Question 3

For the function f(x,y) = 42²+5²-112, answer the following questions:

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

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

a)

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

elitt

11

⠀⠀

c. Classify the typical level curves. The typical level curves of f(x,y)-42²+5²-112 can be descri

as a family of c

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

U

-15 -10

D

c. Classify the typical level curves. The typ

as a family of co

d. Which of the

e. Find the value that would generate the level curve as a point (0,0,-112). [1 point]

Mumber

t. The surface f(x,y) - 42²+5y²-112 can be described as

-[1 point]

okgee

described as

ft