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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
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AreaUse finite approximations to estimate the area under

Chapter 5, Problem 1E

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QUESTION:

Problem 1E

Area

Use finite approximations to estimate the area under the graph of the function using

a. a lower sum with two rectangles of equal width.

b. a lower sum with four rectangles of equal width.

c. an upper sum with two rectangles of equal width.

d. an upper sum with four rectangles of equal width.

Questions & Answers

QUESTION:

Problem 1E

Area

Use finite approximations to estimate the area under the graph of the function using

a. a lower sum with two rectangles of equal width.

b. a lower sum with four rectangles of equal width.

c. an upper sum with two rectangles of equal width.

d. an upper sum with four rectangles of equal width.

ANSWER:

Problem 1E

Use finite approximations to estimate the area under the graph of the function using

a. a lower sum with two rectangles of equal width.

b. a lower sum with four rectangles of equal width.

c. an upper sum with two rectangles of equal width.

d. an upper sum with four rectangles of equal width.

 between x=0 and x=1

                                                        Step by step solution

Step 1 of 4

(a)

Consider the length of each of the sub intervals.

Calculate the area under the graph of the function by using the lower limit with two rectangles.

Thus, the area under graph of the function is .

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