# AP Calculus Practice ExamBC Version - Section I - Part B

Calculators ARE Permitted On This Portion Of The Exam
17 Questions - 50 Minutes

1) The limit of the sequence
as n approaches is -3. What is the value of c?
a)
b)
c)
d)
e)
2) If
and y = 3 when x = -2, then what is y?
a)
b)
c)
d)
e)
3) The graph of the derivative of f is given below.
Which of the following is FALSE about the function f?
a) f is increasing on [1,4].
b) f is concave down on [1,5/2].
c) f is concave down on [-3,0).
d) f is not differentiable at 0.
e) The funciton is constant on (-,-3].
4) Determine

a)
b)
c)
d)
e)
5) Give the area that lies below the x-axis and is contained within the region bounded by the polar curve

a)
b)
c)
d)
e)
6) Give the error that occurs when the area between the curve
and the x-axis over the interval [0,1] is approximated by the trapezoid rule with n = 4.
a)
b)
c)
d)
e)
7) Let
Determine f(2/3).
a)
b)
c)
d)
e)
8) Give the length of the curve determined by
for t from 0 to 2.
a)
b)
c)
d)
e)
9) Particles A and B leave the origin at the same time and move along the y-axis. Their positions are determined by the functions
for t between 0 and 8. What is the velocity of particle B when particle A stops for the first time?
a)
b)
c)
d)
e)
10) The base of a solid is the region in the xy plane enclosed by the curves
over the interval [0,/4]. Cross sections of the solid perpendicular to the x-axis are squares. Determine the volume of the solid.
a)
b)
c)
d)
e)
11) Give the minimum value of the function
for x > 0.
a)
b)
c)
d)
e)
12) Select the TRUE statement associated with the function

a) The graph of the function passes through the origin.
b) The function does not have a horizontal asymptote.
c) The function has a vertical asymptote at x = 0.
d) The graph of the function is symmetric about the x-axis.
e) The graph is always concave up.
13) The function g is the derivative of
What is the derivative of the inverse of g at x = 3?
a)
b)
c)
d)
e)
14) The half-life of radium-226 is 1625 years. What percentage of a given amount of the radium will remain after 1000 years?
a) 65.34%
b) 65.20%
c) 65.25%
d) 65.35%
e) 65.30%
15) The function f satisfies the equation
Evaluate f(/3).
a)
b)
c)
d)
e)
16) A rectangular box with square base and top is to be made to contain 2160 cubic feet. The material for the base costs 30 cents per square foot, the material for the top costs 50 cents per square foot, and the material for the sides costs 20 cents per square foot. Give the length of one side of the base (in feet) so that the cost is minimized.
a)
b)
c)
d)
e)
17) Which expression represents the volume of the solid generated when the region between the curves
over the interval [0,2] is rotated around the x-axis?
a)
b)
c)
d)
e)