Math 11 Final - Review Fall 2023
• Section 5.2
1. Suppose that $\int_0^4 f(x) dx = 7$, $\int_0^{10} g(x) dx = -5$, and $\int_0^4 g(x) dx = -2$, evaluate the following.
(a) $\int_4^{10} g(x) dx$
(b) $\int_0^4 [-2f(x) + 3g(x)] dx$
2. Given the graph in the figure below, showing the velocities of two motorboats (in miles per minute), answer the following. Boat 1 starts at $t = 0$, and Boat 2 begins a moment later, at $t = 2/3$.
