}{23}}$ right ?

wraith daggerBOT Dec 19, 2021, 7:46 PM

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Twentycents

misty sedge Dec 19, 2021, 7:46 PM

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yesm

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not sure where to go from here

bright river Dec 19, 2021, 7:47 PM

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Well there is no "simple" answer besides the one that uses arcsinus function

misty sedge Dec 19, 2021, 7:48 PM

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like this
theta=arcsin rad10/23 ?

bright river Dec 19, 2021, 7:49 PM

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Yep

misty sedge Dec 19, 2021, 7:49 PM

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ok simple enough, so I got 41.3

bright river Dec 19, 2021, 7:49 PM

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The other solution being not of interest here since t>0

bright river Dec 19, 2021, 7:50 PM

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misty sedge ok simple enough, so I got 41.3

Then I guess you can enter that number 👍

misty sedge Dec 19, 2021, 7:50 PM

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Okay let me try, I think I already have and it was rejected

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nope got it wrong, I have to include 41.3, 138.7, 221.3, 318.7 etc

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ugh, I fucking hate this prof

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thanks for your help

bright river Dec 19, 2021, 7:53 PM

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Oooh ok

misty sedge Dec 19, 2021, 7:53 PM

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in other problems, he'll use the same exact working but we get it wrong if we dont put it like this "41.3deg+360degk" etc

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he fucks us

bright river Dec 19, 2021, 7:53 PM

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Yeah I guess that would be from that step $\sin(t) = \pm \sqrt{\frac{10}{23}}$ to the next step

misty sedge Dec 19, 2021, 7:53 PM

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literally no diff in the wording

wraith daggerBOT Dec 19, 2021, 7:53 PM

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Twentycents

bright river Dec 19, 2021, 7:54 PM

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You should have included those 360degk indeed
My bad I haven't read the beginning of the question (he asked for solution_s_)

misty sedge Dec 19, 2021, 7:55 PM

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oh np, not your fault at all. He's the worst prof I've ever had

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appreciate the help

bright river Dec 19, 2021, 7:56 PM

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Yeah 😅 well next time you'll think about those details 👍

misty sedge Dec 19, 2021, 8:13 PM

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I did. I even solved it correctly with all the angles before I even posted here. His terrible attention to detail and lack of english is the problem.

cedar kilnBOT Dec 19, 2021, 8:43 PM

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@misty sedge Has your question been resolved?

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bronze swan Dec 19, 2021, 9:18 PM

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I'm stuck at the first part

cedar kilnBOT Dec 19, 2021, 9:18 PM

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bronze swan I'm stuck at the first part

bronze swan Dec 19, 2021, 9:18 PM

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slow shuttle Dec 19, 2021, 9:18 PM

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bronze swan Dec 19, 2021, 9:18 PM

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@slow shuttle channel occupied

upper abyss Dec 19, 2021, 9:19 PM

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Any thoughts on the question so far?

bronze swan Dec 19, 2021, 9:19 PM

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bronze swan

I can reduce the formula to

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But don't know how to proceed further

slow shuttle Dec 19, 2021, 9:20 PM

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Not yet

upper abyss Dec 19, 2021, 9:21 PM

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That doesn't make any sense, it needs parenthesis

bronze swan Dec 19, 2021, 9:21 PM

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upper abyss That doesn't make any sense, it needs parenthesis

AND has greater precedence than OR, no?

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the braces are implied

upper abyss Dec 19, 2021, 9:24 PM

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If that is the case, then you are done

bronze swan Dec 19, 2021, 9:25 PM

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upper abyss If that is the case, then you are done

..no? My expression does not fulfil the requirements of CNF

upper abyss Dec 19, 2021, 9:25 PM

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Or, sorry it's backwards

bronze swan Dec 19, 2021, 9:25 PM

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To be clear, what I got is $\lnot p \lor (q \land p) \lor (\lnot q \land r) \lor r$

wraith daggerBOT Dec 19, 2021, 9:25 PM

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Tāhā

bronze swan Dec 19, 2021, 9:26 PM

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This is in DNF isn't it

upper abyss Dec 19, 2021, 9:28 PM

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You can convert from one to the other using a double DeMorgan's application

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Been a while since I've done it, haha. I suggest Google to get that fully

bronze swan Dec 19, 2021, 9:30 PM

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let me try

cedar kilnBOT Dec 19, 2021, 9:45 PM

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@bronze swan Has your question been resolved?

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sand jungle Dec 19, 2021, 10:10 PM

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How do I solve this problem? I legit have no ideas.

cedar kilnBOT Dec 19, 2021, 10:10 PM

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sand jungle How do I solve this problem? I legit have no ideas.

violet flume Dec 19, 2021, 10:13 PM

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wow it took me a hot second to decipher this

elder tapir Dec 19, 2021, 10:13 PM

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use multiple time thales

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it's just thales and thales and thales all the way

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you know when you got a triangle and a line in it (here DE) if DE||AC then you have basic formula

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like AC/DE = AE/DB =CB/EB

sand jungle Dec 19, 2021, 10:17 PM

#

.close

cedar kilnBOT Dec 19, 2021, 10:17 PM

#

Channel closed

Closed by @sand jungle

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cedar kilnBOT Dec 20, 2021, 3:52 AM

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Channel closed

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cedar kilnBOT Dec 20, 2021, 1:13 PM

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cobalt meadow Dec 20, 2021, 1:14 PM

#

Hi folks. If 2^x = 5, then what is 2^x+2?

cedar kilnBOT Dec 20, 2021, 1:14 PM

#

cobalt meadow Hi folks. If 2^x = 5, then what is 2^x+2?

cobalt meadow Dec 20, 2021, 1:14 PM

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I can't seem to get around to solving this. I'm getting a little confused.

crisp jackal Dec 20, 2021, 1:16 PM

#

If 2^x = 5 then if we add +2 on both sides we get 2^x + 2 = 5 + 2 = 7 meaning we have 2^x + 2 = 7 ?

#

$$ 2^x=5 \iff 2^x + 2 = 5 + 2 \iff 2^x + 2 = 7 $$

wraith daggerBOT Dec 20, 2021, 1:17 PM

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mrbrown

cobalt meadow Dec 20, 2021, 1:18 PM

#

Not that.
Let me write the question rq.

cobalt meadow Dec 20, 2021, 1:21 PM

#

crisp jackal If 2^x = 5 then if we add +2 on both sides we get 2^x + 2 = 5 + 2 = 7 meaning we...

https://i.clouds.tf/elis/15zs.png

crisp jackal Dec 20, 2021, 1:21 PM

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oh lol

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sorry

cobalt meadow Dec 20, 2021, 1:22 PM

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No problem, I was able to get the solution with my calculator but I need to know how I should solve it manually

graceful karma Dec 20, 2021, 1:22 PM

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You'd say that like 2^(x+2) catthumbsup

cobalt meadow Dec 20, 2021, 1:23 PM

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first time writing maths equations on a keyboard :P

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one of the first anyway

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my bad

graceful karma Dec 20, 2021, 1:23 PM

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It's all good

#

Do you know log?

#

Like logarithms

bright surge Dec 20, 2021, 1:24 PM

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cobalt meadow https://i.clouds.tf/elis/15zs.png

hint: $a^b \times a^c=a^{b+c}$

wraith daggerBOT Dec 20, 2021, 1:24 PM

#

Kanga Gang ¬Sam

bright surge Dec 20, 2021, 1:24 PM

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@graceful karma why bring up logs?

graceful karma Dec 20, 2021, 1:24 PM

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I mean ig you could do it like that

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But logs are epic too

bright surge Dec 20, 2021, 1:26 PM

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logs

graceful karma Dec 20, 2021, 1:26 PM

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catthumbsup

cobalt meadow Dec 20, 2021, 1:26 PM

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so i've got 2^(2x+2)

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thenk

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okay let me try the hint differently? sad

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isn't there a specific rule where if the base = base then power = power?

