Consider the functions f(x) = x n and g(x) = x 1/n , where n 2
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Consider the functions f(x) = xn and g(x) = x1/n, where n ≥ 2 is a positive integer.
a. Graph f and g for n = 2, 3, and 4, for x ≥ 0.
b. Give a geometric interpretation of the area functionfor n = 2, 3, 4, . . and x > 0.
c. Find the positive root of An(x) = 0 in terms of n. Does the root increase or decrease with n?
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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