Explanation Let the function f ( x ) be defined on the interval [ a , b ] . Divide the above interval into n subintervals with width Δ x = b − a n and choose an x value, x i in each subintervals and obtain f ( x i ) . The average function value for n subintervals and for given choices of x i is given by, f ( x 1 ) + f ( x 2 ) + ⋯ + f ( x n ) n = 1 n ∑ i = 1 n f ( x i ) Since Δ x = b − a n , multiply both side of the above expression by b − a b − a . That is, ( b − a b − a ) f ( x 1 ) + f ( x 2 ) + ⋯ + f ( x n ) n = 1 n ( b − a b − a ) ∑ i = 1 n f ( x i ) f<

Calculus with Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Lial, Greenwell & Ritchey, The Applied Calculus & Finite Math Series)

11th Edition

ISBN: 9780133886832

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 8, Problem 35RE

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To explain: The process of finding average value of a function.

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Chapter 8, Problem 34RE

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Calculus with Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Lial, Greenwell & Ritchey, The Applied Calculus & Finite Math Series)

Ch. 8.1 - YOUR TURN 1 Find Ch. 8.1 - YOUR TURN 2 Find Ch. 8.1 - YOUR TURN 3 Find Ch. 8.1 - YOUR TURN 4 Find . Ch. 8.1 - YOUR TURN 5 Find Ch. 8.1 - Prob. 1WE Ch. 8.1 - Find the following. W2. Ch. 8.1 - Find the following. W3. Ch. 8.1 - Find the following. W4. Ch. 8.1 - Use integration by parts to find the integrals in...

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