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Let f(x, y) = x³ + 2y²x + y³ + 2x, then a) the gradient Vf(xo, yo) is equal to the null vector at a point (xo, yo). b) the gradient Vf at the point (1, 1) is parallel to the vector (2,-2). c) f has four critical points. the gradient Vƒ at the point (−1,1) is orthogonal to the vector (3/14,3/2)T. e) none of the other answers.

Let f(x, y) = x³ + 2y²x + y³ + 2x, then a) the gradient Vf(xo, yo) is equal to the null vector at a point (xo, yo). b) the gradient Vf at the point (1, 1) is parallel to the vector (2,-2). c) f has four critical points. the gradient Vƒ at the point (−1,1) is orthogonal to the vector (3/14,3/2)T. e) none of the other answers.

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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Can you explain why is the d true and the others false?

Let f(x, y) = x³ + 2y²x + y³ + 2x, then a) the gradient Vf(xo, yo) is equal to the null vector at a point (xo, yo). b) the gradient Vf at the point (1, 1) is parallel to the vector (2,-2)T. c) f has four critical points. d) the gradient Vƒ at the point (−1,1) is orthogonal to the vector (3/14,3/2)¹. e) none of the other answers.
Transcribed Image Text:Let f(x, y) = x³ + 2y²x + y³ + 2x, then a) the gradient Vf(xo, yo) is equal to the null vector at a point (xo, yo). b) the gradient Vf at the point (1, 1) is parallel to the vector (2,-2)T. c) f has four critical points. d) the gradient Vƒ at the point (−1,1) is orthogonal to the vector (3/14,3/2)¹. e) none of the other answers.
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