#help-0

1 messages ยท Page 68 of 1

alpine sable
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what happened?

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dont worry the 2 can help me

languid haven
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the confusion

alpine sable
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which one you solved?

languid haven
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ah wait

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shi

alpine sable
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what happened?

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I got like

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400 something

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and my friend got 391.60m

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I was asking for the oct

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but if you solved the hex its ok

exotic viper
alpine sable
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DUDE

exotic viper
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Anybody help ?

languid haven
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i got

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392

alpine sable
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how?

languid haven
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its for the 8 sides

alpine sable
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yeah

languid haven
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so

alpine sable
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ok wait

languid haven
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imagine this

alpine sable
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A = N x S x A over 2

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yeah?

languid haven
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nono ill make it easy for ya

alpine sable
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ok ok

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tell me

languid haven
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so then octagon is composed of 8 isoceles triagnle

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man i cant spell

alpine sable
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ok

languid haven
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clear till that much?

alpine sable
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yeah

languid haven
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so

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the value were

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22 cm across and

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10 m base yeah?

alpine sable
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yeah

languid haven
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ok

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then

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22/2 is 11

alpine sable
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wait we need to divide by 2?

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ooooh

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ye ye

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Im getting it

languid haven
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now from this we have two options

alpine sable
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yeah?

languid haven
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first is directly finding the area of an isoceles trisngle

alpine sable
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ok

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or?

languid haven
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or the right angled way

alpine sable
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I dont think I know that because im on seventh grade but ill try

languid haven
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oh

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wait

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then nvm

alpine sable
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?

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ok ok

languid haven
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ill just give you the octagon formula

alpine sable
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I need to do like pyhtagoras

languid haven
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what did your teacher give ya

languid haven
alpine sable
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ok

languid haven
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man you have to do the pythagorus man

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sorry dude

alpine sable
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so I was doing like c= 11 a= ? b=5

languid haven
languid haven
alpine sable
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oh ok

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then I got 146

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and I need to get the square root

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so its

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12.08

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and then I need A = 8 x 5 x 12.08 over 2

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im confused here

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could you help on this part?

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hello?

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omg dude why this always happens

languid haven
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ok so

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we have

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A = 8 /2 ah

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right?

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we have a as 10 right?

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SO a = 10

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that means

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A=(8/2) * 10 *h

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@alpine sable now whats left is to find h

alpine sable
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ok

languid haven
alpine sable
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ok it is good

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but wait

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arent we finding the apothem or other thing?

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because on all shapes my teacher told me just to find area and perimeter, the formula for area was A = N x S x A over 2 and for perimeter was P = N x S

languid haven
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hmmm

alpine sable
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?

languid haven
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what you need to do is find the area of one triangle

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octagon is just that triangle multiplied by 8

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it goes for all the gon shapes

alpine sable
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wait

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isnt like this

languid haven
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?

alpine sable
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like

languid haven
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nono its an isoceles triangle a triangle with two equal sides

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lol

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a is also 11

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wait no

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you did a right angles triangle

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solve it

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a = 13

alpine sable
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like this

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let me send you like procedure

languid haven
alpine sable
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this is easy

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look

languid haven
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okok

alpine sable
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its example

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I did it

languid haven
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thats for a 7 heptagon(7 sided)

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odd numbers are a pain

alpine sable
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ok let me send you what I was doing

languid haven
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sure

alpine sable
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ok wiat

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that far is how I im going

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hello?

languid haven
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ye just ping me lol

languid haven
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and b = 5

alpine sable
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ok

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but is it correct'

languid haven
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no

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the bottom part

alpine sable
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no way

languid haven
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the procedure is tho

alpine sable
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ok wait

languid haven
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@alpine sable

alpine sable
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no way thank you so much I FOUND IT

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I GOT 391.60

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m

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than u so much

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so so so so much

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I need to go tho

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but thank you so much bye

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if you have time can we solve the other just if you have time

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just in case you respond me give me 5 minutes becausei m helping my mom

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I will be back

lone heartBOT
#

@alpine sable Has your question been resolved?

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lone heartBOT
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viscid wren
lone heartBOT
viscid wren
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can i get help with 54?

lone heartBOT
#

@viscid wren Has your question been resolved?

keen plinth
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f can be thought of as the distance from (1, 0)

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and R is the upper half of a disc centred on the origin

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if you draw a diagram it should be clear where the maxima/minima are

lone heartBOT
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@viscid wren Has your question been resolved?

lunar bolt
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If you partially differentiate the equation inside the square root of f(x,y) with respect to x, you'll get 2x - 2. Then set this equal to zero, then you'll get x=1.

viscid wren
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thats only one of the extrema

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i need the absolute max and mins

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prof told us to solve the bounded region for y and then plug that into the original function but

lunar bolt
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Similarly, you can also differentiate wrt y to get 2y, if you equate that to 0, you get y=0

viscid wren
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yyup

keen plinth
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rewrite the inside of the sqrt as

lunar bolt
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Therefore, the point (1,0) is a point where there is either a minima or maxima

ocean sealBOT
keen plinth
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you can see that its minimised when x=1 and y=0

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and that its maximised when its furthest away from (1, 0) in the half-disc

viscid wren
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heres the work, sorry for the mess

keen plinth
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quadratics dont require taking derivatives to maximise/minimise

viscid wren
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well this was the method we were taught to find the abs max and mins so I don't really know what to say

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I used this exact same method for question 51 and had 0 issues

keen plinth
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you can plug in the boundary directly to find the maximum

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51 can likewise be done without differentiating

viscid wren
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I 100% get that but we have to work it out like this for whatever reason.

