Answers Explained
Part A
1.
(a)(b) It appears that the rate of change of f, while negative, is increasing. This implies that the graph
of f is concave upward.
(c) L = 7.6(0.7) + 5.7(0.3) + 4.2(0.5) + 3.1(0.6) + 2.2(0.4) = 11.87.
(d) Using disks ΔV = πr^2 Δx. One possible answer uses the left endpoints of the subintervals as
values of r:
V ≈ π(7.6)^2 (0.7) + π(5.7)^2 (0.3) + π(4.2)^2 (0.5) + π(3.1)^2 (0.6) + π(2.2)^2 (0.4)