AP CALCULUS AB
Test Booklet
Unit 3&4: End of Unit Quiz MCQs 21-22
1.
and
If
then the derivative of
at
is
(A)
(B)
(C)
(D)
(E)
2.
If
what is the value of
at the point
(A)
(B)
0
(C)
2
(D)
(E)
Undefined
3.
The table above gives selected values for a differentiable and decreasing function f and its derivative. If f-1 is the
inverse function of f, what is the value of (f-1)' (2)?
(A) -80
(B)
(C)
(D)
(E)
4.
Let f be the function defined by
. If
and
what is the value of
?
(A)
(B)
(C)
(D) 4
(E)
13
AP Calculus AB
Page 1 of 4
Test Booklet
Unit 3&4: End of Unit Quiz MCQs 21-22
5.
(A)
(B)
(C)
(D)
(E)
6.
If x2+y2=25, what is the value of
(A) (B)
-
(C)
(D)
(E)
Page 2 of 4
AP Calculus AB
at the point (4,3) ?
Test Booklet
Unit 3&4: End of Unit Quiz MCQs 21-22
7.
A particle moves along a straight line. The graph of the particle’s velocity
at time t is shown above for
where j, k, l, and m are constants. The graph intersects the horizontal axis at
and
and has horizontal tangents at
and
. For what values of t is the speed of the particle decreasing?
(A)
(B)
8.
(C)
and
(D)
and
(E)
and
A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the rate of 2 millimeters
per second. At the instant that the radius of the tube is 6 millimeters, the volume is increasing at the rate of
cubic millimeters per second. Which of the following statements about the surface area of the tube is true at this
instant? (The volume of a cylinder with radius and height is
. The surface area of a cylinder, not
.)
including the top and bottom of the cylinder, is
(A) The surface area is increasing by
square millimeters per second.
(B)
The surface area is decreasing by
square millimeters per second.
(C)
The surface area is increasing by
square millimeters per second.
(D) The surface area is decreasing by
square millimeters per second.
AP Calculus AB
Page 3 of 4
Test Booklet
Unit 3&4: End of Unit Quiz MCQs 21-22
9.
Let
of
be a differentiable function such that
and
. Which of the following is true about the approximation for
at
?
. The graph of is concave up on the interval
found using the line tangent to the graph
(A)
and this approximation is an overestimate of the value of
(B)
and this approximation is an underestimate of the value of
(C)
and this approximation is an overestimate of the value of
(D)
and this approximation is an underestimate of the value of
.
.
.
.
is
10.
(A)
(B)
0
(C)
1
(D)
(E)
11.
nonexistent
Boyle’s law states that if the temperature of an ideal gas is held constant, then the pressure of the gas and its
, where is a constant. Which of the following best describes the
volume satisfy the relationship
relationship between the rate of change, with respect to time , of the pressure and the rate of change, with respect to
time , of the volume?
(A)
(B)
(C)
(D)
Page 4 of 4
AP Calculus AB