f(x,y)=x2+3y2−2 .

Question

f(x,y) = x^2 + 3y^2 − 2 

Which of the following points is on the level curve f(x,y) = 5?

a) (1,3)

b) (2,1)

c) (0,4)

d) (3,0)

Answer 1

b) 2^2 + 3(1)^2 -2 = 4+3-2 = 5

(2,1) is on the graph of f(x,y)