Explanation Given Information: The provided function is E ( x ) = 0.0112 x 2 + 0.612 x + 11.9 . Formula used: The base of the rectangles to approximate the area is b − a n where the interval [ a , b ] on which function is defined is divided into n subintervals. The height of the rectangles is the value of the function calculated at the right-hand end point of the interval containing the base. The area of a rectangle is b a s e × h e i g h t . The approximated area under the curve is sum of the areas of each rectangle. Calculation: Consider the function, E ( x ) = 0.0112 x 2 + 0.612 x + 11.9 The range of x -axis is from x = 15 to x = 25 . Divide the interval [ 15 , 25 ] into n = 10 subintervals where the function is evaluated at right end points of the subintervals. The base of the rectangles to approximate the area is b − a n where the interval [ a , b ] on which function is defined is divided into n subintervals. Since, the function is defined from x = 15 to x = 25 .So, a = 15 and b = 25 . Thus, Base of each rectangle = 25 − 15 10 = 10 10 = 1 Recall that the height of the rectangles is the value of the function calculated at the right-hand end point of the interval containing the base. Record these values in a table, Rectangle Base Right endpoint Height A r e a = b a s e × h e i g h t [ 15 , 16 ] 1 x 1 = 16 E ( 16 ) = 0.0112 ( 16 ) 2 + 0.612 ( 16 ) + 11.9 = 24.5592 1 × 24.5592 = 24.5592 [ 16 , 17 ] 1 x 2 = 17 E ( 17 ) = 0.0112 ( 17 ) 2 + 0.612 ( 17 ) + 11.9 = 25.5408 1 × 25.5408 = 25.5408 [ 17 , 18 ] 1 x 3 = 18 E ( 18 ) = 0.0112 ( 18 ) 2 + 0.612 ( 18 ) + 11.9 = 26.5448 1 × 26.5448 = 26.5448 [ 18 , 19 ] 1 x 4 = 19 E ( 19 ) = 0.0112 ( 19 ) 2 + 0.612 ( 19 ) + 11

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 13.1, Problem 39E

To determine

To calculate: The area under the graph of E(x)=0.0112x2+0.612x+11.9 between x=15 and x=25 using n=10 equal subdivisions measured at the right-handend points and what does this area represent where the function represents sulphur dioxide emissions from electricity generation.

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Chapter 13.1, Problem 38E

Chapter 13.1, Problem 40E

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Mathematical Applications for the Management, Life, and Social Sciences

Ch. 13.1 - CHECKPOINT 1. For the interval [0, 2]. determine...Ch. 13.1 - Prob. 2CP Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E

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The area under the graph of E ( x ) = 0.0112 x 2 + 0.612 x + 11.9 between x = 15 and x = 25 using n = 10 equal subdivisions measured at the right-handend points and what does this area represent where the function represents sulphur dioxide emissions from electricity generation.

Solution Summary: The author calculates the area under the graph of E(x) = 0.0112x+0.612x+11.9 using n=10 equal subdivisions measured at the right-hand

To calculate: The area under the graph of E(x)=0.0112x2+0.612x+11.9 between x=15 and x=25 using n=10 equal subdivisions measured at the right-handend points and what does this area represent where the function represents sulphur dioxide emissions from electricity generation.

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