Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)

3rd Edition

ISBN: 9780134996103

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Textbook Question

Chapter 8.2, Problem 82E

A family of exponentials The curves y = xe^−ax are shown in the figure for a = 1, 2, and 3.

a. Find the area of the region bounded by y = xe^−x and the x-axis on the interval [0, 4].
b. Find the area of the region bounded by y = xe^−ax and the x-axis on the interval [0, 4], where a > 0.
c. Find the area of the region bounded by y = xe^−ax and the x-axis on the interval [0, b]. Because this area depends on a and b, we call it A(a, b), where a > 0 and b > 0.
d. Use part (c) to show that A(l, ln b) = 4A(2, (ln b)/2).
e. Does this pattern continue? Is it true that A(1, ln b) = a²A(a, (ln b)/a)?

Chapter 8.2, Problem 82E, A family of exponentials The curves y = xeax are shown in the figure for a = 1, 2, and 3. a. Find

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Chapter 8.2, Problem 81E

Chapter 8.3, Problem 1QC

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Chapter 8 Solutions

Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)

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