Question

1. An oil tanker had an accident, causing a spill in the shape of a circle. If the area of the spill is increasing at a rate of 5 ft2 per minute, how fast is the radius of the spill changing when the radius is 200 feet? Be sure to carefully show all steps so that I can clearly follow your thought process.

2. The velocity of an object at time t is given by v(t) = sin(πt) + 1/t + 2t. Determine the position function s(t) if s(1) = 2. Be sure to carefully show all steps so that I can clearly follow your thought process. Hint: recall that if position is s(t), then velocity is v(t) = s' (t).

Answer 1