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l. Multiple Choice Let f(x, y) = = x - y² and consider the level curve f(x, y) = 0. What is the geometric significance of the vector Vƒ(1, 1)? A It is tangent to the level curve f(x, y) =x- y² = 0 at the point (x, y) = (1,1). B It is tangent to the level curve f(x, y) : = x - y² = 0 at the point (x, y) = (0,0). C It is orthogonal to the level curve f(x, y) : = x - y² = 0 at the point (x, y) = (1, 1). D It is orthogonal to the level curve f(x, y) = x - y² = 0 at the point (x, y) = (0,0). E F None of the above I don't know

l. Multiple Choice Let f(x, y) = = x - y² and consider the level curve f(x, y) = 0. What is the geometric significance of the vector Vƒ(1, 1)? A It is tangent to the level curve f(x, y) =x- y² = 0 at the point (x, y) = (1,1). B It is tangent to the level curve f(x, y) : = x - y² = 0 at the point (x, y) = (0,0). C It is orthogonal to the level curve f(x, y) : = x - y² = 0 at the point (x, y) = (1, 1). D It is orthogonal to the level curve f(x, y) = x - y² = 0 at the point (x, y) = (0,0). E F None of the above I don't know

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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II. Multiple Choice Let f(x,y) = x y² and consider the level curve f(x, y) = 0. What is the geometric significance of the vector Vƒ(1, 1)? A It is tangent to the level curve f(x, y) = x - y² = 0 at the point (x, y) = (1, 1). B It is tangent to the level curve f(x, y) = x − y² = 0 at the point (x, y) - C It is orthogonal to the level curve f(x, y) = x - y² = 0 at the point (x, y) = (1, 1). D E F It is orthogonal to the level curve f(x, y) None of the above (0,0). I don't know = x - y² = 0 at the point (x, y) = (0, 0). = x − y²
Transcribed Image Text:II. Multiple Choice Let f(x,y) = x y² and consider the level curve f(x, y) = 0. What is the geometric significance of the vector Vƒ(1, 1)? A It is tangent to the level curve f(x, y) = x - y² = 0 at the point (x, y) = (1, 1). B It is tangent to the level curve f(x, y) = x − y² = 0 at the point (x, y) - C It is orthogonal to the level curve f(x, y) = x - y² = 0 at the point (x, y) = (1, 1). D E F It is orthogonal to the level curve f(x, y) None of the above (0,0). I don't know = x - y² = 0 at the point (x, y) = (0, 0). = x − y²
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