(a) Explanation Given: The function is, f ( x ) = ( x − 1 ) 2 The function is, f ( x ) = ( x − 1 ) 2 The objective is to list the values of M k used for n=2 rectangles while calculating the lower sum approximation for the area of the graph and the x-axis from x=0 to x=2. The lower sum defined for n rectangles on [a, b] is ∑ k = 1 n f ( M k ) Δ x (b) To determine To list the values of M k used for n=3 rectangles while calculating the lower sum approximation for the area of the graph and the x-axis from x=0 to x=2. (c) To determine To list the values of M k used for n=4 rectangles while calculating the lower sum approximation for the area of the graph and the x-axis from x=0 to x=2.

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Chapter 4.2, Problem 12C

(a)

To determine

To list the values of Mk used for n=2 rectangles while calculating the lower sum approximation for the area of the graph and the x-axis from x=0 to x=2.

(b)

To determine

To list the values of Mk used for n=3 rectangles while calculating the lower sum approximation for the area of the graph and the x-axis from x=0 to x=2.

(c)

To determine

To list the values of Mk used for n=4 rectangles while calculating the lower sum approximation for the area of the graph and the x-axis from x=0 to x=2.

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Chapter 4.2, Problem 11C

Chapter 4.2, Problem 13C

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Chapter 4 Solutions

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To list the values of M k used for n=2 rectangles while calculating the lower sum approximation for the area of the graph and the x-axis from x=0 to x=2.

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To list the values of Mk used for n=2 rectangles while calculating the lower sum approximation for the area of the graph and the x-axis from x=0 to x=2.

To list the values of Mk used for n=3 rectangles while calculating the lower sum approximation for the area of the graph and the x-axis from x=0 to x=2.

To list the values of Mk used for n=4 rectangles while calculating the lower sum approximation for the area of the graph and the x-axis from x=0 to x=2.

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