Explanation Given information: Moving averages of the given function for the given values of x and interval length L are Calculation: Consider the function g x = x 4 − x 3 + 5 x − 1 The objective is to find the average value at the following values of x and interval length L . The average function g is given by, g x = x 4 − x 3 + 5 x − 1 g arg = 1 L ∫ x x + L g t d t At x = 0 , L = 4 : g a v g = 1 2 ∫ 0 4 x 4 − x 3 + 5 x − 1 d x x = 0 , x + L = 0 + 4 = 4 = 1 2 x 5 5 − x 4 4 + 5 x 2 2 − x 0 4 = 1 2 4 5 5 − 4 4 4 + 5 4 2 2 − 4 − 0 = 221 5 That is g a v g ≈ 44.2 . At x = 2 , L = 4 : g avg = 1 2 ∫ 2 6 x 4 − x 3 + 5 x − 1 d x x = 2 , x + L = 2 + 4 = 6 = 1 2 x 5 5 − x 4 4 + 5 x 2 2 − x 2 6 = 1 2 6 5 5 − 6 4 4 + 5 6 2 2 − 6 − 2 5 5 − 2 4 4 + 5 2 2 2 − 2 = 1631 5 That is g avg ≈ 362

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Chapter 4.4, Problem 64E

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To find: Moving averages of the given function for the given values of x and interval length L .

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Chapter 4.4, Problem 63E

Chapter 4.4, Problem 65E

Chapter 4 Solutions

CALCULUS+ITS...,EXP.(LL)-W/CODE NVCC

Ch. 4.1 - Find each integral. 2dx Ch. 4.1 - Find each integral. 4dx Ch. 4.1 - Find each integral. 3. x6dx Ch. 4.1 - Prob. 4E Ch. 4.1 - Find each integral. x1/4dx Ch. 4.1 - Find each integral. x1/3dx Ch. 4.1 - Find each integral. 7. Ch. 4.1 - Find each integral. 8. Ch. 4.1 - Find each integral. (2t2+5t3)dt Ch. 4.1 - Find each integral. 10.

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Moving averages of the given function for the given values of x and interval length L .

Solution Summary: The author calculates the moving averages of a given function for the given values of x and interval length L.

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To find: Moving averages of the given function for the given values of x and interval length L .

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Chapter 4 Solutions