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One side of a right triangle is known to be 28 cm exactly. The angle opposite to this side is measured to be 60°, with a possible error of +0.5°. Round your answers to three decimal places. (a) Use differentials to estimate the errors in the adjacent side and the hypotenuse. Propagated error in the adjacent side: + i cm Propagated error in the hypotenuse: ± i cm (b) Estimate the percentage errors in the adjacent side and hypotenuse. Percentage error in the adjacent side: + i % Percentage error in the hypotenuse: ± i %

One side of a right triangle is known to be 28 cm exactly. The angle opposite to this side is measured to be 60°, with a possible error of +0.5°. Round your answers to three decimal places. (a) Use differentials to estimate the errors in the adjacent side and the hypotenuse. Propagated error in the adjacent side: + i cm Propagated error in the hypotenuse: ± i cm (b) Estimate the percentage errors in the adjacent side and hypotenuse. Percentage error in the adjacent side: + i % Percentage error in the hypotenuse: ± i %

Calculus: Early Transcendentals
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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One side of a right triangle is known to be 28 cm exactly. The angle opposite to this side is measured to be 60°, with a possible error of +0.5°. Round your answers to three decimal places. (a) Use differentials to estimate the errors in the adjacent side and the hypotenuse. Propagated error in the adjacent side: + i cm Propagated error in the hypotenuse: ± i cm (b) Estimate the percentage errors in the adjacent side and hypotenuse. Percentage error in the adjacent side: ± i Percentage error in the hypotenuse: ± i
Transcribed Image Text:One side of a right triangle is known to be 28 cm exactly. The angle opposite to this side is measured to be 60°, with a possible error of +0.5°. Round your answers to three decimal places. (a) Use differentials to estimate the errors in the adjacent side and the hypotenuse. Propagated error in the adjacent side: + i cm Propagated error in the hypotenuse: ± i cm (b) Estimate the percentage errors in the adjacent side and hypotenuse. Percentage error in the adjacent side: ± i Percentage error in the hypotenuse: ± i
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