Answered: (a) Use total differential to find the…

(a) Use total differential to find the approximate value for f(-0.07, 2.98) if f (x,y)=x²y-2xy-6, x=0, y=3. (b) Calculate the exact value of f(-0.07, 2.98).

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 10E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...

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Question

(a) Use total differential to find the approximate value for
f(-0.07, 2.98) if f (x,y)=x²y-2xy-6, x=0, y=3.
(b) Calculate the exact value of f(-0.07, 2.98).

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