At the point (xo, yo), find the two directions in which the directional derivative D₁f (xn, yo) = −1. Assume that the tangent plane was computed at the point (xo, yo) correspond to the function f (x, y)? A 1.3 1.2 1.1 1 B 1.3 1.2 1.1 == (3, 1). Which of the following contour maps could с 1.3 1.2 1.1 1 0.9 0.9 0.9 0.8 0.8 0.8 0.7 0.7 0.7 2.7 2.8 2.9 3 3.1 3.2 3.3 2.7 2.8 2.9 3 3.1 3.2 3.3 2.7 2.8 2.9 3 3.1 3.2 3.3 x X x О а. В O b. None of the options could represent f О с. С O d. A The linear approximation of a function f (x, y) at a given point (xo, yo) is: z=x-2y-1 The gradient vector Vf (xo, yo) points in the same direction as the vector u = Select one: (1,2). O a. The gradient vector Vf (x0, yo) cannot be determined is we only know the linear approximation. O b. False ○ c. True
At the point (xo, yo), find the two directions in which the directional derivative D₁f (xn, yo) = −1. Assume that the tangent plane was computed at the point (xo, yo) correspond to the function f (x, y)? A 1.3 1.2 1.1 1 B 1.3 1.2 1.1 == (3, 1). Which of the following contour maps could с 1.3 1.2 1.1 1 0.9 0.9 0.9 0.8 0.8 0.8 0.7 0.7 0.7 2.7 2.8 2.9 3 3.1 3.2 3.3 2.7 2.8 2.9 3 3.1 3.2 3.3 2.7 2.8 2.9 3 3.1 3.2 3.3 x X x О а. В O b. None of the options could represent f О с. С O d. A The linear approximation of a function f (x, y) at a given point (xo, yo) is: z=x-2y-1 The gradient vector Vf (xo, yo) points in the same direction as the vector u = Select one: (1,2). O a. The gradient vector Vf (x0, yo) cannot be determined is we only know the linear approximation. O b. False ○ c. True
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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Transcribed Image Text:At the point (xo, yo), find the two directions in which the directional derivative D₁f (xn, yo) = −1.
Assume that the tangent plane was computed at the point (xo, yo)
correspond to the function f (x, y)?
A
1.3
1.2
1.1
1
B
1.3
1.2
1.1
==
(3, 1). Which of the following contour maps could
с
1.3
1.2
1.1
1
0.9
0.9
0.9
0.8
0.8
0.8
0.7
0.7
0.7
2.7
2.8 2.9
3
3.1
3.2 3.3
2.7 2.8 2.9
3
3.1 3.2 3.3
2.7
2.8
2.9
3
3.1 3.2 3.3
x
X
x
О а. В
O b. None of the options could represent f
О с. С
O d. A
Transcribed Image Text:The linear approximation of a function f (x, y) at a given point (xo, yo) is:
z=x-2y-1
The gradient vector Vf (xo, yo) points in the same direction as the vector u =
Select one:
(1,2).
O a. The gradient vector Vf (x0, yo) cannot be determined is we only know the linear
approximation.
O b. False
○ c. True
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