31.
32.
33.
Part B
(D) Use your calculator to graph velocity against time. Speed is the
absolute value of velocity. The greatest deviation from v = 0 is at t = c.
With a calculator, c = 9.538.
(D) Because f ′ changes from increasing to decreasing, f ′′ changes from
positive to negative and thus the graph of f changes concavity.
(D) . We evaluate this definite integral by finding the area of
a trapezoid (negative) and a triangle: H(3) = − (2 + 1)(2) + (1)(2) =
−2, so the tangent line passes through the point (3,−2). The slope of the
line is H′(3) = f(3) = 2, so an equation of the line is y − (−2) = 2(x − 3).
