3.(a)
(b)(c)4.Part B
TIME: 60 MINUTES
4 PROBLEMS
No calculator is allowed for any of these problems.
If you finish Part B before time has expired, you may return to work on Part A, but you may not use a
calculator.
The region R is bounded by the curves f(x) = cos(πx) − 1 and g(x) = x(2 −
x), as shown in the figure.
Find the area of R.
A solid has base R, and each cross section perpendicular to the x-
axis is an isosceles right triangle whose hypotenuse lies in R. Set up,
but do not evaluate, an integral for the volume of this solid.
Set up, but do not evaluate, an integral for the volume of the solid
formed when R is rotated around the line y = 3.Two autos, P and Q, start from the same point and race along a straight
road for 10 seconds. The velocity of P is given by feet
per second. The velocity of Q is shown in the graph.