The side of a square is measured to be 40 ft, with a possible error of +0.2 ft. Enter the exact answers. (a) Use differentials to estimate the error in the calculated area. Propagated error in calculated area: ± ft2 (b) Estimate the percentage errors in the side and the area. Percentage error in the side: + % Percentage error in the area: + %

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 24A: A piece shown by the shaded portion is to be cut from a square plate 128 millimeters on a side. a....
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The side of a square is measured to be 40 ft, with a possible error of +0.2 ft.
Enter the exact answers.
(a) Use differentials to estimate the error in the calculated area.
Propagated error in calculated area: +
ft2
(b) Estimate the percentage errors in the side and the area.
Percentage error in the side: +
Percentage error in the area: ±
%
Transcribed Image Text:The side of a square is measured to be 40 ft, with a possible error of +0.2 ft. Enter the exact answers. (a) Use differentials to estimate the error in the calculated area. Propagated error in calculated area: + ft2 (b) Estimate the percentage errors in the side and the area. Percentage error in the side: + Percentage error in the area: ± %
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