Consider the statements about the surface of equation: n²y z = y² sin x + and the point P (1, 2) in its domain X 1- The value of the maximum directional derivative of z at the point P is ² + 36 2- The directional derivative of z at the point P is minimum when calculated in the following vector direction w-(6, 7). 3- There is no direction from P such that the directional derivative of z computed in that direction results in 10. Which of the statements is true? A) All B) None C) Just 3 D) Just 1
Consider the statements about the surface of equation: n²y z = y² sin x + and the point P (1, 2) in its domain X 1- The value of the maximum directional derivative of z at the point P is ² + 36 2- The directional derivative of z at the point P is minimum when calculated in the following vector direction w-(6, 7). 3- There is no direction from P such that the directional derivative of z computed in that direction results in 10. Which of the statements is true? A) All B) None C) Just 3 D) Just 1
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:Consider the statements about the surface of equation:
л²у
z = y² sin x + and the point P (1, 2) in its domain
x
1- The value of the maximum directional derivative of z at the point P is ² + 36
2- The directional derivative of z at the point P is minimum when calculated in the following
vector direction w=(6, 7).
3- There is no direction from P such that the directional derivative of z computed in that
direction results in 10.
Which of the statements is true?
A) All
B) None
C) Just 3
D) Just 1
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