Find the area under the semicircle y = √√49-x and above the x-axis by using n = 8 by the following methods: (a) the trapezoidal rule, and (b) Sim the results with the area found by the formula for the area of a circle. (a) Use the trapezoidal rule to approximate the area under the semicircle. (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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Find the area under the semicircle y = √√49-x² and above the x-axis by using n=8 by the following methods: (a) the trapezoidal rule, and (b) Simpson's rule. (c) Compare
the results with the area found by the formula for the area of a circle.
(a) Use the trapezoidal rule to approximate the area under the semicircle.
CD
(Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.)
Transcribed Image Text:Find the area under the semicircle y = √√49-x² and above the x-axis by using n=8 by the following methods: (a) the trapezoidal rule, and (b) Simpson's rule. (c) Compare the results with the area found by the formula for the area of a circle. (a) Use the trapezoidal rule to approximate the area under the semicircle. CD (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.)
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