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) 4
b)
c) 1
d)
e) The limit does not exist.
4) The given function f has a removable discontinuity at x = -5. Find A.
a) -15
b) -5
c) 5
d) -4
e) -25
5) If f ' (x) = which of the following is true about y = f (x)?
a) f has a point of inflection at x = 2 and a local maximum at x = 8.
b) f has a local maximum at x = 2 and a local minimum at x = 8.
c) f has a local minimum at x = 2 and a local maximum at x = 8.
d) f has a point of inflection at x = 2 and a local minimum at x = 8.
e) f has a local minimum at x = 2 and a point of inflection at x = 8.
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) The limit does not exist.
b) -10
c) 1
d) 0
e) 10
11) Given the following curve, find .

a)
b)
c)
d)
e)
12) Given that f(x) = 7sin2(4x), 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 (3x).
a) -3sin-1(3x)
b)
c)
d)
e)
15) Find
a)
b)
c)
d)
e)
16) Find the equation of the tangent line to the given curve at the point (0, 9).
a)
b)
c)
d)
e)
17) If g(f(x)) = x, g(5) = 2 and g'(5) = 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 = -4. 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 4 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) 36
b) 108
c) 72
d) 12
e) 216
25) The solution to the differential equation

with the initial condition y(0) = 3 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) 54
b) 98
c) 294
d) 162
e) 18
28) Using the information below, findwhen t = 0.
a)
b)
c)
d)
e)