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wait no

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alright i'm lost

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today's not a day for my maths brain WAHH

graceful karma Dec 20, 2021, 1:29 PM

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wraith dagger **Kanga Gang ¬Sam**

This should be the only rule you need

bright surge Dec 20, 2021, 1:32 PM

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graceful karma This should be the only rule you need

repost (no, that isnt it.)

tranquil oracle Dec 20, 2021, 1:33 PM

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bright surge repost (no, that isnt it.)

wait what

bright surge Dec 20, 2021, 1:33 PM

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wait no

bright surge Dec 20, 2021, 1:34 PM

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tranquil oracle wait what

why did i say +

tranquil oracle Dec 20, 2021, 1:34 PM

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idk

cobalt meadow Dec 20, 2021, 1:34 PM

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found

bright surge Dec 20, 2021, 1:34 PM

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i mean times

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hint: $a^b \times a^c=a^{b+c}$

wraith daggerBOT Dec 20, 2021, 1:34 PM

#

Kanga Gang ¬Sam

bright surge Dec 20, 2021, 1:34 PM

#

this is better

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omg i'm sooo clumsy

cobalt meadow Dec 20, 2021, 1:35 PM

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so do i multiply 2^x with 2^(x+2)?

bright surge Dec 20, 2021, 1:35 PM

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no

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i mean

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let the base be 2

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and you have 2^{x+2}

cobalt meadow Dec 20, 2021, 1:36 PM

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yeah i don't get it

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i'm a little slow today sorry

graceful karma Dec 20, 2021, 1:38 PM

#

$2^{b+c} =2^b \times 2^c$

wraith daggerBOT Dec 20, 2021, 1:38 PM

#

PapaBread

cobalt meadow Dec 20, 2021, 1:40 PM

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got it!

#

it's gonna be 20

graceful karma Dec 20, 2021, 1:40 PM

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Indeed

cobalt meadow Dec 20, 2021, 1:40 PM

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that got confusing for me

graceful karma Dec 20, 2021, 1:41 PM

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I think it was just because the formula was """backwards"""

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You were trying to apply it left to right

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Instead of right to left

cobalt meadow Dec 20, 2021, 1:41 PM

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maybe

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alright, thank you guys a lot!

#

i actually wonder what you feel when you see some people struggling at a maths question that you probably consider easy :P

#

thanks again :)

#

.close

cedar kilnBOT Dec 20, 2021, 1:42 PM

#

Channel closed

Closed by @cobalt meadow

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crimson sedge Dec 20, 2021, 2:08 PM

#

Hiii
I have a question related to the D.I. method
So i have $\int \qty(\frac{e^{-kx}}{x}+\frac{e^{-kx}}{kx^2})dx$

cedar kilnBOT Dec 20, 2021, 2:08 PM

#

crimson sedge Hiii I have a question related to the D.I. method So i have $\int \qty(\frac{e^{...

wraith daggerBOT Dec 20, 2021, 2:08 PM

#

Insert nerdy name

crimson sedge Dec 20, 2021, 2:10 PM

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And if you try to integrate with the traditional integration by parts the uv - int u'v one

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Its easily solvable

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Because int u'v of the first integrand is the same as the second so they subtract each other out

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But if I try to do that with the D.I. method its not really obvious at first

#

I'd like to know how to spot conditions like that if im not clear with my question then pls ping me

#

<@&286206848099549185>

cedar kilnBOT Dec 20, 2021, 2:27 PM

#

@crimson sedge Has your question been resolved?

crimson sedge Dec 20, 2021, 2:34 PM

#

.close

cedar kilnBOT Dec 20, 2021, 2:34 PM

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Channel closed

Closed by @near holly

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opaque sluice Dec 20, 2021, 3:08 PM

#

i need help with calc

cedar kilnBOT Dec 20, 2021, 3:08 PM

#

opaque sluice i need help with calc

opaque sluice Dec 20, 2021, 3:09 PM

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it says Write Eq (3) in terms of A and B to derive Rule (3)

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this is eq:3 cos(a+b)+cos(a-b)=2cosacosb

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this

dense wing Dec 20, 2021, 3:11 PM

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A=a+b and B=a-b.

opaque sluice Dec 20, 2021, 3:11 PM

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dense wing A=a+b and B=a-b.

thats it?

dense wing Dec 20, 2021, 3:11 PM

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yes.

opaque sluice Dec 20, 2021, 3:12 PM

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wait there is no working out?

dense wing Dec 20, 2021, 3:12 PM

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there is

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you need to know what a and b are to complete the sub.

wraith daggerBOT Dec 20, 2021, 3:12 PM

#

#

opaque sluice Dec 20, 2021, 3:13 PM

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it said terms of A and B

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wait, is there a way for me to get the solving, not just the answer?

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Upper

dense wing Dec 20, 2021, 3:14 PM

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The solving is just look at what you need the sub to be to turn eqn 3 into rule 3.

opaque sluice Dec 20, 2021, 3:14 PM

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what does that mean-

dense wing Dec 20, 2021, 3:14 PM

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a and A are different variables.

opaque sluice Dec 20, 2021, 3:14 PM

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dense wing The solving is just look at what you need the sub to be to turn eqn 3 into rule ...

i dont know what a sub is

dense wing Dec 20, 2021, 3:14 PM

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????

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You're in calc and have never done a sub before???

opaque sluice Dec 20, 2021, 3:15 PM

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can I upload a document here? maybe itll make more sense

opaque sluice Dec 20, 2021, 3:15 PM

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dense wing You're in calc and have never done a sub before???

I dont understand my teacher

dense wing Dec 20, 2021, 3:15 PM

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opaque sluice I dont understand my teacher

Never understood any of your teachers?

opaque sluice Dec 20, 2021, 3:15 PM

#

📎 G11_Pre-Calculus_PT1-Trigonometry.docx

opaque sluice Dec 20, 2021, 3:15 PM

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dense wing Never understood **any** of your teachers?

I understand my algebra teacher

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but calculus is hard fsr

dense wing Dec 20, 2021, 3:15 PM

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subbing stuff is an algebra concept

opaque sluice Dec 20, 2021, 3:16 PM

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ik its simple my classmates told me

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but none offered to help

dense wing Dec 20, 2021, 3:16 PM

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Yeah part b is literally what I said.

opaque sluice Dec 20, 2021, 3:17 PM

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I did b, i had help from someone

dense wing Dec 20, 2021, 3:17 PM

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so c is obvious.

opaque sluice Dec 20, 2021, 3:17 PM

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i just need to figure out the rest

opaque sluice Dec 20, 2021, 3:17 PM

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dense wing so c is obvious.

it is?

dense wing Dec 20, 2021, 3:17 PM

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yes

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just apply part b

opaque sluice Dec 20, 2021, 3:17 PM

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oh ok

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but what about d?

dense wing Dec 20, 2021, 3:20 PM

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apply what you just derived..

opaque sluice Dec 20, 2021, 3:21 PM

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im gonna be dead honest right now

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i dont understand ANYTHING youre saying

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from sub to derive

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god i hate this

#

how do i close the channel?

#

i dont want to solve this anymore

#

.close

cedar kilnBOT Dec 20, 2021, 3:31 PM

#

Channel closed

Closed by @opaque sluice

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fierce egret Dec 20, 2021, 4:32 PM

#

cedar kilnBOT Dec 20, 2021, 4:32 PM

#

fierce egret

quaint otter Dec 20, 2021, 4:32 PM

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Bruh

fierce egret Dec 20, 2021, 4:32 PM

#

Exactly bruh

quaint otter Dec 20, 2021, 4:32 PM

#

I was here dude

fierce egret Dec 20, 2021, 4:33 PM

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It was open man

#

Sorry

quaint otter Dec 20, 2021, 4:33 PM

#

Issok

fierce egret Dec 20, 2021, 4:33 PM

#

#

<@&286206848099549185>

crisp jackal Dec 20, 2021, 4:50 PM

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@fierce egret I'd start by summarizing the two fractions on the right hand side into one fraction

fierce egret Dec 20, 2021, 4:51 PM

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You need to solve for the one on the right

crisp jackal Dec 20, 2021, 4:52 PM

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yeah

#

oh right

#

first get the expression 1/de = .................