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like I asked if I could just plug in the boundary points and he said no lol

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anyways I'm gonna go ahead and go to bed.

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.close

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limpid moat
lone heartBOT
#

Please don't occupy multiple help channels.

limpid moat
#

.close

lone heartBOT
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wooden mantle
lone heartBOT
wooden mantle
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Is this correct?

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also the calculator says ln(x)^2 is 2ln(x)/x

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But isnt is 2/x?

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like the derivative of it

tacit arch
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chain rule

wooden mantle
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Oh right

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So then we get 0/0

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and can use lhopitals again

tall topaz
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Yes

wooden mantle
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Aight gotcha

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thanks

#

.close

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wooden mantle
lone heartBOT
wooden mantle
#

How should I go about solving it?

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Since I still got 2 constants in the equation

vale wigeon
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well you've used the initial condition y(0) = 0

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now use the other one

wooden mantle
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Oh do we get a systems of equation out of it?

vale wigeon
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yes

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i believe i told you about that before

wooden mantle
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Cant remember that on one go

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Especially when Im trying to practise all the other stuff in my calculus course at the same time

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Bound to forget some things here and there

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Anyways I reckon I can take it from here

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thanks

#

.close

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rigid tundra
#

Need help trying to rearrange a fraction in order to compute a limit

rigid tundra
#

Tried

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Multiplying by congugate

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For both expressions

lone heartBOT
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@rigid tundra Has your question been resolved?

gray isle
#

show work

rigid tundra
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Ok

gray isle
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don't unnecessarily expand stuff

rigid tundra
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I rearrange, but this new form still has same problem

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I see ,so something can cancel when I multiply conjugate

gray isle
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i would prefer that you don't, if you have questions make a channel

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consider conjugates of the numerator as well

rigid tundra
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Yh I tried aswell separately

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Could u do them at the same time

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Or will one succeed in cancelling

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Somewhere

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If u don't expand

gray isle
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only do the multiplications involving the difference of two squares

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and you should end up with a relatively easily identifiable common factor in the numerator and denominator

rigid tundra
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Ahh I see thanks

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I'll try now

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I saw the cancel ,thanksm

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How did u understand to multiply by both conjugates

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gray isle
#

standard idea for these types of problems

rigid tundra
#

I see thanks ,I have it in my tool kit ๐Ÿ™‚

gray isle
#

builds on the same principle of why you'd do the first conjugate

rigid tundra
#

Yh true

lone heartBOT
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woeful wind
#

Please can I have some help with 9i)

lone heartBOT
lone heartBOT
#

@woeful wind Has your question been resolved?

lone heartBOT
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@woeful wind Has your question been resolved?

woeful wind
#

<@&286206848099549185>

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@woeful wind Has your question been resolved?

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surreal sky
#

write in polar form:

my try:
(1 โˆ’ i)^3 ( โˆš 3 + i) / 4i โ‡”
(1-3i-3+i)(โˆš3 + i) / 4i โ‡”
(-2-2i)(โˆš3 + i) / 4i โ‡”
2(-1-i)(โˆš3 + i) / 4i โ‡”
(-1-i)(โˆš3 + i) / 2i โ‡”
(-โˆš3-i-โˆš3 x i+1) / 2i โ‡”
(-โˆš3-i-โˆš3 x i+1) x -2i / (2i x -2i)โ‡”
(2iโˆš3 - 2 - 2โˆš3+-2i) / 4 โ‡”
(- 2 - 2โˆš3)/4 + (2iโˆš3-2i) / 4 โ‡”
-(1+โˆš3)/2 + (โˆš3-1)i / 2

Polรคr form:
r =โˆš( (-(1+โˆš3)/2)2 +((โˆš3-1) / 2)2) = โˆš2
tanv = (โˆš3-1) / -(1+โˆš3) โ‡” v = arctan(โˆš3-2) <-- this i cant do by hand , is their a better way of going about it?

runic trench
#

multiply the fraction by the conjugate of 4i

surreal sky
#

from the start yea?

runic trench
#

yeah then combine and simplify

surreal sky
#

ill give it a try

#

thx ๐Ÿ˜„

#

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lone heartBOT
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surreal sky
#

