Question

Let
f(x,y) = lnxy.
(a) Find the local linear approximation L(x, y) to the f (x, y) at the point P (1, 2). (b) Use L(x,y) computed in (a) to approximate the value of f(1.01,2.02).
(c) Find the error of L computed in (b), with respect to the actual value of f(1.01,2.02).

Answer 1

Answer:

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Answer 2

Answer:

Let

f(x,y) = lnxy.

(a) Find the local linear approximation L(x, y) to the f (x, y) at the point P (1, 2). (b) Use L(x,y) computed in (a) to approximate the value of f(1.01,2.02).

(c) Find the error of L computed in (b), with respect to the actual value of f(1.01,2.02).