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and then summarize the two fractions

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and then you can take the reciproce value

fierce egret Dec 20, 2021, 4:56 PM

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crisp jackal and then summarize the two fractions

Trying to summarize them is the hardest part

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Don't I have to get common denominators to subtract them

crisp jackal Dec 20, 2021, 4:56 PM

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yes exactly! 🙂

fierce egret Dec 20, 2021, 4:56 PM

#

#

Basically it becomes this

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ofc I can factor these

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But then I don't know how to actually subtract them becuase theres a fraction over a fraction

crisp jackal Dec 20, 2021, 4:59 PM

#

you can use this $$ \frac{1}{a} = \frac{1}{b}- \frac{1}{c} \iff \frac{1}{a} = \frac{c}{bc} - \frac{b}{bc} \iff \frac{1}{a} = \frac{c-b}{bc} \iff a = \frac{bc}{c-b} $$

wraith daggerBOT Dec 20, 2021, 4:59 PM

#

mrbrown

calm yoke Dec 20, 2021, 5:00 PM

#

yoo how do u use texit? do i have to learn how to write in it?

crisp jackal Dec 20, 2021, 5:00 PM

#

wait a second 😅 we are working on Voximity's problem atm here

calm yoke Dec 20, 2021, 5:00 PM

#

im relative new here, sorry if its dumb question and not the theme

crisp jackal Dec 20, 2021, 5:01 PM

#

you can use one of the 'free" help channels

calm yoke Dec 20, 2021, 5:01 PM

#

yesss okok

crisp jackal Dec 20, 2021, 5:01 PM

#

🙂

#

@fierce egret I will assume you already got to this part, right? $$ \frac{1}{d_e} = \frac{1}{f} - \frac{1}{d_i} $$

wraith daggerBOT Dec 20, 2021, 5:02 PM

#

mrbrown

crisp jackal Dec 20, 2021, 5:02 PM

#

let's summarize the two fractions on the right handside

fierce egret Dec 20, 2021, 5:02 PM

#

Yeah

#

I have

crisp jackal Dec 20, 2021, 5:03 PM

#

$$ \frac{1}{f} - \frac{1}{d_i} = \frac{d_i}{d_i f} - \frac{f}{fd_i} = \frac{d_i - f}{fd_i} $$

wraith daggerBOT Dec 20, 2021, 5:03 PM

#

mrbrown

crisp jackal Dec 20, 2021, 5:04 PM

#

now let's insert the bad bois 😄

#

$$ \frac{1}{d_e} = \frac{\frac{x^2+2x-3}{2x^2 + 10}- \frac{x^2-9}{x^2+x-2}}{\frac{x^2-9}{x^2+x-2} \frac{x^2+2x-3}{2x^2 + 10}} $$

wraith daggerBOT Dec 20, 2021, 5:06 PM

#

mrbrown

crisp jackal Dec 20, 2021, 5:08 PM

#

surely it is possible to simplify this further

#

i am not sure yet but we can try to factorize things, hopefully some terms will cancel out each other

#

no, actually it doens'T look like much will cancel each other out

#

we can try to rewrite it

#

$$ \frac{1}{d_e} = \frac{(x^2+2x-3)(x^2+x-2) - (x^2-9)(2x^2+10)}{(x^2-9)(x^2+2x-3)} $$

wraith daggerBOT Dec 20, 2021, 5:12 PM

#

mrbrown

fierce egret Dec 20, 2021, 5:14 PM

#

#

This is what I got yeah

crisp jackal Dec 20, 2021, 5:14 PM

#

looks good!

fierce egret Dec 20, 2021, 5:15 PM

#

Not sure how to simplify much further though

#

I guess that'd juts be the answer

crisp jackal Dec 20, 2021, 5:15 PM

#

yeah it doesn't look like it can be simplified much further

fierce egret Dec 20, 2021, 5:16 PM

#

Thanks for your help man @crisp jackal

#

Been struggling on this for a good 2hours

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😂

crisp jackal Dec 20, 2021, 5:16 PM

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no problem :D:D

#

i have similar issues haha, the day before yesterday i was sitting at a problem for 5 hours lol

fierce egret Dec 20, 2021, 5:17 PM

#

😂

#

.close

cedar kilnBOT Dec 20, 2021, 5:17 PM

#

Channel closed

Closed by @fierce egret

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wet gorge Dec 20, 2021, 5:30 PM

#

This is a Desmos graphic calculator question. My z_step function contains an action V->V+tA where V is a list, t is a number, and A is a list. This action does not have an error, but it doesn't execute, even if I put it on its own line. I think this is because A is defined as such:

Is there a way to fix this? Link for reference: https://www.desmos.com/calculator/aybjlzytr5

Desmos

Solar System

cedar kilnBOT Dec 20, 2021, 5:30 PM

#

wet gorge This is a Desmos graphic calculator question. My z_step function contains an act...

wet gorge Dec 20, 2021, 5:30 PM

#

If there is another way to calculate acceleration in a way that desmos allows to be used in an action, that would be fine

#

A list that is simply a set of numbers CAN be used in an action, but A is still a list so it should work as far as I know

cedar kilnBOT Dec 20, 2021, 5:47 PM

#

@wet gorge Has your question been resolved?

wet gorge Dec 20, 2021, 5:47 PM

#

<@&286206848099549185>

#

😦

calm yoke Dec 20, 2021, 6:08 PM

#

what was the question ?

wet gorge Dec 20, 2021, 6:09 PM

#

calm yoke what was the question ?

how do I fix the z_step function to have the velocity action work

calm yoke Dec 20, 2021, 6:10 PM

#

oh on(

#

sorry i have no clue

cedar kilnBOT Dec 20, 2021, 6:39 PM

#

@wet gorge Has your question been resolved?

wet gorge Dec 20, 2021, 7:17 PM

#

I'm assuming I don't ping helpers again?

cedar kilnBOT Dec 20, 2021, 8:17 PM

#

@wet gorge Has your question been resolved?

cedar kilnBOT Dec 20, 2021, 9:17 PM

#

Channel closed

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open cedar Dec 20, 2021, 9:56 PM

#

how to get from this to that

cedar kilnBOT Dec 20, 2021, 9:56 PM

#

open cedar how to get from this to that

open cedar Dec 20, 2021, 9:56 PM

#

i dont know what they did'

normal wraith Dec 20, 2021, 9:57 PM

#

add 2 to both sides of the first equation

#

then square both sides

open cedar Dec 20, 2021, 9:57 PM

#

ok but where does 6x come from

normal wraith Dec 20, 2021, 9:58 PM

#

,tex $(x^2+3)^2=x^4+6x^2+9$

wraith daggerBOT Dec 20, 2021, 9:58 PM

#

Brun。

open cedar Dec 20, 2021, 9:58 PM

#

Oh.

#

thanks boi

#

!close

wet gorge Dec 20, 2021, 10:00 PM

#

.reopen

cedar kilnBOT Dec 20, 2021, 10:13 PM

#

@open cedar Has your question been resolved?

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Channel closed

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crimson sedge Dec 20, 2021, 10:38 PM

#

So does anyone know how to find the area and volume of a three sided prisms using the diagonal of the side?

cedar kilnBOT Dec 20, 2021, 10:38 PM

#

crimson sedge So does anyone know how to find the area and volume of a three sided prisms usin...

crimson sedge Dec 20, 2021, 10:43 PM

#

I got 9√3/4 x 6√2. And i do not know how to solve that

cedar kilnBOT Dec 20, 2021, 10:58 PM

#

@crimson sedge Has your question been resolved?

crimson sedge Dec 20, 2021, 10:59 PM

#

<@&286206848099549185>

#

lol everyone has got at least 1 answer other than me

crimson sedge Dec 20, 2021, 11:39 PM

#

<@&286206848099549185>

dense wing Dec 21, 2021, 12:08 AM

#

crimson sedge lol everyone has got at least 1 answer other than me

yeah.. cause your question is vague as hell.

#

No prism with 3 sides exists

crimson sedge Dec 21, 2021, 12:09 AM

#

yes, a prism with 2 bases and 3 sides

dense wing Dec 21, 2021, 12:09 AM

#

so a triangular prism.

