The radius of a sphere is measured as 4 centimeters, with a possible error of 0.025 centimeter. a. Use differentials to approximate the possible propagated error, in cm3, in computing the volume of the sphere. (b) Use differentials to approximate the possible propagated error, in cm2, in computing the surface area of the sphere. (c) Approximate the percent errors in parts (a) and (b). (Round your answers to two decimal places.) volume % surface area %
The radius of a sphere is measured as 4 centimeters, with a possible error of 0.025 centimeter. a. Use differentials to approximate the possible propagated error, in cm3, in computing the volume of the sphere. (b) Use differentials to approximate the possible propagated error, in cm2, in computing the surface area of the sphere. (c) Approximate the percent errors in parts (a) and (b). (Round your answers to two decimal places.) volume % surface area %
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 8E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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The radius of a sphere is measured as 4 centimeters, with a possible error of 0.025 centimeter.
a. Use differentials to approximate the possible propagated error, in cm3, in computing the volume of the sphere.
(b)
Use differentials to approximate the possible propagated error, in cm2, in computing the surface area of the sphere.
(c)
Approximate the percent errors in parts (a) and (b). (Round your answers to two decimal places.)
volume %
surface area %
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