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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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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
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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