.reopen

lone heartBOT
#

โœ…

surreal sky
#

well i gave it a try and got the same problem

#

(1 โˆ’ i)^3 ( โˆš 3 + i) / 4i โ‡”
(1 โˆ’ i)^3 ( โˆš 3 + i) x -4i / 16 โ‡”
(1-3i-3+i)(โˆš3 + i) x -4i / 16 โ‡”
(-2-2i)(โˆš3 + i) x -4i / 16 โ‡”
(-1-i)(โˆš3 + i) x -4i / 8 โ‡”
(4i - 4)(โˆš3 + i)/8 โ‡”
(i-1)(โˆš3 + i)/2 โ‡”
(โˆš3 x i-1-โˆš3-i)/2 โ‡”
-(โˆš3+1)/2 + (โˆš3 - 1)i / 2

Polar form:
r =โˆš( (-(1+โˆš3)/2)2 +((โˆš3-1) / 2)2) = โˆš2
tanv = (โˆš3-1) / -(1+โˆš3)

rigid smelt
#

what is the problem?

surreal sky
#

i cant do tanv = (โˆš3-1) / -(1+โˆš3) by hand

rigid smelt
#

what do you mean exactly?

#

you cant find the exact value?

surreal sky
#

pretty much

rigid smelt
#

that's because you cant, the exact value of arctan(that) is just itself

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it's not very nice, but you would have to deal with it

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however though, arctan(...) is not your argument

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so be careful about that

surreal sky
rigid smelt
#

finding v by taking arctangent on both sides will not give you the argument of your complex number

#

refer back to principal argument definition

surreal sky
#

thx for the clarifications ๐Ÿ‘

#

.close

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lavish bane
lone heartBOT
lavish bane
#

how do i do this?

#

i got -8.873 x 10^8
i multiplied 8.2 and -7.9
which was -64. something
then i did
-3-5
which was -8
then i divided -64.78 by 7.3
which was 8.873
then i did -8+16
which was 8
so it was 8.873 x 10^8

tacit bobcat
#

,calc 8.210^-3 * -7.910^5/(7.3*10^16)

ocean sealBOT
#

Result:

-8.8739726027397e-14
tacit bobcat
#

you are mixing up positive and negative parts

lone heartBOT
#

@lavish bane Has your question been resolved?

lavish bane
#

oh ok

#

thank you

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patent bluff
lone heartBOT
patent bluff
#

Ah sht wait how do u rotate

#

Forgot how to rotate but basically i need help with number 2.

#

Where my physics bois at?

sonic drum
patent bluff
#

.close

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craggy basin
#

hey good eve can someone give me a easy run down piecewise three sub-functions over a specific interval??

craggy basin
#

i just want to make a situated problem and answer it myself also

#

(i can't plagiarize)

#

something like this

mortal trellis
#

should that function have any requirements?

#

continuous? differentiable?

#

$f(x) = \begin{cases} x^2+4x+7 & x\leq -3 \ 5 \cos(x) & -3<x\leq 4 \ -7x & x > 4 \end{cases}$

ocean sealBOT
#

Denascite

craggy basin
#

and create three sub-functions over a specific interval.

#

thats all

worn hedge
#

i need help

#

its so hard

alpine sable
# worn hedge

serious questions only, you are occupying a channel that someone else could use.

lone heartBOT
#

@craggy basin Has your question been resolved?

lone heartBOT
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@craggy basin Has your question been resolved?

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#

@craggy basin Has your question been resolved?

alpine sable
lone heartBOT
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@craggy basin Has your question been resolved?

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earnest cradle
#

quick question. Why the anwer is infinity? shouldn't it be 0?

carmine reef
#

why 0?

#

limit is infinity because the function gets arbitrarily large when x is close to 1

earnest cradle
#

it seems more resonable to me 3/0 should be 0

#

maybe the + next to 0 changes smh

warped light
#

whats 3/(0.00001)

#

plug it into your calculator

earnest cradle
#

ahhhhhh now i understand

#

thanks

lone heartBOT
#

@earnest cradle Has your question been resolved?

pearl dragon
#

Quadratic equations using the Quadratic formula

#

Iam confused nkw

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jade imp
lone heartBOT
jade imp
#

In order to differentiate this, I know I need to use product rule

#

but

#

Can I treat this function as (6x^2sinx) (tanx)

#

or are all three pieces independent

tall topaz
#

You can but then youโ€™ll have to use product rule again anyway

jade imp
#

Yea i understand that but Its better to do one than two

tall topaz
#

Youโ€™ll see that $$\frac{d}{dx} f(x)g(x)h(x) = fโ€™(x)g(x)h(x) + f(x)gโ€™(x)h(x) +f(x)g(x)hโ€™(x)$$

ocean sealBOT
jade imp
#

okay

#

Let me work it out and then Ill let you know my answer

rustic cypress
#

good luck

jade imp
#

12xsinstanx+6x^2cosxtanx + 6x^2sinxsec^2x

#

Can that be simplified any more?

tall topaz
#

I guess you could factor out some stuff

jade imp
#

Can you? The only thing I can see you factoring out is a 6

tall topaz
#

tanx = sinx/cosx

jade imp
#

oh okay. I guess sec^2(x) = 1/cos^2(x) too right

tall topaz
#

Yes

jade imp
#

Okay. Ill factor later but this answer should suffice

#

Thanks man

#

have a good one

#

.close

lone heartBOT
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tall topaz
lone heartBOT
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night dagger
#