#

not a "3-sided prism"

crimson sedge Dec 21, 2021, 12:09 AM

#

Im translating from serbian to english ;-;

#

Sorry bout that

dense wing Dec 21, 2021, 12:10 AM

#

Ok.. well still not enough info

#

cause you've not given any dimensions.

crimson sedge Dec 21, 2021, 12:10 AM

#

Ah well i have been waiting for a response

#

so the diagonal of the side is 9 cm

#

like a base side is 3 cm

#

I need to calculate volume and area

#

<@&286206848099549185>

#

Of a triangular prism

cedar kilnBOT Dec 21, 2021, 12:54 AM

#

@crimson sedge Has your question been resolved?

cedar kilnBOT Dec 21, 2021, 1:54 AM

#

@crimson sedge Has your question been resolved?

cedar kilnBOT Dec 21, 2021, 2:54 AM

#

Channel closed

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teal thorn Dec 21, 2021, 3:11 AM

#

Is this true for all A and B if the angles can form a closed triangle?
Is this just implied to be true due to the construction of the triangle?

cedar kilnBOT Dec 21, 2021, 3:11 AM

#

teal thorn Is this true for all A and B if the angles can form a closed triangle? Is this j...

bright surge Dec 21, 2021, 3:13 AM

#

teal thorn Is this true for all A and B if the angles can form a closed triangle? Is this j...

there's not enough information (in some cases)

teal thorn Dec 21, 2021, 3:14 AM

#

let theta 1 be 50 degrees, A be 1, B be 1.5

#

good to know, and thanks for the response, @bright surge

#

.close

cedar kilnBOT Dec 21, 2021, 3:16 AM

#

Channel closed

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bright surge Dec 21, 2021, 3:20 AM

#

welp-
for your case, there are no triangles like that(here) (also @teal thorn do you understand why i'm drawing these?)

cedar kilnBOT Dec 21, 2021, 3:21 AM

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teal thorn Dec 21, 2021, 3:21 AM

#

I get its not a solid triangle.
Original problem is an offset crank, @bright surge

cedar kilnBOT Dec 21, 2021, 3:21 AM

#

teal thorn I get its not a solid triangle. Original problem is an offset crank, <@684674576...

teal thorn Dec 21, 2021, 3:21 AM

#

.close

cedar kilnBOT Dec 21, 2021, 3:21 AM

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cedar kilnBOT Dec 21, 2021, 10:30 AM

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hollow basin Dec 21, 2021, 12:12 PM

#

Hello, I am given the basis (1,1),(1,0)
(or any basis where this is the matrix )
( a a)
(b +1 b )

and I am asked to find a similar basis such as (2,1)’s first coordinate is 0. How do I do this?

cedar kilnBOT Dec 21, 2021, 12:12 PM

#

hollow basin Hello, I am given the basis (1,1),(1,0) (or any basis where this is the matrix ...

hollow basin Dec 21, 2021, 12:14 PM

#

The correction states that this is just the equivalent of saying that (2,1) is a scalar multiplication of (b+1, b)

#

But it’s like ???

cedar kilnBOT Dec 21, 2021, 12:29 PM

#

@hollow basin Has your question been resolved?

hollow basin Dec 21, 2021, 12:29 PM

#

<@&286206848099549185>

cedar kilnBOT Dec 21, 2021, 12:59 PM

#

@hollow basin Has your question been resolved?

mighty drift Dec 21, 2021, 1:03 PM

#

The trick would be to notice that (2,1) is of the form (x+1, x) for x=1, and that this can be expressed as (0,0) + (1+1,1) = 0.A + 1.B (with A,B the basis vectors).

Otherwise you can just setup the system: x = 2 = a + b + 1 and y = 1 = a + b, from which the solutions are clear ( (0,1) is solution)

cedar kilnBOT Dec 21, 2021, 1:29 PM

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cedar kilnBOT Dec 21, 2021, 11:51 PM

#

dense wing Dec 21, 2021, 11:52 PM

#

<@&268886789983436800>

cedar kilnBOT Dec 21, 2021, 11:52 PM

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mental tangle Dec 22, 2021, 1:41 AM

#

I never got how the square root of 4x^2 is 2x. Why isnt it 4x

cedar kilnBOT Dec 22, 2021, 1:41 AM

#

mental tangle I never got how the square root of 4x^2 is 2x. Why isnt it 4x

dense wing Dec 22, 2021, 1:42 AM

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square root of 4 is what?

bright surge Dec 22, 2021, 1:42 AM

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mental tangle I never got how the square root of 4x^2 is 2x. Why isnt it 4x

try doing (4x)^2

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do you get 4x^2?

mental tangle Dec 22, 2021, 1:43 AM

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No

bright surge Dec 22, 2021, 1:43 AM

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mental tangle No

so should 4x^2's square root be 4x?

mental tangle Dec 22, 2021, 1:43 AM

#

Nah

bright surge Dec 22, 2021, 1:44 AM

#

also, you can use this very handy thing:
$\sqrt{ab}=\sqrt{a}\sqrt{b}$

wraith daggerBOT Dec 22, 2021, 1:44 AM

#

Kanga Gang ¬Sam

bright surge Dec 22, 2021, 1:44 AM

#

(both are the positive square root of ab, if you don't believe me, just try squaring them)

#

anyways, for this problem, you must find $\sqrt{4x^2} = \sqrt{4}\sqrt{x^2}$

wraith daggerBOT Dec 22, 2021, 1:45 AM

#

Kanga Gang ¬Sam

bright surge Dec 22, 2021, 1:45 AM

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i hope you can take it from here

cedar kilnBOT Dec 22, 2021, 1:58 AM

#

@mental tangle Has your question been resolved?

bold vine Dec 22, 2021, 2:01 AM

#

mental tangle I never got how the square root of 4x^2 is 2x. Why isnt it 4x

2x • 2x = 4x^2

But 4x • 4x = 16x^2

cedar kilnBOT Dec 22, 2021, 2:13 AM

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distant gale Dec 22, 2021, 3:44 AM

#

Help

cedar kilnBOT Dec 22, 2021, 3:44 AM

#

distant gale Help

distant gale Dec 22, 2021, 3:45 AM

#

upper abyss Dec 22, 2021, 3:46 AM

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Do you have a formula for sin(a + b)?

distant gale Dec 22, 2021, 3:47 AM

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Yeah

#

heavy igloo Dec 22, 2021, 3:49 AM

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#

question F please

#

<@&286206848099549185>

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nvm got it

cedar kilnBOT Dec 22, 2021, 4:02 AM

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@distant gale Has your question been resolved?

worldly iron Dec 22, 2021, 4:04 AM

#

heavy igloo

#❓how-to-get-help

#

This channel is occupied

#

ask your question somewhere else in the available channels

#

@heavy igloo

cedar kilnBOT Dec 22, 2021, 4:32 AM

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@distant gale Has your question been resolved?

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cedar kilnBOT Dec 22, 2021, 8:00 PM

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high flare Dec 22, 2021, 8:24 PM

#

Hey! Anyone able to help me with these 3 questions, been practicing and don't understand these questions:

cedar kilnBOT Dec 22, 2021, 8:24 PM

#

high flare Hey! Anyone able to help me with these 3 questions, been practicing and don't un...

upper abyss Dec 22, 2021, 8:25 PM

#

Blocking question 4

#

Or "is parallel to m" I suppose

teal field Dec 22, 2021, 8:27 PM

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lol i also need help but i think i can do this

#

lets say 5x+40 + 2x = 180 cus abc is also 5x (corres. angles) and they ar3 linear pair now, x = 20

#

5:
2x+1 = 85 (alternate interior angles)
solve for x
then solve for y since u know 2x+1 is 85 degrees, 180 - 85 = 3y + 5

#

6:
2m = 4m - 120 (corresponding angles)
once u get M, whatever 4m-120 is equals 5n cus vertical angle

#

@high flare

cedar kilnBOT Dec 22, 2021, 8:39 PM

#

@high flare Has your question been resolved?

high flare Dec 22, 2021, 8:51 PM

#

Alrighty, Thank you so much @teal field

#

!done

kindred storm Dec 22, 2021, 9:11 PM

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@high flare Use .close

#

.close

cedar kilnBOT Dec 22, 2021, 9:11 PM

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Channel closed

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cedar kilnBOT Dec 23, 2021, 7:09 PM

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round mauve Dec 23, 2021, 8:01 PM

#

cedar kilnBOT Dec 23, 2021, 8:01 PM

#

round mauve

round mauve Dec 23, 2021, 8:02 PM

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how did my prof manipulate this to amek it like that

