double integral in polar coord | Mathematics | Page 1

twilit berry Sep 25, 2024, 12:56 PM

#

why he get the boundries of teta as 0 to pi

wispy gateBOT Sep 25, 2024, 12:56 PM

#

dense prawn Sep 25, 2024, 1:56 PM

#

twilit berry why he get the boundries of teta as 0 to pi

Basically r = 2cos(theta) goes through all possible radii from -2 to 2 within 0 to pi already

twilit berry Sep 25, 2024, 2:32 PM

#

i just understand the question actually, its bcz asked above xy plane

#

but thank you for the helping

dense prawn Sep 25, 2024, 2:34 PM

#

twilit berry i just understand the question actually, its bcz asked above xy plane

it's because what

modest oak Sep 25, 2024, 2:36 PM

#

twilit berry i just understand the question actually, its bcz asked above xy plane

This is irrelevant to the integral being computed

twilit berry Sep 25, 2024, 4:03 PM

#

dense prawn it's because what

could you check it the question sentence

dense prawn Sep 25, 2024, 4:04 PM

#

twilit berry could you check it the question sentence

which question?

twilit berry Sep 25, 2024, 4:05 PM

#

question in the photo that i sent here

dense prawn Sep 25, 2024, 4:05 PM

#

I replied lol

dense prawn Sep 25, 2024, 4:06 PM

#

dense prawn Basically r = 2cos(theta) goes through all possible radii from -2 to 2 within 0 ...

.

twilit berry Sep 25, 2024, 4:06 PM

#

yea i saw it

#

but its not the answer

dense prawn Sep 25, 2024, 4:07 PM

#

if you say so

twilit berry Sep 25, 2024, 4:07 PM

#

when i read the question again i got the point

#

the boundries are x^2 + y ^2 =2x and above xy-plane

dense prawn Sep 25, 2024, 4:08 PM

#

play with this

twilit berry Sep 25, 2024, 4:09 PM

#

what

dense prawn Sep 25, 2024, 4:09 PM

#

https://www.desmos.com/calculator/qsezzbntrh

Desmos

Desmos | Graphing Calculator

#

You will see that the circle did one rotation within (0,pi)

#

that is because as I said cosine reaches radii between -2 and 2 within 0 to pi

twilit berry Sep 25, 2024, 4:10 PM

#

i already drew the graph

dense prawn Sep 25, 2024, 4:10 PM

#

it's more about understanding why 0 to pi is sufficient here

twilit berry Sep 25, 2024, 4:11 PM

#

i thought same thing for first

#

but if you check the photo again the teta limits are 0 and pi

#

that's the above xy plane

pastel pondBOT Sep 25, 2024, 4:12 PM

#

bacc

dense prawn Sep 25, 2024, 4:12 PM

#

twilit berry the boundries are x^2 + y ^2 =2x and above xy-plane

above the plane implies half circle which would be from 0 to pi btw

#

So essentially

twilit berry Sep 25, 2024, 4:12 PM

#

i know

pastel pondBOT Sep 25, 2024, 4:12 PM

#

bacc

twilit berry Sep 25, 2024, 4:13 PM

#

i asked also chatgpt and i dunno how trustable is ir but its agree with me

#

lol

dense prawn Sep 25, 2024, 4:14 PM

#

twilit berry i asked also chatgpt and i dunno how trustable is ir but its agree with me

because it likes you

#

also i don't what you are saying

#

i try to understand

twilit berry Sep 25, 2024, 4:16 PM

#

lemme to draw what im saying

#

brb

#

rn_image_picker_lib_temp_dc3bf5c5-7d51-4f65-ba0e-a1267fa61317.jpg

#

btw r is 2cos(teta)

#

@dense prawn

dense prawn Sep 25, 2024, 4:22 PM

#

twilit berry

,rcw

pastel pondBOT Sep 25, 2024, 4:22 PM

#

dense prawn Sep 25, 2024, 4:22 PM

#

twilit berry btw r is 2cos(teta)

so what is your doubt?

twilit berry Sep 25, 2024, 4:23 PM

#

for first i didn't get it bcz he scaled the whole of in this circle

#

but as i read the question again i got the problem

#

so everything is ok now, thx for your helping

dense prawn Sep 25, 2024, 4:25 PM

#

😂

twilit berry Sep 25, 2024, 4:26 PM

#

¯_(ツ)_/¯

#double integral in polar coord