(E) none of these
- 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
- 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
- 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