Question 4

5 po

For the function f(x, y) = 32²-4y², answer the following questions:

a. Find the range. Give your answer in interval notation. [1 point]

Note: If needed use the oo and symbols available on the palette.

b. What values can k assume? Give your answer in interval notation. [1 point]

(a)

ola

001

⠀⠀⠀

0

15

c. Classify the typical level curves except for &-0. The typical level curves of f(x,y)-3a²-4y can be

described as a family of fors

[1 point)/nd. Which of the following is the graph of the level curve for k=0. [1 point]

O

H

e. The surface f(x, y) = 3²-4y² can be described as cick for List

typical level

ng is the graph of the eve

a parabole cylinder

nic parabol

cribed as Click for List

[1 point]