   Chapter 5.6, Problem 30E ### 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 golf green shown in the figure. To determine

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

Given Information:

The figure showing the golf green is shown below as,

Formula used:

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

m=a+b2.

Calculation:

Consider the width of each area, 6 ft.

Calculate the midpoint of each interval provided below as,

[0,14],[14,14],[14,12],[12,12],[12,15],[15,20],[20,23],[23,25],[25,26],[26,],

Calculate the midpoint of the interval [0,14]

[0,14]=0+142=7

Calculate the midpoint of the interval [14,14]

[14,14]=14+142=14

Calculate the midpoint of the interval [14,12]

[14,12]=14+122=13

Calculate the midpoint of the interval [12,12]

[12,12]=12+122=12

Calculate the midpoint of the interval [12,15],

[12,15]=12+152=13

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