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Chapter 5: Q 20. (page 491)

Sketch the graph of some function f on [2, 5] for which SIMP(6) (i.e., with n2=3parabola-topped rectangles) is an under-approximation for鈭�abfxdx

Short Answer

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Integral is鈭�abfxdx

Step by step solution

01

Step 1. Given information

Integral is鈭�abfxdx

02

Step 2. Explanation

Each graph interval is approximated as a parabola going through the points of function at the initial, midway, and end point of intervals using Simpson's approach. The goal is to draw a graph that is an under-approximation in Simpson's approximation using three divisions in the interval [2,5].

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