We will determine a linear mapping ๐‘“(๐‘ฅ,๐‘ฆ)=๐€โ‹…(๐‘ฅ / ๐‘ฆ) with ๐€โˆˆโ„2ร—2 which "turns the coordinate system around the origin" by 30 degrees anti-clockwise.
The task should be to determine the matrix ๐€
a) A turn of 30 degrees counter-clockwise transfers the vector (๐‘ฅ๐‘ฆ)=(10)
to ๐€โ‹…(10)=(((โˆš3)/2)/(1/2)). Where is the second coordinate direction mapped to, i.e. what is the image of (0/1) under the mapping f? (x and y direction, write โˆš3 as sqrt(3) if you need to.)

b) Based on information from part task a), it is now possible to determine matrix ๐€

night dagger
#

Task descrpition:
We will determine a linear mapping ๐‘“(๐‘ฅ,๐‘ฆ)=๐€โ‹…(๐‘ฅ / ๐‘ฆ) with ๐€โˆˆโ„2ร—2 which "turns the coordinate system around the origin" by 30 degrees anti-clockwise.

The final goal is to determine the matrix ๐€

Task:
a) A turn of 30 degrees counter-clockwise transfers the vector (๐‘ฅ/๐‘ฆ)=(1/0)
to ๐€โ‹…(1/0)=(((โˆš3)/2)/(1/2)). Where is the second coordinate direction mapped to, i.e. what is the image of (0/1) under the mapping f? (x and y direction, write โˆš3 as sqrt(3) if you need to.)

b) Based on information from part task a), it is now possible to determine matrix ๐€

#

Cant figure out how to do task B, does anyone know how I can do this?

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night dagger
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hollow zephyr
lone heartBOT
hollow zephyr
#

hello, I'm trying to calculate linear approximation of this data

#

that's the formulas I'm using

#

but the result is simply wrong

lone heartBOT
#

@hollow zephyr Has your question been resolved?

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quasi moth
#

Help

lone heartBOT
quasi moth
#

-x-3+2x

dim oasis
#

What are you trying to do?

quasi moth
#

Simplify

dim oasis
#

$-x - 3 + 2x$

ocean sealBOT
#

lexitorius

dim oasis
#

What are your like terms in this equation?

quasi moth
#

X

#

?

dim oasis
#

Yup the ones that have an x

#

So -x and 2x

quasi moth
#

1x

dim oasis
#

Bingo

#

Which can also just be written x

#

Are there any like terms for the -3?

quasi moth
#

Nah

dim oasis
#

$x - 3$

ocean sealBOT
#

lexitorius

dim oasis
#

There you are

quasi moth
#

Thank you

dim oasis
#

๐Ÿ‘

quasi moth
#

For teaching me how to do this

#

Byeee

#

.close

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pseudo fjord
#

hi

lone heartBOT
pseudo fjord
#

hi?

#

i have a question

#

how do u solve this

plain flame
#

just ask the question

pseudo fjord
#

3.9=(radical)2delta y over -9.8

#

??

#

anyone?

lone heartBOT
#

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lone heartBOT
#

@pseudo fjord Has your question been resolved?

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pseudo fjord
#

, reopen

#

reopen

#

.reopen

lone heartBOT
#

โœ…

pseudo fjord
#

is vertical shift and vertical translation the same thing

jagged cobalt
#

yeah

pseudo fjord
#

oh lol thanks

#

just wanted to make sure

jagged cobalt
#

.close

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โ€ข Type the command .close to free the channel when you're done.
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haughty tiger
lone heartBOT
haughty tiger
#

I m kind of lost on what steps to take on the first problem I can find the derivative of x= 121/6 after that I tried plugging it into the original function to find C and got 20959.91667 as the number but it aint right..

lone heartBOT
#

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haughty tiger
#

<@&286206848099549185>

#

.close

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โ€ข Type the command .close to free the channel when you're done.
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gray heart
lone heartBOT
gray heart
#

Is molar mass and formula mass asking for the same thing?

lone heartBOT
#

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vital fog
lone heartBOT
vital fog
#

pls help im stuck

#

<@&286206848099549185>

abstract fractal
#

!15m

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#

Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.

vital fog
#

oh sorry

#

.close

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gloomy spruce
#

problem: secx*cotx - sinx

lone heartBOT
naive crystal
#

You gotta simplify??

gloomy spruce
#

yep

naive crystal
#

So secx is the reciprocal of cosx

gloomy spruce
#

yep[

naive crystal
#

So secx is equal to??

gloomy spruce
#

1/cosx

naive crystal
#

Yes

gloomy spruce
#

and 1/cosx*cosx/sinx

naive crystal
#

Yes

#

Then cancel out

gloomy spruce
#

cancels to 1/sinx

#

which is cscx?

