Title: Chain Rule Task
Course: Calculus Videos Project Modules

Q: A rock is thrown into a lake, creating a circular ripple that travels outward. As the ripple travels, it displaces sediment on the bottom of the pond.

R(t) is the radius of the ripple at t seconds.

S(t) is the volume of displaced sediment at t seconds.

The total displacement is given by D(t) = S(R(t)).

Determine the average rate of change of D(t) with respect to t between t = 1 and t = 3 using the data below.

t | R(t) | S(t)
1 | 2 | 5
2 | 4 | 10
3 | 6 | 15
4 | 8 | 20
5 | 10 | 25
6 | 12 | 30
7 | 14 | 35
8 | 16 | 40
9 | 18 | 45
10 | 20 | 50
- 1.5 (Incorrect)
- 3 (Incorrect)
- 6 (Incorrect)
- 10 (Incorrect)
- 20 (Correct)
A: 20