Volume and Surface Area The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch. (a) Use differentials to approximate the possible propagated error in computing the volume of the cube. (b) Use differentials to approximate the possible propagated error in computing the surface area of the cube. (c) Approximate the percent errors in parts (a) and (b).

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Calculus 11th Edition - Ron Larson

Chapter 3.9 - Differentials

Volume & Surface area - please explain all steps.

 

Volume and Surface Area The measurement of the
edge of a cube is found to be 15 inches, with a possible error
of 0.03 inch.
(a) Use differentials to approximate the possible propagated
error in computing the volume of the cube.
(b) Use differentials to approximate the possible propagated
error in computing the surface area of the cube.
(c) Approximate the percent errors in parts (a) and (b).
Transcribed Image Text:Volume and Surface Area The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch. (a) Use differentials to approximate the possible propagated error in computing the volume of the cube. (b) Use differentials to approximate the possible propagated error in computing the surface area of the cube. (c) Approximate the percent errors in parts (a) and (b).
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