naive crystal
#

Yes

#

Ye but

gloomy spruce
#

1/sinx-sinx

naive crystal
#

Don't do that

#

Ye

#

Then take lcm

#

So it becomes??

gloomy spruce
#

sinx

#

1/sinx-sinx^2/sinx

naive crystal
#

On Simplifying the fraction you get??

gloomy spruce
#

1-sinx^2/sinx

#

and that is cosx^2/sinx

#

right

naive crystal
#

Yes

gloomy spruce
#

is that it

naive crystal
#

No

gloomy spruce
#

cosx/sinx *cosx

naive crystal
#

Cosx/sinx * cosx

gloomy spruce
#

so thats cotx*cosx

#

AND THEN THATS IT

naive crystal
#

Yes

#

Yep

gloomy spruce
#

alr thanks

#

have a great day

naive crystal
#

K

#

You too

gloomy spruce
#

.close

lone heartBOT
#
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urban pendant
#

help

lone heartBOT
urban pendant
#

how do I solve this? I am not sure what the T between the vectors means

buoyant kayak
#

the T stands for transpose, which means switching the rows and columns of the matrix

#

once you do that, it's just matrix multiplication

urban pendant
#

ah ok thanks

urban pendant
lone heartBOT
#

@urban pendant Has your question been resolved?

lone heartBOT
#

@urban pendant Has your question been resolved?

urban orchid
#

think about how matrix multiplication works. Yes, if you multiply a row vector by a column vector, you'll get a single number. What happens if you multiply a column vector by a row vector?

urban pendant
#

Oh hmm

lone heartBOT
#
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undone agate
lone heartBOT
undone agate
#

Why can we use SAS here?

#

It doesnt look like DCA is included angle on the bottom triangle

carmine reef
#

you're right, that looks improper

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#

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ashen portal
ashen portal
#

Its a polynomial

#

Finding the end behavior of the function

#

Gimme a min to paste it

pulsar aspen
#

Cubic?

ashen portal
#

its a polynomial function

pulsar aspen
#

By "end behavior", do you mean the limit of the function as it goes to infinity?

ashen portal
#

ye

pulsar aspen
#

It will diverge to $\infty$

ocean sealBOT
#

BlokirKominfo

ashen portal
#

mhm

pulsar aspen
#

Just look at the leading coefficient.

ashen portal
#

Actually i figured it out got stuck for like 20 minutes

#

Thanks for the help

lone heartBOT
#

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lone heartBOT
#
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jade canyon
#

Set A={ ( [-1,0] โˆฉ Q ) โˆช [0, 1] }, what is the unordered sum on A? ( โˆ‘x, xโˆˆA )

jade canyon
#

is it +โˆž or its undefined?

#

I know the sum on [-1, 1] is undefined, butโ€ฆ

lone heartBOT
#

@jade canyon Has your question been resolved?

jade canyon
#

<@&286206848099549185>

rose sigil
jade canyon
#

I only know that the uncountable sum of a non-negative set is the supremum of the sum over its finite subsets.

#

dont know when it have negative numbers

rose sigil
#

I don't know if there is any convention for that, but there might also not be any useful way to define it anyway

jade canyon
#

because its โˆž-โˆž?

rose sigil
#

wouldn't the negative numbers not affect the sum?

jade canyon
#

If it is a finite number of negative numbers, it has nothing to do with the order. If there are infinitely many negative numbers then the order will matter.

rose sigil
#

but the sup won't change

rose sigil
jade canyon
#

ok I was thinking that the cardinality of R is much more than Q, might this affects the result to be positive infinity?

rose sigil
#

well... let $$A= [-1,0]\cup ((0,1)\cap\bQ).$$ Then $$\sup\left{\sum_{x\in F}x:F\subseteq A, F \text{ is finite}\right}=\infty$$

#

actually let me rewrite that

ocean sealBOT
#

layla๐Ÿ’œ

jade canyon
#

How to prove that this formula holds even with negative numbers?

#

All books/articles only show that it holds only if it contains only non-negative numbers

rose sigil
#

the negative numbers don't affect the sup lol

rose sigil
#

they just don't define it for the case where there are non-negative numbers

rose sigil
#

what is still what?

jade canyon
#

ok for only non-negative number, its sup; but for only negative number, its inf

rose sigil
#

sure

jade canyon
#

while both non-negative and negative numbers are included, I didn't find any definition of summation

rose sigil
#

yea, that's what I meant with no convention lol

jade canyon
#

ok but for this, If the answer for any order of summation is positive infinity, then does it not exist or is positive infinity?

rose sigil
#

not sure what you're asking bearlain

keen plinth
#

finite sums from A can range anywhere from -infinity to +infinity

#

it just sorta doesnt make sense

jade canyon
#

uhm intuitively, this disordered sum should be positive infinity since the R <-> P(Q)โ€ฆ

#

idk

#

its no convention

#

like the uncountable sum on negative integers union positive real numbers

rose sigil
#

my intuition says there are more worthwhile things to think about than this ๐Ÿฅด

jade canyon
#

lol

lone heartBOT
#

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#
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alpine sable
#

could anyone help me with a linear equation?

