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A model for the surface area of a human body is given by, where is the weight (in pounds), is the height (in inches), and is measured in square feet. If the errors in measurement of and are at most , use differentials to estimate the maximum percentage error in the calculated surface area.

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Prashanthi Kandimalla
Prashanthi KandimallaLv10
31 Dec 2020

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Please I need quick help these two questions. Thanks
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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).

The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm

(a) Use differentials to estimate the maximum error in the calculated surface area. what is the relative error?

(b) Use differentials to estimate the maximum error in the calculated Volume. What is the relative error?

 

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