Download Basic Calculus Short Form

1
Find an equation of the tangent line to the parabola
(2, 18).
a.
at the point
b.
c.
d.
e.
2
Find the domain of the function
a.
b.
c.
d.
e.
6 Find f (a + h) - f (a) for the function f (x) = 9x + 7. Simplify your answer.
9h + 7
a.
9h
b.
9a-9h
c.
7a + 9h
d.
7h + 9
e.
7
For the supply equations
where x is the quantity
supplied in units of a thousand and p is the unit price in dollars, determine the price at
which the supplier will make 3 units of the commodity available in the market.
p = $99
a.
p = $93
b.
p = $63
c.
p = $9
d.
p = $45
e.
12
Find the limit.
a.
b.
c.
d.
e.
the limit does not exist
14
Find the limit if it exists.
a.
b.
c.
d.
e.
15
Use the graph of the function f to find
, if the limit exists.
a.
and
b.
c.
d.
18 Find the one-sided limit, if it exists.
a.
b.
c.
d.
e.
The limit does not exist
21 The function P, whose graph follows, gives the prime rate (the interest rate banks
charge their best corporate customers) as a function of time for the first 32 wk during a
year. Determine the values of t for which P is discontinuous.
a.
b.
c.
d.
24
Let
a.
b.
c.
d.
. Find the tangent line at the point
26
Find the derivative of the function:
a.
b.
c.
d.
27
Let
a.
. Find
b.
c.
d.
29
Find the derivative of the function:
a.
b.
c.
d.
.
.
30
Find the derivative of the function:
a.
b.
c.
d.
33
Find the derivative of the function:
a.
b.
c.
d.
34
Find the derivative of the function:
a.
b.
c.
d.
35
Find the derivative of the function:
a.
b.
c.
d.
36
Find the derivative of the function:
a.
b.
c.
d.
41 Custom Office makes a line of executive desks. It is estimated that the total cost for
making x units of their Senior Executive model is
dollars/year.
Find the average cost function C . Find the marginal average cost function C '
a.
C =
0.0001x, C ' =
b.
C =
0.0002 x, C ' =
c.
C =
0.0001x, C ' =
d.
C =
0.0001x, C ' =
48
Find the derivative
a.
from
b.
c.
d.
52 You are given the graph of a function f. Determine the intervals where f is increasing,
constant, or decreasing.
a.
and increasing on
Decreasing on
b.
and increasing on
Decreasing on
c.
Decreasing on
and increasing on
54 Find the interval(s) where the function is increasing and the interval(s) where it is
decreasing.
a.
b.
c.
d.
Increasing on
Increasing on
Increasing on
Increasing on
, decreasing on
, decreasing on
, decreasing on
55 Find the relative maxima and relative minima, if any, of the function.
a.
Relative maximum: f(5) = - 25 No relative minimum
b.
No relative maximum Relative minimum f(5) = - 25
c.
Relative maximum: f(5) = 25 Relative minimum f(0) = - 5
d.
No relative maxima or minima.
57 Determine where the function is concave upward.
a.
b.
c.
d.
58 Find the inflection points, if any, of the function.
a.
b.
c.
d.
(1, - 12)
(0, - 20)
(8, - 12)
none
59 Find the domain of the function
a.
b.
c.
d.
e.
65
Find the limit:
a.
b.
c.
d.
the limit does not exist
x+3 .
88
Find the first derivative of the function:
a.
9
1
2 ( 3 - 7u) 2
b.
1
1
(3 - 7 u) 2
c.
7
1
2 ( 3 - 7u) 2
d.
7
2 ( 3 - 7u)
e.
7
9 ( 3 - 7u)
101
Find the derivative of:
a.
b.
c.
d.
102
Find the derivative of:
a.
b.
c.
d.
1
2
1
2
105
Find the derivative of:
a.
b.
c.
d.
107
Find the second derivative of:
a.
b.
c.
d.
112
Find the derivative of the function:
a.
b.
c.
d.
114
Find the derivative of:
a.
b.
c.
d.
115
Find the derivative of:
a.
b.
c.
d.
116
Find the derivative of:
a.
b.
c.
d.
122
Find the indefinite integral.
a.
b.
c.
d.
123
Find the indefinite integral.
a.
b.
c.
d.
124
Find the indefinite integral.
a.
b.
c.
d.
130
Find the indefinite integral.
a.
b.
c.
d.
131
Find the indefinite integral.
a.
b.
c.
d.
132
Find the indefinite integral.
a.
b.
c.
d.