Question

Please help I believe my answer is b but I'm not sure.

Answer 1

Given r = -3 + 4 cos 0

To find the when r is maximum

We will find:

`(dr)/(d\theta)`

`\begin{gathered} (dr)/(d\theta)=0+4\cdot(-\sin \theta)=0 \\ -4\sin \theta=0 \\ \sin \theta=0 \end{gathered}`

so, Theta = 0 or pi

So, when theta = 0

r = -3 + 4 cos 0 = -3 + 4 = 1

when theta = pi

r = -3 + 4 cos pi = -3 - 4 = -7

As r is the distance from the pole

So, the maximum distance occur at theta = pi

So, the answer is option d. π