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A family of super exponential functio nLet f (x) = (a ,

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 79E Chapter 4.3

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 79E

A family of super exponential functio? n?Let f ? (??x) =? (??a ?? , whe ? re? > 0. a. What is the do?main of f ? (in te? rms of ?a)? b. Describe the end b?ehavior of f ? (near the boundary of its domain). ? c. Compute f ? ?.? Then? graph f? ? and ? ? for? = 0.5, 1, 2, and 3. ? d. Show that f ? has a single local maximu? m at the point ?z t?hat ? satisfies z ? = (a? ?? ? ? ? z.)ln (?a ? ?z). e. Describe how 7. [found i?n part (d)| varies as ?a increases. ? ? Descr? ibe how f ? (?z) varies as a? increases.

Step-by-Step Solution:
Step 1 of 3

Solution 79AE Step1 Given that f(x)=(a x) where a>0 (a)...

Step 2 of 3

Chapter 4.3, Problem 79E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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A family of super exponential functio nLet f (x) = (a ,

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