Send region S about the x-axis. Use washers; then ΔV = π(R^2 = r^2 ) Δx.
Symmetry allows you to double the volume generated by the first
quadrant of S, so V is
A calculator yields 108.177.
(A) The curve falls when f ′(x) < 0 and is concave up when f ′′(x) > 0.
(B) . To find g′(0), find x such that f(x) = 0. By inspection,
x = −1, so .