Student’s Name:
MAC231117, Review Set for Chapter 5
5.1
: 4, 5, 7
4) The area
A
of the region
S
that lies under the graph of the continuous function
is the limit of the sum of the areas of approximating rectangles.
Use this definition to find an expression for the area under the graph of
f
as a
limit. Do not evaluate the limit.
5) The area
A
of the region
S
that lies under the graph of the continuous function
is the limit of the sum of the areas of approximating rectangles.
Use this definition to find an expression for the area under the graph of
f
as a
limit. Do not evaluate the limit.
7) The area
A
of the region
S
that lies under the graph of the continuous function
is the limit of the sum of the areas of approximating rectangles:
(a) Use this definition to find an expression for the area under the curve
y
=
x
3
from 0 to
1
as a limit.
(b) Use the following formula for the sum of the cubes of the first integers
to evaluate the limit in part (a).
Page
1 of 5
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View Full DocumentStudent’s Name:
MAC231117, Review Set for Chapter 5
5.2
: 4, 6, 7, 8, 13, 16
4)
Express the integral as a limit of Riemann sums. Do not evaluate the limit.
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 Fall '08
 Noohi
 Calculus, Derivative, Angles, Continuous function, oil leaks, Review Set

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