a. Explanation Given Information: Consider the region between f and the x -axis on [ − 2 , 4 ] . The given function is f ( x ) = ( x + 1 ) ( x − 3 ) . Calculation: Theleft-sum approximation for area of this region with n = 8 can be formulated as shown below. Δ x = 4 − ( − 2 ) 8 = 3 4 , x k = − 2 + 3 4 k , f ( x k − 1 ) = − 2 + 3 4 ( k − 1 ) ∑ k = 1 8 f ( x k − 1 ) Δ x = = 3 4 [ f ( − 2 + 3 4 ( 1 − 1 ) ) + f ( − 2 + 3 4 ( 2 − 1 ) ) + f ( − 2 + 3 4 ( 3 − 1 ) ) = + f ( − 2 + 3 4 ( 4 − 1 ) ) + f ( − 2 + 3 4 ( 5 − 1 ) ) + f ( − 2 + 3 4 ( 6 − 1 ) b. To determine To Find: the signed area c. To determine To Find : the absolute area

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Question

Chapter 4.6, Problem 11C

To determine

To Find: left-sum approximation for area of this region with n=8 .

To determine

To Find: the signed area

To determine

To Find : the absolute area

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Chapter 4.6, Problem 10C

Chapter 4.6, Problem 12C

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Chapter 4 Solutions

Calculus

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left-sum approximation for area of this region with n = 8 .

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To Find: left-sum approximation for area of this region with n=8 .

To Find: the signed area

To Find : the absolute area

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Chapter 4 Solutions