The measurement of the edge of a cube is measured to be 9 inches, with a possible error of 0.04 inch. Use differentials to approximate the possible error and the relative error in computing the following values. (Round your answers to three decimal places.) (a) the volume of the cube possible error+ 9.72 relative error ± 0.0133 ✓in³ (b) the surface area of the cube possible error+ 0.72 relative error +0.00889 xin2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The measurement of the edge of a cube is measured to be 9 inches, with a possible error of 0.04 inch. Use differentials to approximate the possible
error and the relative error in computing the following values. (Round your answers to three decimal places.)
(a) the volume of the cube
possible error + 9.72
relative error + 0.0133
(b) the surface area of the cube
possible error ± 0.72
relative error ± 0.00889
in 3
X in²
Transcribed Image Text:The measurement of the edge of a cube is measured to be 9 inches, with a possible error of 0.04 inch. Use differentials to approximate the possible error and the relative error in computing the following values. (Round your answers to three decimal places.) (a) the volume of the cube possible error + 9.72 relative error + 0.0133 (b) the surface area of the cube possible error ± 0.72 relative error ± 0.00889 in 3 X in²
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