Deck 11: Extension A: Partial Derivatives

Question 1

Find and sketch the domain of the function

Answer 1

Question 2

Describe the level surfaces of the function

Answer 2

A family of parallel planes with normal vector

Question 3

Describe the level survaces of the function

Answer 3

A family of parallel planes with normal vector

Question 4

Two contour maps are shown.One is for a function f whose graph is a cone.The other is for a function g whose graph is a paraboloid.Which is the contour map of a cone?

A) impossible to determine
B) II
C) I

Question 5

A contour map for a function f is shown.Use it to estimate the value of

A) 35
B) 28
C) 48
D)
E) 78