alpine sable
#

i gotta find the y-int

#

3x - y/2 - 5 = 0

jade canyon
#

set x=0

#

solve for y

#

which is -y/2 - 5 =0

#

-y/2 = 5

#

-y = 10

#

y = -10

alpine sable
#

what happened to the 3

jade canyon
#

set x = 0

alpine sable
#

wait so

#

if its 3x

#

it just goes to 0

jade canyon
#

3 time 0 is 0

#

yeah

alpine sable
#

oohhh

#

ok thanks

#

i was a little confused

#

/close

#

.close

lone heartBOT
#
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alpine sable
#

how would u find y-int for 7y = 5 - 2x

lone heartBOT
alpine sable
#

just repeat the same thing

#

set x to 0 then solve for y

ornate moon
#

I think u need to make x = 0 or something like that?

alpine sable
#

i did solving for y and got 0.7

ornate moon
#

Can someone please help me with coordinate geometry? It makes me want to die

eternal lantern
#

Hey could anyone please help me answer C and D

alpine sable
#

did i do something wrong

alpine sable
#

but

#

on my sheet

#

wait no

#

donโ€™t write 0.7

#

7/10?

#

just write y = 5/7

#

on my sheet

#

there is an answer list

jade canyon
jade canyon
#

7y = 5

alpine sable
#

and 0.7 isn't a part of the asnwers

#

yeah

jade canyon
#

so y = 5/7

alpine sable
#

5/7 = approximately 0.7

#

but itโ€™s better to just write

#

5/7

#

there's no 5/7 either

#

then, whatโ€™s the answer?

#

idk

cobalt raptor
alpine sable
#

itโ€™s probably 5/7

#

maybe there's a mistake on the sheet then

jade canyon
cobalt raptor
#

๐Ÿ˜ฑ๐Ÿ˜ฑ๐Ÿ˜ฑ๐Ÿ˜ฑ

alpine sable
#

is their mooncake from final space?

#

cuz mine is

cobalt raptor
#

not sure lemme as her

#

ask*

alpine sable
alpine sable
#

probably

#

huh

#

that

#

on my calculator

#

i did 0.7

#

then clicked the S D button

#

and i got 7/10

#

yes

#

because

jade canyon
#

because

alpine sable
#

5/7 isnโ€™t 0.7

#

itโ€™s approximately 0.7

#

oh

#

would 7/10 be a valid answer?

#

nope

#

wait whattt

#

,w 5/7

alpine sable
#

the calc lied to me!

#

,w 7/10

alpine sable
#

7/10 is 0.7 while 5/7 is that

#

so that means

#

7/10 is also an answer?

jade canyon
#

try it

alpine sable
#

i can't really do that rn

#

no, but if the teacher accepts it Iโ€™ll be surprised

#

i'm not at school

#

i got a sheet

#

oh okay

#

and i'm at home trying to do it

#

if you write something like

#

โ‰ˆ 7/10

#

maybe the teacher will accept it

#

maybe

jade canyon
#

actuallyโ€ฆ

#

i dont think they will accept this

alpine sable
#

how come

#

yeah, thatโ€™s why I said maybe
but if this was me I would honestly just write 5/7

#

oh wait

#

so i redid the calculator

#

and i wrote every decimal point

#

and i did S D

#

and got 5/7

#

yeah itโ€™s 5/7

#

alr thanks for the help guys

#

np

#

:)

#

.close

lone heartBOT
#
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signal sable
#

So I'm doing a maths paper that is measuring the correlation between core affinity (how many cpu cores are being used) and CPU temp

signal sable
#

as well as

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GPU temp and CPU temp

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so 2 different correlations

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both GPU temp AND core affinity impact CPU temp

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as they both increase it, is there a way i can model their combined impacts onto a 3d graph of sorts?

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basically

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there will be a positive correlation between GPU temp and CPU temp, as well as core affinity and cpu temp

#

from this correlation, i can derive 2 trendlines, and 2 functions

#

then i wanna run a video game, and using those two functions, try to estimate CPU temperature using both gpu temperature AND core affinity

lone heartBOT
#

@signal sable Has your question been resolved?

lone heartBOT
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grave juniper
lone heartBOT
grave juniper
#

i really need help with this question i am so clueless on how to do it

analog falcon
#

I actually solved it uh one sec lemme find the solution

#

Correction: Let $\angle AQP=x$

ocean sealBOT
analog falcon
#

in the first line

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@grave juniper ^

grave juniper
#

OMG TYSM ILL HAVE A LOOK

analog falcon
#

npp! :)

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Oh so actually we don't need to join AP really, so you can skip that part

grave juniper
#

i see

grave juniper
analog falcon
#

let me unleash my artistry

grave juniper
#

lmao

analog falcon
#

So basically the exterior angle is equal to sum of interior opposite angles

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both are 180 minus the third angle

grave juniper
#

i see

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OHHHH

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OMG

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THIS IS SO SMART

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THANK YOU SO MUCH

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btw are you good in geometry?

