1. Consider the function f(x) = x"e-2x for x > 0, where n is some unknown constant greater than 2. A. Find the constant n for which the function f(x) attains its maximum value at x = 3. Make certain to justify that a maximum is attained. B. For n = 4, find all x values of points of inflection for the curve y = f(x).
1. Consider the function f(x) = x"e-2x for x > 0, where n is some unknown constant greater than 2. A. Find the constant n for which the function f(x) attains its maximum value at x = 3. Make certain to justify that a maximum is attained. B. For n = 4, find all x values of points of inflection for the curve y = f(x).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
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