f(x) 6. 4 3 1 1 2 3 4 5 6 7 8 9 5 2)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter0: A Review Of Basic Algebra
Section0.4: Polynomials
Problem 129E
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Estimate the area under the curve below as show. Use n = 4 rectangles and right endpoints. Draw each of the rectangles, rounding to the nearest unit square.

f(x)
6.
4
3
1
1 2 3
4
5 6 7 8 9
5
2)
Transcribed Image Text:f(x) 6. 4 3 1 1 2 3 4 5 6 7 8 9 5 2)
Expert Solution
Step 1

Given

Calculus homework question answer, step 1, image 1

 

Step 2

To estimate the area under the curve by using rectangles and given n = 4 and use right endpoints to find the height of these rectangles.

Given interval for the function is [1,9], this implies a=1, b=9 therefore b-a4=9-14=2  so the partition of [1,9] is {1,3,5,7.9} and the corresponding sub intervals are [1, 9]=[1, 3]U[3, 5]U[5, 7]U[7, 9]

Note that for each sub interval x=2 

The right endpoints of the sub intervals of the interval [1,9] are 3,5,7,9 and the corresponding  function values of the function are 

f(3)= 3, f(5)=4 , f(7) =5, f(9)=  6

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