Explanation Given information: In a survey of oceanfront property, measurements of the distance to the water were made every 50 feet along a 200 -foot side as given in the figure below. Formula used: Trapezoidal Rule: ∫ a b f ( x ) d x ≈ [ f ( a 0 ) + 2 f ( a 1 ) + ⋯ + 2 f ( a n − 1 ) + f ( a n ) ] Δ x 2 The trapezoidal rule uses the values of f ( x ) at the end points of the interval a ≤ x ≤ b . Calculation: Consider the function f which gives the distance from point x on the side to the water. If a corresponds to the top of the diagram, and b to the bottom, then the area of the oceanfront property is ∫ a b f ( x ) d x . Here Δ x = 50 since the measurements are taken 50 feet apart. In the givenfigure, there are 4 equal subintervals so, n = 4

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ISBN: 9780137590810

Author: Larry J. Goldstein, David C. Lay, David I. Schneider, Nakhle H. Asmar, William Edward Tavernetti

Publisher: PEARSON

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Chapter 9.4, Problem 25E

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To calculate: The area of a piece of oceanfront property shown in the figure belowby using the trapezoidal rule.

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Chapter 9.4, Problem 24E

Chapter 9.4, Problem 26E

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The area of a piece of oceanfront property shown in the figure belowby using the trapezoidal rule.

Solution Summary: The author calculates the area of a piece of oceanfront property by using the trapezoidal rule.

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