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Consider the functions x60 (1.0001)" (1.0001)* + x60 f(x) = g(x) = %3D (1.0001)=' where we assume that 0 < x. (a) Using elementaty calculus find the value of a for which f(x) takes on its absolute maximum and g(x) takes on its absolute minimum. (b) Find the maximum value of f(x) to 5 significant digits, and the minimum value of g(x) to 5 significant digits.

Consider the functions x60 (1.0001)" (1.0001)* + x60 f(x) = g(x) = %3D (1.0001)=' where we assume that 0 < x. (a) Using elementaty calculus find the value of a for which f(x) takes on its absolute maximum and g(x) takes on its absolute minimum. (b) Find the maximum value of f(x) to 5 significant digits, and the minimum value of g(x) to 5 significant digits.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider the functions (1.0001)" g(x) = (1.0001) + x60 x60 f(x) = (1.0001)= ' where we assume that 0< x. (a) Using elementaty calculus find the value of x for which f (x) takes on its absolute maximum and g(x) takes on its absolute minimum. (b) Find the maximum value of f(x) to 5 significant digits, and the minimum value of g(x) to 5 significant digits.
Transcribed Image Text:1. Consider the functions (1.0001)" g(x) = (1.0001) + x60 x60 f(x) = (1.0001)= ' where we assume that 0< x. (a) Using elementaty calculus find the value of x for which f (x) takes on its absolute maximum and g(x) takes on its absolute minimum. (b) Find the maximum value of f(x) to 5 significant digits, and the minimum value of g(x) to 5 significant digits.
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