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what's the rule used in here?

south tundra Dec 23, 2021, 8:02 PM

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I think he just made common denominators

round mauve Dec 23, 2021, 8:02 PM

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really?

south tundra Dec 23, 2021, 8:03 PM

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Yeah

round mauve Dec 23, 2021, 8:03 PM

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ok i see it now

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lol it seemed so foreign

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it must be because of the brackets

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these square brackets dont mean anything else do they?

south tundra Dec 23, 2021, 8:04 PM

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Nope, you can view them as regular brackets

round mauve Dec 23, 2021, 8:04 PM

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oh ok thanks

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also lmaooo i jsut noticed ur nick

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that's hilarious

south tundra Dec 23, 2021, 8:05 PM

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Long story

round mauve Dec 23, 2021, 8:06 PM

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haha ok

#

.close

cedar kilnBOT Dec 23, 2021, 8:13 PM

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shell seal Dec 23, 2021, 9:16 PM

#

cedar kilnBOT Dec 23, 2021, 9:16 PM

#

shell seal

shell seal Dec 23, 2021, 9:16 PM

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Help?

glad kestrel Dec 23, 2021, 9:17 PM

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with what exactly

shell seal Dec 23, 2021, 9:17 PM

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I don't know how to solve it

glad kestrel Dec 23, 2021, 9:17 PM

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are you solving for y

shell seal Dec 23, 2021, 9:17 PM

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Both x and y

glad kestrel Dec 23, 2021, 9:17 PM

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huh

bold vine Dec 23, 2021, 9:17 PM

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System of equations

glad kestrel Dec 23, 2021, 9:17 PM

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oh

bold vine Dec 23, 2021, 9:18 PM

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Solve for one variable in one equation in terms of the other

prime flint Dec 23, 2021, 9:18 PM

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u have 2 variables in 2 equations

bold vine Dec 23, 2021, 9:18 PM

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Plug this expression into the other equation for the variable you solved for

prime flint Dec 23, 2021, 9:18 PM

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this should be doable

bold vine Dec 23, 2021, 9:18 PM

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bold vine Plug this expression into the other equation for the variable you solved for

This should yields an equation with just one variable.

#

You can then solve for this variable.

prime flint Dec 23, 2021, 9:18 PM

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so maybe try to rearrange one of the equations in terms of 1 variable, then substitute that for the same variable in the OTHER equation

bold vine Dec 23, 2021, 9:19 PM

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Once you get the value of this variable, you can then plug its value into either one of the original equations to solve for the other variable

shell seal Dec 23, 2021, 9:19 PM

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Hmm

#

I will try

cedar kilnBOT Dec 23, 2021, 9:34 PM

#

@shell seal Has your question been resolved?

cedar kilnBOT Dec 23, 2021, 9:49 PM

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Channel closed

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crimson sedge Dec 23, 2021, 11:21 PM

#

cedar kilnBOT Dec 23, 2021, 11:21 PM

#

crimson sedge

cerulean star Dec 23, 2021, 11:25 PM

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B

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Exponential:

#

Use u-substitution where u = -x. All this will do is negate the non-constant term

crimson sedge Dec 23, 2021, 11:31 PM

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$\int{2^{-x}}dx \implies u=-x, du=-dx \implies -\int{2^u}du = -\bigg[\frac{2^u}{\ln(2)}+C\bigg] \implies -\bigg[\frac{2^{-x}}{\ln(2)}+C\bigg] \implies -\frac{2^{-x}}{\ln(2)}+C$

wraith daggerBOT Dec 23, 2021, 11:32 PM

#

Fang

dense wing Dec 23, 2021, 11:32 PM

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crimson sedge $\int{2^{-x}}dx \implies u=-x, du=-dx \implies -\int{2^u}du = -\bigg[\frac{2^u}{...

dont just give answers.

crimson sedge Dec 23, 2021, 11:33 PM

#

i was expanding on what disorganized said because they just gave an answer

dense wing Dec 23, 2021, 11:33 PM

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Theirs is less of an answer, you posted the entire solution.

crimson sedge Dec 23, 2021, 11:33 PM

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if the answer was already given i cant really control that

#

i mean yeah ig

cedar kilnBOT Dec 23, 2021, 11:38 PM

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@crimson sedge Has your question been resolved?

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crimson sedge Dec 23, 2021, 11:43 PM

#

Let $f(x) = Ax + B$ and $g(x) = Bx + A$, where $A \neq B$. If $f(g(x)) - g(f(x)) = B - A$, what is $A + B$?

cedar kilnBOT Dec 23, 2021, 11:43 PM

#

crimson sedge Let $f(x) = Ax + B$ and $g(x) = Bx + A$, where $A \neq B$. If $f(g(x)) - g(f(x))...

wraith daggerBOT Dec 23, 2021, 11:43 PM

#

crabbo

crimson sedge Dec 23, 2021, 11:50 PM

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i got $abx^2+a^2x+b=b-a$

wraith daggerBOT Dec 23, 2021, 11:50 PM

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crabbo

crimson sedge Dec 23, 2021, 11:51 PM

#

how do i continue

peak relic Dec 24, 2021, 12:04 AM

#

I guess I'm confused as to how you got an x^2 term. When I plug g(x) info f I get f(g(x)) = A(Bx + A) + B. This won't end up with an x^2 term. Similarly for g(f(x)).

cedar kilnBOT Dec 24, 2021, 12:09 AM

#

@crimson sedge Has your question been resolved?

sly iris Dec 24, 2021, 12:12 AM

#

A(Bx+A)+B - B(Ax+B)+A

crimson sedge Dec 24, 2021, 12:13 AM

#

peak relic I guess I'm confused as to how you got an x^2 term. When I plug g(x) info f I g...

f(g(x)) = Ax(Bx + A) + B

dense wing Dec 24, 2021, 12:13 AM

#

crimson sedge f(g(x)) = Ax(Bx + A) + B

no.

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f(g(x))=A[g(x)]+b

crimson sedge Dec 24, 2021, 12:14 AM

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dense wing f(g(x))=A[g(x)]+b

right

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oh im

#

wrong

#

i see

dense wing Dec 24, 2021, 12:14 AM

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yes.

crimson sedge Dec 24, 2021, 12:15 AM

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so ABx+A^2+B=B-A

crimson sedge Dec 24, 2021, 12:16 AM

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sly iris A(Bx+A)+B - B(Ax+B)+A

how did you get this?

sly iris Dec 24, 2021, 12:17 AM

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That's f(g) - g(f)

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Lol

crimson sedge Dec 24, 2021, 12:32 AM

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sly iris That's f(g) - g(f)

oh right

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A(Bx+a)-B(Ax+B)=0

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solve time

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this means that

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Ax=-B

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and Bx=-A

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or

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A=0

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or B=0

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i need help on how to continue

livid hound Dec 24, 2021, 12:49 AM

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crimson sedge this means that

where's all that coming from

crimson sedge Dec 24, 2021, 12:50 AM

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livid hound where's all that coming from

from this #help-13 message

#

oh

#

math error

#

A(Bx+a)-B(Ax+B)=-2A

livid hound Dec 24, 2021, 12:51 AM

#

steps were skipped but

A(Bx+a)-B(Ax+B)=0
looks ok

#

what did you do after that

#

where's all that coming from
where's Ax=-B
and everything that follows coming from

crimson sedge Dec 24, 2021, 12:56 AM

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livid hound > where's all that coming from where's Ax=-B and everything that follows coming ...

oh

#

i see

#

either

#

Ax+B=Bx+A

#

or A = 0

#

or B = 0

livid hound Dec 24, 2021, 1:03 AM

#

that's what you're saying but what's leading you to those conclusions

#

i.e where's Ax + B = Bx + A coming from

leaden otter Dec 24, 2021, 1:04 AM

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It's like saying if m+n=0 then m=0, n=0. That's the wrong conclusion. You can't assume anything like this.

livid hound Dec 24, 2021, 1:05 AM

#

where's
orA=0
or B=0
coming from

#

show all work and/or reasoning leading to your statements

crimson sedge Dec 24, 2021, 1:13 AM

#

i dont know how to solve it

leaden otter Dec 24, 2021, 1:14 AM

#

Nothing stopping you from expanding the brackets.

crimson sedge Dec 24, 2021, 1:24 AM

#

leaden otter Nothing stopping you from expanding the brackets.

