Questions 1-3 relate to the following scenario:
CALCULATOR ALLOWED!
= 45sin (where
The amount of rainwater in a drainpipe is modeled by the equation R(t)
R is cubic feet of water and t is hours since it began raining. Consider the interval 0 < t < 10.
1. Determine R'(4) and specifically explain what it means in the context of this problem.
2. At time t = 2, is the amount of water in the pipe increasing or decreasing? Justify your
answer.
3. At what time is the amount of water in the pipe constant? Justify your answer.