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Consider z² + xyz + y² = x² + 6z + 24, where = f(x,y). a) Using the Implicit Function Theorem (not direct implicit əz differentiation), find at the point (1,2,-3). Be clear on all the əx steps. b) Find the equation y=mx+b of the line tangent to the graph of z = f(x, y) at (1,2) in the direction of x.

Consider z² + xyz + y² = x² + 6z + 24, where = f(x,y). a) Using the Implicit Function Theorem (not direct implicit əz differentiation), find at the point (1,2,-3). Be clear on all the əx steps. b) Find the equation y=mx+b of the line tangent to the graph of z = f(x, y) at (1,2) in the direction of x.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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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Consider z² + xyz + y² = x² + 6z +24, where z = f(x,y). a) Using the Implicit Function Theorem (not direct implicit дz differentiation), find at the point (1,2,-3). Be clear on all the Əx steps. b) Find the equation y=mx+b of the line tangent to the graph of z = f(x, y) at (1,2) in the direction of x.
Transcribed Image Text:Consider z² + xyz + y² = x² + 6z +24, where z = f(x,y). a) Using the Implicit Function Theorem (not direct implicit дz differentiation), find at the point (1,2,-3). Be clear on all the Əx steps. b) Find the equation y=mx+b of the line tangent to the graph of z = f(x, y) at (1,2) in the direction of x.
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