Name: 
 

04-03-Area Approximation


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Given the graph of f(x), determine the value of   mc001-1.jpg
mc001-2.jpg
a.
2
d.
10
b.
4
e.
12
c.
8
f.
14
 

 2. 
Given the graph of f(x), determine the value of   mc002-1.jpg
mc002-2.jpg
a.
2
d.
8
b.
4
e.
10
c.
6
f.
12
 

 3. 

Use left-hand endpoints with n = 6 equal width rectangles to approximate mc003-1.jpg


mc003-2.jpg

Which of the below choices would best represent the estimate?
a.
10.535
d.
12.916
b.
11.425
e.
15.414
c.
12.106
f.
None of These Choices
 

 4. 

Use midpoints with n = 4 equal width rectangles to approximate mc004-1.jpg


Which of the below choices would best represent the estimate?
mc004-2.jpg

a.
– 0.6536
d.
1.5173
b.
0.2969
e.
1.9857
c.
0.3418
f.
None of These Choices
 

 5. 
Use the graph below.  Estimate  mc005-1.jpg with 4 equal subintervals using right-hand endpoints
mc005-2.jpg
a.
22
d.
30
b.
24
e.
None of These Choices
c.
26
 

 6. 
Suppose we wish to estimate the area between the x-axis and the graph of mc006-1.jpg for  mc006-2.jpg.  What is the value of the estimate using 3 approximating equal width rectangles and using the right-hand end points to determine the height of the rectangles?
a.
7
d.
14
b.
8
e.
16
c.
10
 

 7. 

Use the trapezoid rule with n = 4 equal width trapezoids to approximate:

mc007-1.jpg


Which of the below choices would best represent the estimate?
mc007-2.jpg

a.
1.1592
d.
1.5233
b.
1.3865
e.
1.6138
c.
1.4161
f.
None of These Choices
 

 8. 
Suppose we wish to estimate the definite integral:

mc008-1.jpg. 

x
0
1
2
3
4
f(x)
-2
3
3
2
1

Using the table of values above, what is the value of the estimate using 4 approximating equal width rectangles and using the left-hand end points to determine the height of the rectangles?
a.
6
d.
9
b.
7
e.
10
c.
8
f.
None of These Choices
 



 
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