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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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