Deck 11: Extension F: Partial Derivatives

Question 1

Find the equation of the normal line to the given surface at the specified point.

A)
B)
C)
D)
E)

Answer 1

Question 2

Suppose that over a certain region of space the electrical potential V is given by Find the rate of change of the potential at in the direction of the vector

A) 20
B) 44
C)
D) -2.91
E)

Answer 2

-2.91

Question 3

Find equations for the tangent plane and the normal line to the surface with equation at the point

A) ,
B) ,
C) ,
D) ,

Answer 3

,

Question 4

If use the gradient vector to find the tangent line to the level curve at the point

A)
B)
C)
D)
E)

Question 5

Find the directional derivative of the function at the point in the direction of the unit vector that makes the angle with the positive x-axis.

A) 1
B)
C)
D) 11