   Chapter 13.1, Problem 9E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# When the area under f ( x ) =   x 2 + x  from  x = 0  to  x =   2 is approximated, the formulas for the sum of n rectangles using left-hand endpoints and right-hand endpoints areLeft-hand endpoints: S L = 14 3 − 6 n + 4 3 n 2 Right-hand endpoints: S R = 14 n 2 + 18 n + 4 3 n 2 Use these formulas to answer Problems 9-13. 10.  Find  S L ( 10 )  and  S R ( 10 ) .

To determine

To calculate: The value of SL(10) and SR(10) where SL=1436n+43n2 and SR=14n2+18n+43n2.

Explanation

Given Information:

The provided formulae are SL=1436n+43n2 and SR=14n2+18n+43n2.

Calculation:

Consider the formulae,

SL=1436n+43n2 and SR=14n2+18n+43n2

Recall that to calculate the value of a function f(x) at x=a, substitute a for x in the formula.

First, calculate SL(10).

Substitute 10 for n in SL=1436n+43n2.

SL(10)=143610+43(10)2=143610+4300=1224300=4

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