Barrons AP Calculus - David Bock

(dmanu) #1
(E) none of these


  1. The table shows the speed of an object (in ft/sec) during a 3-sec period. Estimate its
    acceleration (in ft/sec^2 ) at t = 1.5 sec.


time, sec 0 1 2 3

speed, ft/sec 30 22 12 0

(A) −17
(B) −13
(C) −10
(D) −5
(E) 17


  1. A maple-syrup storage tank 16 ft high hangs on a wall. The back is in the shape of the parabola
    y = x^2 and all cross sections parallel to the floor are squares. If syrup is pouring in at the rate of
    12 ft^3 /hr, how fast (in ft/hr) is the syrup level rising when it is 9 ft deep?


(A)

(B)

(C)

(D) 36

(E) 162


  1. In a protected area (no predators, no hunters), the deer population increases at a rate of
    where P(t) represents the population of deer at t yr. If 300 deer were originally
    placed in the area and a census showed the population had grown to 500 in 5 yr, how many deer
    will there be after 10 yr?
    (A) 608

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