Find the increment and differential of each of the following functions for the given values of the variables and their increments. Find the increment and differential of each of the following functions for the given values of thevariables and their increments.15. x In y +y ln x; x = y = 1, Ax = 0.01, Ay = 0.02%3Dtan xy; x = 2, y = 0.5, Ax = -0.05, Ay = 0.0117. Find, approximately, the amount of metal in a closed tin can 3 inches in diameter and 5 incheshigh, if the metal is 1/32 inches thick.16. y%3D18. Find by use of differentials the approximate total area of a right circular cone whose base radiusand height are 5.03 inches and 11.89 inches, respectively.

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Find the increment and differential of each of the following functions for the given values of the variables and their increments. 15. x In y + y In x; x = y = 1, Ax = 0.01, Ay = 0.02 16. y tan- xy; x = 2, y = 0.5, Ax = -0.05, Ay = 0.01 17. Find, approximately, the amount of metal in a closed tin can 3 inches in diameter and 5 inches high, if the metal is 1/32 inches thick. %3D

Find the increment and differential of each of the following functions for the given values of the variables and their increments. 15. x In y + y In x; x = y = 1, Ax = 0.01, Ay = 0.02 16. y tan- xy; x = 2, y = 0.5, Ax = -0.05, Ay = 0.01 17. Find, approximately, the amount of metal in a closed tin can 3 inches in diameter and 5 inches high, if the metal is 1/32 inches thick. %3D

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 11E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...

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