A(Bx+A)-B(Ax+B)=0
ABx+A^2-BAx+B^2=0

#

A^2+B^2=0

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is the answer 0

#

A+B=0?

leaden otter Dec 24, 2021, 1:25 AM

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crimson sedge A(Bx+A)-B(Ax+B)=0 ABx+A^2-BAx+B^2=0

The last term is -B² and not +B²

crimson sedge Dec 24, 2021, 1:25 AM

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leaden otter The last term is -B² and not +B²

oh

#

so

#

(A+B)(A-B)=0

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either A-B=0

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or A+B=0

leaden otter Dec 24, 2021, 1:26 AM

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Yep

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But notice A-B can't be equal to 0

crimson sedge Dec 24, 2021, 1:27 AM

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leaden otter But notice A-B can't be equal to 0

why not?

livid hound Dec 24, 2021, 1:27 AM

#

read the question

crimson sedge Dec 24, 2021, 1:30 AM

#

oh

#

i see

#

.close

cedar kilnBOT Dec 24, 2021, 1:31 AM

#

Channel closed

Closed by @little wave

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cedar kilnBOT Dec 26, 2021, 10:20 PM

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teal heath Dec 26, 2021, 10:23 PM

#

hello I am struggling with this question

cedar kilnBOT Dec 26, 2021, 10:23 PM

#

teal heath hello I am struggling with this question

teal heath Dec 26, 2021, 10:34 PM

#

soft cloak Dec 26, 2021, 10:34 PM

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i mean, have you tried each of them?

teal heath Dec 26, 2021, 10:35 PM

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yes

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a is not true i know its 1

soft cloak Dec 26, 2021, 10:35 PM

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yup

teal heath Dec 26, 2021, 10:35 PM

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d is -1 so not true

soft cloak Dec 26, 2021, 10:35 PM

#

indeed

teal heath Dec 26, 2021, 10:36 PM

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e is not true it is 1

soft cloak Dec 26, 2021, 10:36 PM

#

yes

teal heath Dec 26, 2021, 10:36 PM

#

when i do b i get negative infinity

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and when i do c I get 0 so i am confused

soft cloak Dec 26, 2021, 10:36 PM

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yeah, i was for a second as well

#

and i think this is just the question being overly finnicky with the definition of "the limit exists"

#

because technically, if it tends to infinity it diverges so the implied finite limit doesn't exist

#

but usually you would disambiguate this by saying "converges towards a finite limit"

#

or something

teal heath Dec 26, 2021, 10:38 PM

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i think it was b because e^x exists for all values so there is a limit of 0

soft cloak Dec 26, 2021, 10:39 PM

#

yep, the others are simply false, and for this one i can see how you could play with the definitions to make it work

#

but if someone actually expected someone to answer b) without any hesitation i'd slap them

#

figure of speech, but still

#

Things going to ±∞ are in general "kinda convergent". Like yeah it doesn't tend towards any particular real value, but c'mon it's regular, it's not like sin(n) or anything

teal heath Dec 26, 2021, 10:41 PM

#

so why is the answer for b not exist because as that function approaches 0 from the right it gets closer to negative infinity

soft cloak Dec 26, 2021, 10:42 PM

#

The only way i see the question working is if you say "-∞ isn't a number so the limit doesn't exist"

#

because limits are often understood to be finite values

teal heath Dec 26, 2021, 10:43 PM

#

ok because when i graphed it i got this

#

soft cloak Dec 26, 2021, 10:43 PM

#

and you're right

#

if you ask 100 mathematicians what this limit is, 99 will answer "-∞"

teal heath Dec 26, 2021, 10:44 PM

#

im just confused because as it approaches 0 from the right it goes toward negative infinity, it never really hits 0

soft cloak Dec 26, 2021, 10:45 PM

#

Just like when x approaches -∞ in e^-x, it never really hits -∞

#

Limits don't deal in "what happens at the value", you have a wonderful tool for that called a calculator

#

Limits deal in "what happens if i get arbitrarily close to this value"

#

so yeah, you never reach 0, but that wasn't the point

teal heath Dec 26, 2021, 10:49 PM

#

ok thanks for the help

#

.close

cedar kilnBOT Dec 26, 2021, 10:50 PM

#

Channel closed

Closed by @teal heath

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cedar kilnBOT Dec 28, 2021, 4:24 PM

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dusty stone Dec 28, 2021, 4:43 PM

#

how many event possible in random experience

cedar kilnBOT Dec 28, 2021, 4:43 PM

#

dusty stone how many event possible in random experience

ornate mortar Dec 28, 2021, 4:50 PM

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dusty stone how many event possible in random experience

what do you mean it depends on the question

dusty stone Dec 28, 2021, 4:52 PM

#

the question ask if the number of possible events could be greater than the fondamental set

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issued results

dense wing Dec 28, 2021, 4:54 PM

#

Post the question verbatum

dusty stone Dec 28, 2021, 4:56 PM

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is the numbers of events associed to a random exprience greater than number of results in the fundamental set of that experience.

dense wing Dec 28, 2021, 4:56 PM

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Fundamental set is something from ODEs... it sounds like you're trying to talk about probability

dusty stone Dec 28, 2021, 4:56 PM

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yes

dense wing Dec 28, 2021, 4:57 PM

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So... what's fundamental set in this context...?

dusty stone Dec 28, 2021, 4:57 PM

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there is non

dense wing Dec 28, 2021, 4:57 PM

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???

dusty stone Dec 28, 2021, 4:57 PM

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just a question

dense wing Dec 28, 2021, 4:58 PM

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Then the question is bad

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You're asking about something that apparently doesn't exist

dusty stone Dec 28, 2021, 4:58 PM

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well it is not me who posing the question it is the teacher

dense wing Dec 28, 2021, 4:59 PM

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No, it's getting lost in translation...

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Given your broken English, you're translating the question

dusty stone Dec 28, 2021, 4:59 PM

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yes indeed

fickle trellis Dec 28, 2021, 5:01 PM

#

Hassan, um what language is the original question in?

dusty stone Dec 28, 2021, 5:07 PM

#

french

cedar kilnBOT Dec 28, 2021, 5:22 PM

#

@dusty stone Has your question been resolved?

olive geyser Dec 28, 2021, 5:23 PM

#

dusty stone french

mdr un fr

cedar kilnBOT Dec 28, 2021, 5:23 PM

#

Channel closed

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rugged tusk Dec 28, 2021, 5:26 PM

#

. (∃x a(x) ∨ ∃x b(x)) → ∃x (a(x) ∨ b(x))

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.close

#

.close

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.cloose

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.close

#

Snimka_obrazovky_2021-12-28_o_18.25.28.png

cedar kilnBOT Dec 28, 2021, 5:27 PM

#

rugged tusk

rugged tusk Dec 28, 2021, 5:27 PM

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can someone help me prove this statement ?

cedar kilnBOT Dec 28, 2021, 5:42 PM

#

@rugged tusk Has your question been resolved?

cedar kilnBOT Dec 28, 2021, 6:14 PM

#

@rugged tusk Has your question been resolved?

south tundra Dec 28, 2021, 6:18 PM

#

Define set non-empty A such that the statement a is true for only numbers in the A set and similarly define non-empty B such that the statement b is true for only numbers in the B set

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This is basically what we conclude from (∃x a(x) ∨ ∃x b(x))

#

Then ∃x (a(x) ∨ b(x)) is clearly true, because we can choose x to be in the set $A\cup{B}$

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Wait how do I write union in LaTeX

wraith daggerBOT Dec 28, 2021, 6:21 PM

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Touch Our Beans

south tundra Dec 28, 2021, 6:21 PM

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Oh thanks

rugged tusk Dec 28, 2021, 6:29 PM

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south tundra Oh thanks

ok thanks, i got it

#

.close

cedar kilnBOT Dec 28, 2021, 6:29 PM

#

Channel closed

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clever jewel Dec 28, 2021, 7:52 PM

#

I know this is wrong, but where is it wrong?

cedar kilnBOT Dec 28, 2021, 7:52 PM

#

clever jewel I know this is wrong, but where is it wrong?