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i have some more questions

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that i am struggling

analog falcon
analog falcon
grave juniper
#

i have to sleep right now because i have been working on the worksheet for the past 3 hours

analog falcon
#

here should be okay?

grave juniper
#

alright ill just send the rest of the question

#

but thank you so much tho

analog falcon
#

np!

grave juniper
#

just 2 more with 2 sub questions

ocean sealBOT
analog falcon
#

And now since they're similar, the second part can easily be proven.

#

โ†‘ This is for question 5 btw โ†‘

grave juniper
#

btw i dont think i understand (angle subtended by a chord to the centre of a circle is double the angle subtended by it on any other point of the cirlcle than the chord)

ocean sealBOT
#

n11
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

analog falcon
#

oop

#

ignores the warning

analog falcon
#

Ah its an arc actually not chord lmao

grave juniper
#

anyways thank you

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btw out of curiousity what year are you in?

limpid spade
#

First

grave juniper
#

wait is n11 your alt or smth?

limpid spade
#

No

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I answered your question

grave juniper
#

um how does that work???

limpid spade
#

?

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How answering a question works?

grave juniper
#

that wasnt my math question lmao

#

i was asking n11 because he was so good at explaining

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and he seems good at math

limpid spade
#

What a lad

grave juniper
#

but anyways ig i should close this channel now

#

.close

lone heartBOT
#
Channel closed

Closed by @grave juniper

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

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

robust oak
lone heartBOT
robust oak
#

how did we get here

mortal trellis
#

wdym

golden canyon
#

you just entered a really good approximation of the golden ratio

robust oak
#

its (-1 sqrt5) /2

golden canyon
#

maybe even the approximation the calculator used

robust oak
#

how is that the reciprocal of phi

mortal trellis
#

the golden ratio is a root of x^2-x-1=0

#

by vieta then the second root is -1/phi

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but you can also calculate that the other root is (1-sqrt 5)/2

robust oak
#

huh

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-1/phi?

mortal trellis
#

$\frac{1-\sqrt 5}{2} = -\frac{1}{\varphi}$, so $\frac{1}{\varphi} = -\frac{1-\sqrt 5}{2} = \frac{\sqrt 5-1}{2}$

ocean sealBOT
#

Denascite

robust oak
#

wouldnt x1 be (-1+sqrt5)/2

#

wait

#

whay

#

phi is (1+sqrt 5)/2 right

mortal trellis
#

the two roots of $x^2-x-1=0$ are $x_1=\frac{1+\sqrt 5}{2} =\varphi$ and $x_2 = \frac{1-\sqrt 5}{2}$

ocean sealBOT
#

Denascite

robust oak
#

o yeah

mortal trellis
#

by vieta $x_1x_2=-1$, so $\varphi x_2 = -1$

ocean sealBOT
#

Denascite

mortal trellis
#

or $x_2 = \frac{-1}{\varphi}$

ocean sealBOT
#

Denascite

mortal trellis
robust oak
#

ye

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but um

#

why is(sqrt 5 - 1)/2 the reciprocal of phi

mortal trellis
#

$\frac{\sqrt 5-1}{2} = -x_2 = -\frac{-1}{\varphi} = \frac{1}{\varphi}$

ocean sealBOT
#

Denascite

robust oak
#

maybe im just dumb

#

is it just in the rules or smth

#

or my brain is just fried

tall topaz
#

Simplify
$\frac{1}{\frac{1+\sqrt{5}}{2}}$

ocean sealBOT
robust oak
#

thats 1/phi right

tall topaz
#

Yes simplify that

robust oak
#

huh

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isnt it just 2/(1+sqrt5)

tall topaz
#

Yes then multiply top and bottom by the conjugate

#

So $1-\sqrt 5$

ocean sealBOT
robust oak
tall topaz
#

Conjugate of $1+\sqrt 5$

ocean sealBOT
tall topaz
#

You want to rationalise the fraction

mortal trellis
#

or as a third method, if you know that $\varphi$ is the root of $x^2-x=1$, dividing by $x$ gives $x-1=\frac 1 x$, which is exactly what we want. $\varphi-1 = \frac 1 \varphi$

ocean sealBOT
#

Denascite

robust oak
#

hmm

#

my brain is not braining

#

um

#

i dont

#

understand

#

๐Ÿ˜…

robust oak
#

we conjugate 1+sqrt5

#

how

tall topaz
#

$\frac{2}{1+\sqrt{5}} = \frac{2}{1+\sqrt{5}} \times \frac{1-\sqrt 5}{1-\sqrt 5}$

ocean sealBOT
robust oak
#

so

robust oak
#

1-5

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2(1-sqrt5)

#

wait

#

2(1-sqrt5)/-4

#

so

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minus?

