(a) Explanation Formula used: The average value of the function f on the interval [ a , b ] is 1 b − a ∫ a b f ( x ) d x . Calculation: The temperature is in terms of the function as T ( x ) = 160 − 0.05 x 2 over the interval [ 0 , 10 ] . Here, a = 0 and b = 10 . Substitute the respective values and find the average value of the function as follows. Average value = 1 10 − 0 ∫ 0 10 ( 160 − 0.05 x 2 ) d x = 1 10 [ 160 x − 0 (b) To determine To find: The average temperature over the interval [ 10 , 40 ] . (c) To determine To find: The average temperature over the interval [ 0 , 40 ] .

Calculus with Applications Books a la Carte Edition

11th Edition

ISBN: 9780133864564

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

Publisher: Pearson Education

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Chapter 8, Problem 61RE

(a)

To determine

To find: The average temperature over the interval [0,10] .

(b)

To determine

To find: The average temperature over the interval [10,40] .

(c)

To determine

To find: The average temperature over the interval [0,40] .

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Chapter 8, Problem 60RE

Chapter 9.1, Problem 1YT

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Calculus with Applications Books a la Carte Edition

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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The average temperature over the interval [ 0 , 10 ] .

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To find: The average temperature over the interval [0,10] .

To find: The average temperature over the interval [10,40] .

To find: The average temperature over the interval [0,40] .

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Chapter 8 Solutions