Question

Question #4e7fa

Answer 1

`0 <=theta<=pi/3 and 5/3 pi<=theta<=2 pi`

Explanation:

`r=3 cos theta and r=2-cos theta`.

`3 cos theta =2-cos theta`
`4 cos theta = 2`
`cos theta = 1/2`

`theta = pi/3 = 60^0 and 5/3pi = 300^0` for `0 <= theta <= 2 pi`

If we plot a graph, we can find that the region cover the inside `r=3 cos theta` and `r= 2-cos theta` are `0 <=theta<=pi/3 and 5/3 pi<=theta<=2 pi` for `0<=theta<=2 pi`