#

@clever jewel Has your question been resolved?

south tundra Dec 28, 2021, 8:09 PM

#

View $\frac{x - 1}{x + 1}$ as $1 - \frac{2}{x + 1}$

wraith daggerBOT Dec 28, 2021, 8:09 PM

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Touch Our Beans

clever jewel Dec 28, 2021, 8:11 PM

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clever jewel I know this is wrong, but where is it wrong?

but like, where is it wrong in this image?

south tundra Dec 28, 2021, 8:14 PM

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$\lim_{x\to\infty}(\frac{1 - \frac{2}{x} + \frac{1}{x^2}}{1 - \frac{1}{x^2}})^x \ne 1$

wraith daggerBOT Dec 28, 2021, 8:14 PM

#

Touch Our Beans

south tundra Dec 28, 2021, 8:14 PM

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Only this part

clever jewel Dec 28, 2021, 8:14 PM

#

can't I simply take each of those fractions as a separate limit and evaluate them separately?

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and then plug in the values

south tundra Dec 28, 2021, 8:15 PM

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No, I can give you an example where such conclusion fails

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$e = \lim_{n\to\infty}(1 + \frac{1}{n})^n$

wraith daggerBOT Dec 28, 2021, 8:15 PM

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Touch Our Beans

south tundra Dec 28, 2021, 8:15 PM

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1 + 1/n clearly approaches 1

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Yet the limit isn't equal to 1

clever jewel Dec 28, 2021, 8:16 PM

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hmm

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yeah, I know it's e

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but like, what's stopping me from breaking that limit into smaller limits?

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can't the limit of some addition be broken into an addition of 2 limits?

south tundra Dec 28, 2021, 8:18 PM

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Yes (1 + 1/n)^n is the same as (1 + 1/n) being multiplied n times

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But the limit should be the value that the expression approaches as n gets arbitrarily large

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We can't even guarantee that it's a natural number in the first place

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To break (1 + 1/n)^n into (1 + 1/n) being taken n times

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It's almost the same mistake as writing $\sum_{k=0}^N{k} = k\sum_{k=0}^N{1}$

wraith daggerBOT Dec 28, 2021, 8:21 PM

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Touch Our Beans

south tundra Dec 28, 2021, 8:23 PM

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I hope it's clear now

clever jewel Dec 28, 2021, 8:24 PM

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hmm

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I just checked the limit laws

south tundra Dec 28, 2021, 8:27 PM

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wraith dagger **Touch Our Beans**

Did you try this yet?

clever jewel Dec 28, 2021, 8:27 PM

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yeah, it works

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what I was about to say

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was that I thought I could do something like this:

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but it only works if g(x) is a constant

south tundra Dec 28, 2021, 8:29 PM

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I think it works as long as limits for f and g exist generally

clever jewel Dec 28, 2021, 8:29 PM

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oh

south tundra Dec 28, 2021, 8:29 PM

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g doesn't have to necessarily be constant function

clever jewel Dec 28, 2021, 8:29 PM

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well, I found this image

#

clever jewel Dec 28, 2021, 8:31 PM

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wraith dagger **Touch Our Beans**

honestly, I still don't understand why this wouldn't work

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if the limit can be broken into separate ones

dense wing Dec 28, 2021, 8:32 PM

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wraith dagger **Touch Our Beans**

cause you ignored the power entirely

clever jewel Dec 28, 2021, 8:34 PM

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so I can't just evaluate the function inside the paranthesis and then worry about the power?

clever jewel Dec 28, 2021, 8:34 PM

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clever jewel was that I thought I could do something like this:

like this

dense wing Dec 28, 2021, 8:34 PM

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yes

clever jewel Dec 28, 2021, 8:34 PM

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clever jewel was that I thought I could do something like this:

so this doesn't work at all?

dense wing Dec 28, 2021, 8:35 PM

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That I'm aware no, however those type of limits (ex. e's definition) require log tricks

elfin hemlock Dec 28, 2021, 8:35 PM

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1^inf is indeterminate form

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You were saying 1^inf=1 but that is false

dense wing Dec 28, 2021, 8:36 PM

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$L:=\lim_{x\to a}(f^g)(x) \ \ln(L)=\lim_{x\to a}g(x)\ln(f(x))$

wraith daggerBOT Dec 28, 2021, 8:36 PM

#

Mosh

clever jewel Dec 28, 2021, 8:36 PM

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I was saying

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1^x as x approaches infinity is 1

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isn't that true?

dense wing Dec 28, 2021, 8:36 PM

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yeah but you never have that

elfin hemlock Dec 28, 2021, 8:36 PM

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You don’t have 1

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You have something approaching 1

dense wing Dec 28, 2021, 8:36 PM

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you have like 1.001^(something not 1 WLOG)

elfin hemlock Dec 28, 2021, 8:36 PM

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elfin hemlock You were saying 1^inf=1 but that is false

So you were in fact saying this

clever jewel Dec 28, 2021, 8:37 PM

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ohhh

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I see

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alright, it's crystal clear now

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can't separately evaluate the paranthesis and then the exponent, they both affect each other

dense wing Dec 28, 2021, 8:38 PM

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Also: the limit definition of e that was put here also is a counterexample

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yes

elfin hemlock Dec 28, 2021, 8:38 PM

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If its like 2^inf yes you can

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The only problem is 1^inf

clever jewel Dec 28, 2021, 8:39 PM

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I see

#

well, thanks a lot @south tundra, @dense wing and @elfin hemlock ! :P

#

.close

cedar kilnBOT Dec 28, 2021, 8:40 PM

#

Channel closed

Closed by @clever jewel

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crimson sedge Dec 28, 2021, 10:29 PM

#

so i gotta minimise (a-1+1/a)(2-a+1/(3-a)) where 0<=a<=2

cedar kilnBOT Dec 28, 2021, 10:29 PM

#

crimson sedge so i gotta minimise (a-1+1/a)(2-a+1/(3-a)) where 0<=a<=2

crimson sedge Dec 28, 2021, 10:32 PM

#

ping me pls

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<@&286206848099549185>

main needle Dec 28, 2021, 10:40 PM

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there's a symmetry that makes (a-1+1/a) and (2-a+1/(3-a)) the same thing

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and the minimum will just be the center of the symmetry

crimson sedge Dec 28, 2021, 10:41 PM

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swagthink how do i show it tho

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like is there a formal way to write it

main needle Dec 28, 2021, 10:42 PM

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hmmm I'm not entirely sure

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something about the limit at a=0 and a=3 being +infinity, and the degree of the polynomial meaning it can only turn once

crimson sedge Dec 28, 2021, 10:46 PM

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junior iron Dec 28, 2021, 10:46 PM

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shift it to the origin and apply the definition of symmetry

crimson sedge Dec 28, 2021, 10:47 PM

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crimson sedge

swagthink it does make sense, just that idk how to convince someone that the minimum will be at the middle

crimson sedge Dec 28, 2021, 10:48 PM

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junior iron shift it to the origin and apply the definition of symmetry

so like x'=x+1.5?

crimson sedge Dec 28, 2021, 10:54 PM

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crimson sedge <:swagthink:724712868909416570> it does make sense, just that idk how to convinc...

oh oops, its symmetric so at the middle point it must have an extrema

#

yea thanks got it

#

.close

cedar kilnBOT Dec 28, 2021, 10:54 PM

#

Channel closed

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silk hazel Dec 29, 2021, 3:39 AM

#

I forgot how to this, Am i suppose to give the highest exponent or give the sum of degrees

cedar kilnBOT Dec 29, 2021, 3:39 AM

#

silk hazel I forgot how to this, Am i suppose to give the highest exponent or give the sum ...

crimson sedge Dec 29, 2021, 3:40 AM

#

silk hazel I forgot how to this, Am i suppose to give the highest exponent or give the sum ...

Sum.

silk hazel Dec 29, 2021, 3:40 AM

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So its 6?

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or 7

crimson sedge Dec 29, 2021, 3:40 AM

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silk hazel Dec 29, 2021, 3:40 AM

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Alright thanks

crimson sedge Dec 29, 2021, 3:40 AM

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Degree is the highest power after expanding.

