   Chapter 5.6, Problem 29E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Surface Area Use the Midpoint Rule to estimate the surface area of the pond shown in the figure. To determine

To calculate: The surface area of the pond shown in the figure below by application of the midpoint rule, Explanation

Given Information:

The figure showing the pond is provided below as,

Formula used:

The midpoint rule states that the midpoint (m) of each interval (a, b) is given by

m=a+b2.

Calculation:

The width of each area is 20 ft.

Calculate the midpoint of each of the intervals provided as,

[0,50],[50,54],[54,82],[82,82],[82,73],[73,75],[75,80],[80,]

Calculate the midpoint of the interval [0,50],

[0,50]=0+502=25

Calculate the midpoint of the interval [50,54],

[50,54]=50+542=52

Calculate the midpoint of the interval [54,82],

[54,82]=54+822=68

Calculate the midpoint of the interval [82,82]

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