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 = -5. Find A.
a) -4
b) 5
c) -15
*d) -25
e) -5
5) If f ' (x) = which of the following is true about y = f (x)?
a) f has a local minimum at x = 6 and a local maximum at x = 9.
b) f has a local maximum at x = 6 and a local minimum at x = 9.
*c) f has a point of inflection at x = 6 and a local maximum at x = 9.
d) f has a point of inflection at x = 6 and a local minimum at x = 9.
e) f has a local minimum at x = 6 and a point of inflection at x = 9.
6) Find f ' (9), 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) -3
b) 3
*c) 0
d) 1
e) The limit does not exist.
11) Given the following curve, find .

*a)
b)
c)
d)
e)
12) Given that f(x) = 7sin2(2x), 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 (6x).
a)
b)
c)
d) -6sin-1(6x)
*e)
15) Find
a)
b)
c)
*d)
e)
16) Find the equation of the tangent line to the given curve at the point (0, 8).
a)
b)
*c)
d)
e)
17) If g(f(x)) = x, g(4) = 2 and g'(4) = 13, 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 2 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) 6
b) 18
c) 36
d) 108
*e) 54
25) The solution to the differential equation

with the initial condition y(0) = 4 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) 16
b) 48
c) 96
*d) 768
e) 256
28) Using the information below, findwhen t = 0.
a)
b)
*c)
d)
e)