6y 8 (2). Consider the following statements about the surface of the equation z = y² In(x) - r +1 and the point P (1, 2) in its domain: I. The value of the maximum directional derivative of z at point P is V58. II. The directional derivative of z at point P is minimal if computed in the direction of the vector w = (-7, 3). III. There is no direction from P such that the directional derivative of z calculated in that direction, results in 8. Of the above statements are TRUE: A) All. B) Only I and II. C) Only I and II. D) Only Il and II.
6y 8 (2). Consider the following statements about the surface of the equation z = y² In(x) - r +1 and the point P (1, 2) in its domain: I. The value of the maximum directional derivative of z at point P is V58. II. The directional derivative of z at point P is minimal if computed in the direction of the vector w = (-7, 3). III. There is no direction from P such that the directional derivative of z calculated in that direction, results in 8. Of the above statements are TRUE: A) All. B) Only I and II. C) Only I and II. D) Only Il and II.
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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![6y
8 (2). Consider the following statements about the surface of the equation z = y? In(r) –
I +1
and the point P (1, 2) in its domain:
I. The value of the maximum directional derivative of z at point P is v58.
II. The directional derivative of z at point P is minimal if computed in the direction of the vector
w = (-7, 3).
III. There is no direction from P such that the directional derivative of z calculated in that direction,
results in 8.
Of the above statements are TRUE:
A) All.
B) Only I and III.
C) Only I and II.
D) Only Il and III.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7757513-3316-44e6-9188-abd594d6f853%2Fca04c216-62b8-4477-9758-02db5fa28237%2Fi4obwq3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6y
8 (2). Consider the following statements about the surface of the equation z = y? In(r) –
I +1
and the point P (1, 2) in its domain:
I. The value of the maximum directional derivative of z at point P is v58.
II. The directional derivative of z at point P is minimal if computed in the direction of the vector
w = (-7, 3).
III. There is no direction from P such that the directional derivative of z calculated in that direction,
results in 8.
Of the above statements are TRUE:
A) All.
B) Only I and III.
C) Only I and II.
D) Only Il and III.
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