#

ooohhhh

#

oohhhhhhhhhhhhhhhh

#

conjugate

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making the denominator not have sqrts

#

oh

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my first language is not english so

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thank you

tall topaz
robust oak
#

i am no longer smal brain anymore

#

do we close this channel

tall topaz
#

Sure

#

.close

lone heartBOT
#
Channel closed

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โ€ข Type the command .close to free the channel when you're done.
โ€ข Be polite and have a nice day!

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

alpine sable
#

Really having time with finding rates change

gray isle
#

try plotting the one in the bottom right

lone heartBOT
#

@alpine sable Has your question been resolved?

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โ€ข Type the command .close to free the channel when you're done.
โ€ข Be polite and have a nice day!

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

pseudo shuttle
#

Can someone please explain to me how to represent irrational numbers on a number line (Class 9 Math)

vale wigeon
#

depends on what kind of irrational

#

if it's made from integers or rational numbers by means of square roots then you can construct it exactly with some pythagoras bullshit

#

otherwise youll have to make do with a decimal approximation

pseudo shuttle
#

but how to take the units

vale wigeon
#

wdym by "take the units"?

#

...can you just send the entire question

#

will be easier this way

pseudo shuttle
#

represent root 2, 3 and 5 on a number line

prime badge
#

maybe you're not required to draw the triangles?

gray isle
#

yeh, use right triangles and pythagoras as ann mentioned

prime badge
#

just put it approximately betwee 1 and 1.5

pseudo shuttle
#

and what else about the โˆš3 and โˆš5?
what measure should i take

#

?

gray isle
#

if you just want an approximation, just use a ruler and calculator

prime badge
#

because you don't draw circle arcs to represent 0.5 do you

pseudo shuttle
#

but tomorrow's my exam

#

lmao

pseudo shuttle
gray isle
#

,calc sqrt(3)

ocean sealBOT
#

Result:

1.7320508075689
gray isle
#

,calc sqrt(5)

ocean sealBOT
#

Result:

2.2360679774998
pseudo shuttle
#

this is the mesaure i shoul take

gray isle
#

if you just want an approximation, just use a ruler and calculator

pseudo shuttle
#

but i can't

#

use a calculator

gray isle
#

if you want something as close to the desired value as humanly possible with the tools available, draw triangles and use compass

pseudo shuttle
#

ohk

#

and what do i do if i have to represent a decimal

#

eg โˆš9.3

gray isle
#

then its gonna be painful

#

like it really depends what you're being required to do

pseudo shuttle
#

represent this on a number line
with using a ruler and a compass

gray isle
#

doubt you'd be required to plot sqrt(9.3)

pseudo shuttle
#

but it really comes in a lot of our book questions

vale wigeon
#

,w a^2 + b^2 = 930 integer solutions

vale wigeon
#

,w a^2 + b^2 = 929 integer solutions

pseudo shuttle
#

lmao

pseudo shuttle
#

but this is not my problem

#

aa

vale wigeon
#

well there you have it ig. you can plot sqrt(929) using a 20 by 23 right triangle, then plot sqrt(930) using a 1 by sqrt(929) right triangle, then divide that into 10 equal parts and have one of them be sqrt(930/100) a.k.a. sqrt(9.3)

vale wigeon
#

it's hacky but it works ยฏ_(ใƒ„)_/ยฏ

pseudo shuttle
#

nah this not the method we used to do

vale wigeon
#

OH SORRY YOU DIDNT SPECIFY A METHOD TO ADHERE TO

gray isle
#

you already had a method outlined for you?

pseudo shuttle
#

using a ruler and a compass

#

representing โˆš9.3 on a number line

pseudo shuttle
gray isle
#

what method were they using

pseudo shuttle
#

draw an arc

gray isle
#

and then?

pseudo shuttle
#

you have โˆš9.3

gray isle
#

no?

pseudo shuttle
#

but i don't understand that HOW!?

gray isle
#

because you don't get sqrt(9.3) from what you described in two lines?

#

can you show exactly what the book is saying?

empty cedar
#

by that logic sqrt of 9cm is 9 cm

pseudo shuttle
#

by this method ig

gray isle
#

yeh.. that's pythagoras

#

as Ann described

#

there's no nice way to apply that for sqrt(9.3)

pseudo shuttle
#

yea

#

but on a decimal?

#

will Pythagoras work?

gray isle
#

there's no nice way to do it

pseudo shuttle
#

:(

gray isle
#

hence why Ann had to go through all those hoops

well there you have it ig. you can plot sqrt(929) using a 20 by 23 right triangle, then plot sqrt(930) using a 1 by sqrt(929) right triangle, then divide that into 10 equal parts and have one of them be sqrt(930/100) a.k.a. sqrt(9.3)

pseudo shuttle
#

ayo wat de fok is this sheit

gray isle
#

and dividing into 10 is also a pain depending on how much precision is expected

pseudo shuttle
#

the solution?

#

.close

lone heartBOT
#
Channel closed

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Remember:
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โ€ข Type the command .close to free the channel when you're done.
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Read #โ“how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

gray isle
#

1 sec

lone heartBOT
gray isle
#

double checking whether that actually works

pseudo shuttle
#

ohh