Explanation Given information : The mathematical expression f ( x k * ) . Consider the mathematical expression f ( x k * ) . To approximate area under curve with help of Riemann Sums an interval of the form [ x k − 1 , x k ] where k is arbitrary. The end points of interval represents the ends of rectangle which is used to approximate the area. And x k * is an arbitrary point selected from [ x k − 1 , x k ] . The curve is divided into n rectangles and from each subinterval a point is selected. The height of rectangle is denoted by f ( x k * ) of the k t h rectangle The point x k * is substituted in the function f ( x k * ) and total area is evaluated

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Chapter 4, Problem 7NFAR

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To describe: The mathematical expression f(xk*) and its use in the chapter.

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Chapter 4 Solutions

Calculus

Ch. 4.1 - Prob. 1TB Ch. 4.1 - Prob. 2TB Ch. 4.1 - Prob. 3TB Ch. 4.1 - Prob. 0C Ch. 4.1 - Prob. 1C Ch. 4.1 - Prob. 2C Ch. 4.1 - Prob. 3C Ch. 4.1 - Prob. 4C Ch. 4.1 - Prob. 5C Ch. 4.1 - Prob. 6C

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The mathematical expression f ( x k * ) and its use in the chapter.

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