Question

Find the area of the region that lies inside both curves r = A*sin(theta) and r = B*sin(theta), A > 0, B > 0?

Answer 1

what does your notes say

Answer 2

these are polar equations?

Answer 3

yes

Answer 4

...i am thinking...integration???

Answer 5

yes

Answer 6

i hate integration -____- we haven't taken that lesson yet. Sorry. Can't help :))

Answer 7

when does A sin t = B sin t

Answer 8

well with rectangular coordinates, you just integrate f(x) -g(x) from where they intersect
does it apply with polar coordinates as well?
not as familiar working with polar :|

Answer 9

nope

Answer 10

cool picture

Answer 11

thats very creative :)

Answer 12

haha thanks

Answer 13

try an example,

Answer 14

r = sin theta, r = 2 sin theta

Answer 15

here is Paul's notes http://tutorial.math.lamar.edu/Classes/CalcII/PolarArea.aspx

Answer 16

wait they would never intersect right?

Answer 17

they should

Answer 18

ha except at theta = npi

Answer 19

integral 1/2 (r1^2 - r2^2 )

Answer 20

where r = f(theta)

Answer 21

ok so i graphed r = sin theta, and r= 2 sin theta