Solved: In Exercises 45–48, find the linearization L(x, y,
Chapter 13, Problem 46E(choose chapter or problem)
In Exercises , find the linearization \(L(x,y)\) of the function \(f(x,y)\) at \(P_{0}\. Then find an upper bound for the magnitude of the error \(E\) in the approximation \(f(x, y) \approx L(x, y)\) over the region \(R\).
\(f(x, y, z)=x^{2}+x y+y z+(1 / 4) z^{2} \text { at } P_{0}(1,1,2)\) ,
\(R:|x-1| \leq 0.01,|y-1| \leq 0.01,|z-2| \leq 0.08\)
Equation Transcription:
at
Text Transcription:
L(x,y)
f(x,y)
P_0
f(x,y)approxL(x,y)
R
f(x,y,z)=x^2+xy+yz +(1/4)z^2 at P_0(1,1,2)
R:|x-1| <= 0.01,|y-1| <= 0.01,|z-2| <= 0.08
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer