Consider the following statements about the surface of the equation z = 2x / (ln (y) +1) - (y + 1) / x and the point P (−2, 1) in its domain: I. The value of the least directional derivative of z at point P is −√106. II. The directional derivative of z at point P is maximum if it is calculated in the direction of the vector w = (2, 5). III. There is no direction from P such that the directional derivative of z computed in such address as a result of −6. Of the above statements are TRUE: A) Only the I. B) Only III. C) None. D) Only II.
Consider the following statements about the surface of the equation z = 2x / (ln (y) +1) - (y + 1) / x and the point P (−2, 1) in its domain: I. The value of the least directional derivative of z at point P is −√106. II. The directional derivative of z at point P is maximum if it is calculated in the direction of the vector w = (2, 5). III. There is no direction from P such that the directional derivative of z computed in such address as a result of −6. Of the above statements are TRUE: A) Only the I. B) Only III. C) None. D) Only 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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Consider the following statements about the surface of the equation z =
2x / (ln (y) +1) - (y + 1) / x
and the point P (−2, 1) in its domain:
I. The value of the least directional derivative of z at point P is −√106.
II. The directional derivative of z at point P is maximum if it is calculated in the direction of the
III. There is no direction from P such that the directional derivative of z computed in such
address as a result of −6.
Of the above statements are TRUE:
A) Only the I.
B) Only III.
C) None.
D) Only II.
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