Math 121
Solutions
Radford University
1)
Factor
2)
Factor 
3)
Factor 
4)
Factor 
5)
Solve 
6)
Solve 
7)
Solve 
8)
Solve 
9)
Find the inverse of 
and graph f and f -1
11) Determine if the lines given by the equations are parallel or perpendicular.
12) Find the center and the radius of a circle with the given equation.
- 
13)
Graph 
No graph available
14)
Given 
, find 
15)
Find the slope of the tangent line to
passing through the
point at (1,-5)
16)
Given the revenue function 
, find the marginal revenue at x =100.
17)
Evaluate 
18)
Evaluate 
19)
Evaluate 
The limit does not exist
20)
Given 
, find the derivative of y.
21)
Given 
find 
22)
Find the first and second derivative of
23)
Given 
, find
24) Given 
, find
25) Discuss the continuity of 
26) Discuss the continuity of
27) Find the distance between the points (1,1) and (3,5)
28) Given , find f(3) and f(-1)
29) Given 
,find 
30) Use the first derivative test to find the intervals where the function is increasing or decreasing
|
Interval |
|
|
|
Test Value |
x=-1
|
x=1 |
|
Sign of
|
Positive
|
Positive |
|
Conclusion |
Increasing |
Increasing |
31) Find all extrema points of the function and discuss the concavity of the function.
|
Interval |
|
|
|
|
Test Value |
x=-1 |
x=1 |
x=11 |
|
Sign of
|
Positive |
Negative |
Positive |
|
Conclusion |
Increasing |
Decreasing |
Increasing |
Concavity Test
|
Interval |
|
|
|
Test Value |
x=4 |
x=6 |
|
Sign of
|
Negative |
Positive |
|
Conclusion |
Concave Down |
Concave Up |
Extrema Points: Relative Maximum at x = 0 and a Relative Minimum x = 10
31)
Solve
32)
Solve
33)
Evaluate
34) How money would you have in the bank account if you invested $12,000 in a saving account that pays 2% interest compounded quarterly for 10 years.
35) Find the accumulated balance on a principle of $20,000 placed in a saving account that earns 1.5% interest for 10 years compounded continuously.
36)
Given
, find
37)
Given
, find
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23)
31)
