1) Find
a)
b)
c)
d)
*e)
2) The function g is defined by the formula
Find the slope of the tangent line at x = 1.
a)
b)
c)
*d)
e)
3) Find
a) The limit does not exist.
b) 1
c)
*d) 5
e)
4) The given function f has a removable discontinuity at x = -4. Find A.
a) -4
*b) -20
c) 4
d) -12
e) -3
5) If f ' (x) = which of the following is true about y = f (x)?
a) f has a point of inflection at x = 3 and a local minimum at x = 9.
b) f has a local maximum at x = 3 and a local minimum at x = 9.
c) f has a local minimum at x = 3 and a local maximum at x = 9.
d) f has a local minimum at x = 3 and a point of inflection at x = 9.
*e) f has a point of inflection at x = 3 and a local maximum at x = 9.
6) Find f ' (4), given that
a)
b)
c)
*d)
e)
7) Find the average value of the given function f over the interval [0, 4].
a)
b)
*c)
d)
e)
8) Find f ' (0), given that
*a)
b)
c)
d)
e)
9) Find f ' (1), given that
a)
b)
*c)
d)
e)
10) Find
*a) 0
b) 2
c) -2
d) 1
e) The limit does not exist.
11) Given the following curve, find .

a)
b)
c)
*d)
e)
12) Given that f(x) = 6sin2(5x), find f ''.
a)
*b)
c)
d)
e)
13) Find the midpoint rectangular approximation forusing 3 subintervals of equal length.
a)
b)
c)
*d)
e)
14) Find the derivative of the function y = cos-1 (4x).
*a)
b)
c)
d)
e) -4sin-1(4x)
15) Find
a)
b)
*c)
d)
e)
16) Find the equation of the tangent line to the given curve at the point (0, 7).
a)
b)
*c)
d)
e)
17) If g(f(x)) = x, g(7) = 2 and g'(7) = 10, then f '(2) is
a)
*b)
c)
d)
e)
18) Given that
find
*a)
b)
c)
d)
e)
19) Which of the following differential equations corresponds to the slope field shown in the figure below?

a)
*b)
c)
d)
e)
20) Given the following function, with x > 0, on which interval is the function decreasing?
a)
*b)
c)
d)
e)
21) Find the area of the region enclosed by the graphs of
and
a)
b)
*c)
d)
e)
22) Find
*a)
b)
c)
d)
e)
23) The region bounded by the following graph

and the x-axis, for 0 < x < , is rotated about the line y = -2. The volume of this solid can be represented by:
*a)
b)
c)
d)
e)
24) The side of a cube is expanding at a constant rate of 3 inches per second. What is the rate of change of the volume, in in3 per second, when the total surface area of the cube is 54 in2?
*a) 81
b) 27
c) 54
d) 9
e) 162
25) The solution to the differential equation

with the initial condition y(0) = 5 is
a)
b)
c)
d)
*e)
26) =
*a)
b)
c)
d)
e)
27) The position of a particle moving along a horizontal line is given by
What is the maximum speed of the particle for 0 < t < 10?
a) 108
*b) 324
c) 144
d) 576
e) 48
28) Using the information below, findwhen t = 0.
a)
*b)
c)
d)
e)