Question

Polar coordinates help.

Answer 1

A) graph the polar curve \(\large\color{blue}{{\rm r}^2=-8{\rm Cos}(2\theta)}\).

B) find the area enclosed by the curve.

Answer 2

I got the graph....
https://www.desmos.com/calculator/cxlouaqqbp

Answer 3

I tried wolfram and it couldn't compute the area

Answer 4

what do you find as your interval for integration? theta (t) goes from what to what?

Answer 5

I think from 0 to 2pi

Answer 6

guessing isnt going to work that well

plot if for 0, pi/4, pi/2 etc and see how it moves

Answer 7

this only works "real" for negative values of cos(2t) right?

Answer 8

0 to pi 4
is just the origin.

0 to pi/3
https://www.desmos.com/calculator/3bkh3spdsv

0 to pi/2
https://www.desmos.com/calculator/gkak0pfo32

Answer 9

and wait, do you want me to take from 0 to pi/2 and multiply the integral times 4.

Answer 10

?

Answer 11

like