Answer:
+2
Step-by-step 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.
