5. (a) Estimate the area under the graph of f(x)= 1 + x from x =-1 to x 2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating rectangles. (b) Repeat part (a) using left endpoints. (c) Repeat part (a) using midpoints. (d) From your sketches in parts (a)-(c), which appears to be 2 the best estimate?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Can you show me all the steps to solve problem 5?

 

5. (a) Estimate the area under the graph of f(x)= 1 + x
from x =-1 to x 2 using three rectangles and right
endpoints. Then improve your estimate by using six
rectangles. Sketch the curve and the approximating
rectangles.
(b) Repeat part (a) using left endpoints.
(c) Repeat part (a) using midpoints.
(d) From your sketches in parts (a)-(c), which appears to be
2
the best estimate?
Transcribed Image Text:5. (a) Estimate the area under the graph of f(x)= 1 + x from x =-1 to x 2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating rectangles. (b) Repeat part (a) using left endpoints. (c) Repeat part (a) using midpoints. (d) From your sketches in parts (a)-(c), which appears to be 2 the best estimate?
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