3) Use approximating rectangles to approximate the area under the curve y = 4 – x2 on the interval [0,2] using n=4 rectangles and using the left endpoints as the height of each rectangle. Along with your work, draw a sketch of the curve with the approximating rectangles. Is the area you found an overestimate or underestimate?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter69: Simple Practical Machine Applications
Section: Chapter Questions
Problem 18A: Find inside caliper dimension x. All dimensions are in inches.
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3) Use approximating rectangles to approximate the area under the curve y = 4 – x2
on the interval [0,2] using n=4 rectangles and using the left endpoints as the height
of each rectangle. Along with your work, draw a sketch of the curve with the
approximating rectangles. Is the area you found an overestimate or underestimate?
Transcribed Image Text:3) Use approximating rectangles to approximate the area under the curve y = 4 – x2 on the interval [0,2] using n=4 rectangles and using the left endpoints as the height of each rectangle. Along with your work, draw a sketch of the curve with the approximating rectangles. Is the area you found an overestimate or underestimate?
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