I just completed all paractice test except these 2 question.
I try my best but I can not do anything.
Help me, please.
1. Find the area of the region that is enclosed by the rose r = 4cos3Θ
2. Find the area of the region that is inside the circle r = 3sinΘ and outside the cardioids r = 1+sinΘ
This is a 3 petal rose. To find the limits of integration, we can set
and find that
This gives the area of half a petal in the first quadrant. So we multiply by 2.
For the other one, we can find the region in the first quadrant and multiply by 2:
Where they intersect can be found by
As before,
![\int_{\frac{\pi}{6}}^{\frac{\pi}{2}}\left[-4cos(2t)-2sin(t)+3\right]dt](http://latex.codecogs.com/png.latex?\int_{\frac{\pi}{6}}^{\frac{\pi}{2}}\left[-4cos(2t)-2sin(t)+3\right]dt)
  |
LinkBack URL
About LinkBacks