Find the linearization L(x,y,z) of the function f(x,y,z) = xz - 7yz + 3 at Po(3,1,3). Then find an upper bound for the magnitude of the error in the approximation f(x,y,z) ~ L(x,y,z) over the region R: |x-3| ≤0.04, |y-1| ≤0.04, |z- 3| ≤0.01. The linearization of f(x,y,z) at Po(3,1,3) is L(x,y,z) = −9+3(x-3) -21(y-1)-4(z-3). The magnitude of the error is |E| ≤ (Round to four decimal places as needed.)

Find the linearization L(x,y,z) of the function f(x,y,z) = xz - 7yz + 3 at Po(3,1,3). Then find an upper bound for the magnitude of the error in the approximation f(x,y,z) ~ L(x,y,z) over the region R: |x-3| ≤0.04, |y-1| ≤0.04, |z- 3| ≤0.01. The linearization of f(x,y,z) at Po(3,1,3) is L(x,y,z) = −9+3(x-3) -21(y-1)-4(z-3). The magnitude of the error is |E| ≤ (Round to four decimal places as needed.)

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.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...

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