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It is currently in a factored form.

silk hazel Dec 29, 2021, 3:40 AM

#

I see

#

thank you

#

.close

cedar kilnBOT Dec 29, 2021, 3:41 AM

#

Channel closed

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boreal mist Dec 29, 2021, 6:22 AM

#

i need help with this <@&286206848099549185>

cedar kilnBOT Dec 29, 2021, 6:22 AM

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boreal mist i need help with this <@&286206848099549185>

floral thistle Dec 29, 2021, 6:24 AM

#

don’t immediately ping helpers

south tundra Dec 29, 2021, 6:25 AM

#

When he was walking 800m NE, you could conclude that he walked 800/sqrt(2) due to N (and 800/sqrt(2) due to eE)

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So since he's walked 800/sqrt(2) due to N already and he wants to have walked 1000m

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He now would need to walk 1000 - 800/sqrt(2) in the direction of North

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(Feel free to rationalize the denominator in 800/sqrt(2))

boreal mist Dec 29, 2021, 6:26 AM

#

ok

cedar kilnBOT Dec 29, 2021, 6:41 AM

#

@boreal mist Has your question been resolved?

cedar kilnBOT Dec 29, 2021, 6:56 AM

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Channel closed

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ionic peak Dec 29, 2021, 7:29 AM

#

I need to map a function onto a torus

cedar kilnBOT Dec 29, 2021, 7:29 AM

#

ionic peak I need to map a function onto a torus

radiant topaz Dec 29, 2021, 7:32 AM

#

You want to map a function?

grizzled nacelle Dec 29, 2021, 7:35 AM

#

ionic peak I need to map a function onto a torus

Let $T$ be the torus defined with $[0,1]\times[0,1]$ (for example)
Define a function $f : \R^n \to T$
One such way to do this is to make the function 1-periodic

wraith daggerBOT Dec 29, 2021, 7:35 AM

#

kirby

ionic peak Dec 29, 2021, 7:36 AM

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radiant topaz You want to map a function?

Hi, yes I do

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I want to use stereographic projection to map the x and y values of a function onto a torus

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The circle going around the top being the y-axis, and the circle going around the sides being the x-axis

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So you can sorta see the whole infinite function in a finite space

cedar kilnBOT Dec 29, 2021, 7:53 AM

#

@ionic peak Has your question been resolved?

cedar kilnBOT Dec 29, 2021, 8:24 AM

#

@ionic peak Has your question been resolved?

#

Channel closed

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cedar kilnBOT Dec 29, 2021, 1:18 PM

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crimson sedge Dec 29, 2021, 1:20 PM

#

Define the function $g(x)=3x+2$. If $g(x)=2f^{-1}(x)$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $\dfrac{a+b}{2}$.

cedar kilnBOT Dec 29, 2021, 1:20 PM

#

crimson sedge Define the function $g(x)=3x+2$. If $g(x)=2f^{-1}(x)$ and $f^{-1}(x)$ is the inv...

wraith daggerBOT Dec 29, 2021, 1:20 PM

#

crabbo

crimson sedge Dec 29, 2021, 1:21 PM

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What do i start solving

#

what will help me find the answer?

bright surge Dec 29, 2021, 1:26 PM

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wraith dagger **crabbo**

find the inverse of f

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and then use it to find f itself

crimson sedge Dec 29, 2021, 1:32 PM

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bright surge find the inverse of f

ok

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@bright surge $f^{-1}(x)=\frac{x-b}{a}$

livid hound Dec 29, 2021, 1:43 PM

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x not y

bright surge Dec 29, 2021, 1:43 PM

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crimson sedge <@!684674576998858770> $f^{-1}(x)=\frac{x-b}{a}$

and that is equal to....

crimson sedge Dec 29, 2021, 1:43 PM

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livid hound x not y

ah right

wraith daggerBOT Dec 29, 2021, 1:43 PM

#

crabbo
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

crimson sedge Dec 29, 2021, 1:43 PM

#

bright surge and that is equal to....

that is the inverse of f(x)

bright surge Dec 29, 2021, 1:44 PM

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crimson sedge that is the inverse of f(x)

and it is equal to...

livid hound Dec 29, 2021, 1:44 PM

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and then use the information given about g(x)

crimson sedge Dec 29, 2021, 1:44 PM

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bright surge and it is equal to...

g(x)/2

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?

bright surge Dec 29, 2021, 1:45 PM

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crimson sedge g(x)/2

yeah

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so it is....

crimson sedge Dec 29, 2021, 1:46 PM

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$\frac{3x+2}{2}=\frac{x-b}{a}$

wraith daggerBOT Dec 29, 2021, 1:47 PM

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crabbo

bright surge Dec 29, 2021, 1:47 PM

#

wraith dagger **crabbo**

yep!

crimson sedge Dec 29, 2021, 1:53 PM

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bright surge yep!

now i know what $f^{-1}$ is equal to

wraith daggerBOT Dec 29, 2021, 1:53 PM

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crabbo

bright surge Dec 29, 2021, 1:53 PM

#

right

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and so you can find f, right?

crimson sedge Dec 29, 2021, 1:59 PM

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bright surge and so you can find f, right?

6x-2?

bright surge Dec 29, 2021, 2:00 PM

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crimson sedge 6x-2?

hmmm

no

livid hound Dec 29, 2021, 2:01 PM

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equate coefficients and constants to determine the values of a and b

crimson sedge Dec 29, 2021, 2:01 PM

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2x+2?

livid hound Dec 29, 2021, 2:02 PM

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forget about finding f(x)

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equate coefficients and constants to determine the values of a and b

crimson sedge Dec 29, 2021, 2:08 PM

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2=a

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-2=b

livid hound Dec 29, 2021, 2:08 PM

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how are you getting that?

crimson sedge Dec 29, 2021, 2:09 PM

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im equating coefficients and constants

livid hound Dec 29, 2021, 2:09 PM

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what exactly are you equating

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that leading you to those conclusions

crimson sedge Dec 29, 2021, 2:09 PM

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wraith dagger **crabbo**

based on this

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a=2

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b=-2

livid hound Dec 29, 2021, 2:10 PM

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how are you getting a=2

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how are you getting b-2

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from that

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show all work

crimson sedge Dec 29, 2021, 2:11 PM

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crimson sedge based on this

^^^^^^

crimson sedge Dec 29, 2021, 2:11 PM

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livid hound from that

#help-13 message

#

im matching

livid hound Dec 29, 2021, 2:12 PM

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show all work

crimson sedge Dec 29, 2021, 2:12 PM

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ig its wrong

crimson sedge Dec 29, 2021, 2:12 PM

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livid hound > equate coefficients and constants to determine the values of **a** and **b**

how exactly do you want me to do that?

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which expressions should i work with

livid hound Dec 29, 2021, 2:12 PM

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by actually equating the coefficients of x and the constant terms

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perhaps it would be easier to see if you split your fractions

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to explicitly identify the coefficients and constants

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just because a is the denominator on one side and there is a 2 in the denominator on the other side, that doesn't necessarily mean that a is 2

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nor is that in anyway equating the coefficients and/or constants

crimson sedge Dec 29, 2021, 2:16 PM

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livid hound perhaps it would be easier to see if you split your fractions

you mean split my fraction, by splitting the numerator and the denominator

livid hound Dec 29, 2021, 2:16 PM

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no

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explicitly express it as a sum of your x term and the constant term

crimson sedge Dec 29, 2021, 2:19 PM

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so

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3x-2=ax+b?

livid hound Dec 29, 2021, 2:21 PM

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no

crimson sedge Dec 29, 2021, 2:21 PM

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im confused

livid hound Dec 29, 2021, 2:21 PM

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you're overthingking this

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lets start with the elft side

crimson sedge Dec 29, 2021, 2:21 PM

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i just dont understand what you want me to do

livid hound Dec 29, 2021, 2:22 PM

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$\frac{3x+2}{2}$

wraith daggerBOT Dec 29, 2021, 2:22 PM

#

ℝamonov

livid hound Dec 29, 2021, 2:22 PM

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split that fraction and express that as a sum of your x term and a constant

crimson sedge Dec 29, 2021, 2:23 PM

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livid hound split that fraction and express that as a sum of your x term and a constant

there are no like terms

#

or

livid hound Dec 29, 2021, 2:23 PM

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who said anything about like terms