AP真题PartA of SectionII
SECTION II, Part A
Number of problems—3
A graphing calculator is required for some problems or parts of problems.
1. There is no snow on Janet’s driveway when snow begins to fall at midnight. From midnight to 9 A.M., snow
accumulates on the driveway at a rate modeled by ()cos7tftte= cubic feet per hour, where t is measured in hours since midnight. Janet starts removing snow at 6 A.M. ()6.t= The rate (),gt in cubic feet per hour, at which Janet removes snow from the driveway at time t hours after midnight is modeled by
(a) How many cubic feet of snow have accumulated on the driveway by 6 A.M.?
(b) Find the rate of change of the volume of snow on the driveway at 8 A.M.
(c) Let ()ht represent the total amount of snow, in cubic feet, that Janet has removed from the driveway
at time t hours after midnight. Express h as a piecewise-defined function with domain 09.t￡￡
(d) How many cubic feet of snow are on the driveway at 9 A.M.