Question

What is the maximum r-value for the polar equation r = -3 + 5 sin theta? Note that a maximum r-value is a maximum value of (r), the maximum distance form the pole.

A. 8
B. 5
C. 2
D. 3

Answer 1

a.8

Explanation:

I just got it right on edge

Answer 2

+2

Explanation:

The given equation, r = -3 + 5 sin theta, includes a sine term whose max value is +5 and whose min value is -5. We are interested in finding the max value that r can have. To obtain this, take that constant term, -3, and add teh max value of the sine function, which is +5. Net: 5 - 3 = 2.

The max value that r = -3 + 5 sin theta can take on is +2.