Question

\[f(x,y) = 2^{x^2+y^2}\] draw level curves

Answer 1

Usually I set k=f(x,y), solve for y, and then draw curves for different values of k

What should I do in this case?

Answer 2

\[k=2^{-(x^2+y^2)}\\log_2k=-(x^2+y^2)\\-log_2k=x^2+y^2\]
Looks like they are going to be circles, but with a negative radius?

Answer 3

x^2+y^2=ln(r^ln2)

Answer 4

r=1
x^2+y^2=1 circle

Answer 5

r=2^ln2=2^0.69..=1.6168..

Answer 6

how did you get \[\ln(r^{\ln2})\]