(a). Explanation Given information: The function is f ( x ) = 1 x . The interval of the integral function is [ 1 , 4 ] . Calculation: Show the function as below: f ( x ) = 1 x (1) The expression to find the average value of the function ( f ave ) is shown below: f avg = 1 b − a ∫ a b f ( x ) d x (2) Here, the upper limit is b , the lower limit is a , and the function is f ( x ) . Substitute 1 for a , 4 for b , and 1 x for f ( x ) in Equation (2) (b). To determine To find : The value of count c. (c) To determine To draw : The graph of the function f.

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Author: Stewart

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Chapter 6, Problem 34E

(a).

To determine

To Find: The average value of the function f(x)=1x at the interval [1,4]

(b).

To determine

To find: The value of count c.

(c)

To determine

To draw: The graph of the function f.

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Chapter 6, Problem 33E

Chapter 6, Problem 35E

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Chapter 6 Solutions

Calculus, Early Transcendentals

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The average value of the function f ( x ) = 1 x at the interval [ 1 , 4 ]

Solution Summary: The author shows the expression to find the average value of the function (x)=1sqrtx

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To Find: The average value of the function f(x)=1x at the interval [1,4]

To find: The value of count c.

To draw: The graph of the function f.

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