Explanation Given information: The given function is f ( x ) = e n x and the interval is [ 0 , a ] . Concept used: The average value of an integrable function f on [ a , b ] is the given by: A v e r a g e v a l u e = 1 b − a ∫ a b f ( x ) d x . Integration of ∫ e x = e x + C . Calculation: Here, the function f ( x ) = e n x with the interval [ a , b ]

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ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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Question

Chapter 6.2, Problem 50E

To determine

The average over the given interval [0,a] of the function f(x)=enx for n≠0.

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Chapter 6.2, Problem 49E

Chapter 6.2, Problem 51E

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Consider the graphs of y = f(x) and y = g(x) in the given diagram y= f(x). y = g(x) Evaluate (f+g)(2) -5 Determine all for which g(x) < f(x) Determine all for which f(x) +3 = g(x)

I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed. J) Give the interval(s) of such that g(x) > 0. Use the union symbol between multiple intervals. K) Give the interval(s) of such that g(x) <0. Use the union symbol between multiple intervals.

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Chapter 6 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

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The average over the given interval [ 0 , a ] of the function f ( x ) = e n x for n ≠ 0 .

Solution Summary: The author calculates the average value of an integrable function f(x)=enx with the interval [0,a].

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The average over the given interval [0,a] of the function f(x)=enx for n≠0.

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Chapter 6 Solutions