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| PAGE: 268 | SET: Exercises | PROBLEM: 25 |
(a)
The function is 
.
Partition the interval 
into 
subintervals.
Width 
.
is increasing on the interval 
.
The minimum value on each subinterval occurs at the left endpoint.
The maximum value occurs at the right endpoint.
Right Endpoints: 
.
Upper sum using right endpoints:
The Upper sum is 
.
Graph the Upper sum using right endpoints.
.
(b)
Lower sum using left endpoints:
Left Endpoints: 
.
The lower sum is 
.
Sketch the Lower sum using left endpoints.
.gif)
.
(a) Using right endpoints, the upper sum is .
Graph:
.
(b) Using the left endpoints, the lower sum is .
Graph:
.
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