Which one is true and why? Why the other answers are false? Let f(x, y) = 3x + 2y - 10, in its domaina) f has a local minimum.b) f is a bounded function.c) f has a local maximum.d) f has one critical point.e) If T(x, y) represents the expression of the tangent plane at the point (1, 1, ƒ(1,1)), thenT(x, y) = f(x, y) for all (x, y).

Introduction: To find the critical points of two variables function we have to find the partial…

Answered: Let f(x, y) = 3x + 2y 10, in its domain…

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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Let f(x, y) = 3x + 2y 10, in its domain a) f has a local minimum. b) f is a bounded function. c) f has a local maximum. d) f has one critical point. e) If T(x, y) represents the expression of the tangent plane at the point (1, 1, f(1, 1)), then T(x, y) = f(x,y) for all (x, y).