W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(4, – 1) = - 4, u,(4, – 1) = 2, u:(4, – 1) = 8, v(4, – 1) = 1, v,(4, – 1) = 5, v:(4, – 1) = - 3, F.( – 4, 1) = – 9, and Fe( – 4, 1) = 3, then find the following: %3D | W.(4, – 1) = W:(4, – 1) =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable.
If u(4, – 1) = - 4, us(4, – 1) = 2, uz(4, – 1) = 8, v(4, – 1) = 1, v,(4, – 1) = 5,
ve(4, – 1) = - 3, Fu( – 4, 1) = - 9, and F.( – 4, 1) = 3, then find the following:
%3D
%3D
W.(4, – 1) =
W:(4, – 1) =
Transcribed Image Text:W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(4, – 1) = - 4, us(4, – 1) = 2, uz(4, – 1) = 8, v(4, – 1) = 1, v,(4, – 1) = 5, ve(4, – 1) = - 3, Fu( – 4, 1) = - 9, and F.( – 4, 1) = 3, then find the following: %3D %3D W.(4, – 1) = W:(4, – 1) =
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