The surface area S of a metal cylinder is given by S = 2mr² + 2rh where r is the radius and h is the height. The height can be cut to a relative accuracy of 3% but the radius can only be cut to a relative accuracy of 5%. If the cylinder is supposed to have a radius of 6 cm and a height of 10 cm, use differentials to estimate how bad the relative accuracy of the surface area can be. Don't round answers unless the instructions request approximations, or as part of checking your OWn Work
The surface area S of a metal cylinder is given by S = 2mr² + 2rh where r is the radius and h is the height. The height can be cut to a relative accuracy of 3% but the radius can only be cut to a relative accuracy of 5%. If the cylinder is supposed to have a radius of 6 cm and a height of 10 cm, use differentials to estimate how bad the relative accuracy of the surface area can be. Don't round answers unless the instructions request approximations, or as part of checking your OWn Work
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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