2. Find a function f(x, y) which is NOT linear in either a or y and for which the tangent plane at (1, 2, 3) is given by z =2 + 3x - y.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Find a function f(x, y) which is NOT linear in either r or y and for which the tangent plane at (1, 2, 3) is given by
% =2 + 3.x – y.
(Note: There are infinitely many different such functions. Be creative. Also, be sure to explain your process of
finding the function. If you just write a function which works and not show all needed work, you will not receive
full credit.)
Transcribed Image Text:2. Find a function f(x, y) which is NOT linear in either r or y and for which the tangent plane at (1, 2, 3) is given by % =2 + 3.x – y. (Note: There are infinitely many different such functions. Be creative. Also, be sure to explain your process of finding the function. If you just write a function which works and not show all needed work, you will not receive full credit.)
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