Suppose the side length of a cube is measured to be 5 cm with an accuracy of 0.1 cm. Use differentials to estimate the error in the computed volume of the cube. b. Compute the volume of the cube if the side length is (i) 4.9 cm and (ii) 5.1 cm to compare the estimated error with the actual potential error. а.

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Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 41AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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QUESTION 4: DIFFERENTIALS
Suppose the side length of a cube is measured to be 5 cm with an accuracy of 0.1 cm.
а.
Use differentials to estimate the error in the computed volume of the cube.
b. Compute the volume of the cube if the side length is (i) 4.9 cm and (ii) 5.1 cm to compare the
estimated error with the actual potential error.
Transcribed Image Text:QUESTION 4: DIFFERENTIALS Suppose the side length of a cube is measured to be 5 cm with an accuracy of 0.1 cm. а. Use differentials to estimate the error in the computed volume of the cube. b. Compute the volume of the cube if the side length is (i) 4.9 cm and (ii) 5.1 cm to compare the estimated error with the actual potential error.
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