Question

Describe the function's level curves:

f(x,y)=ln(x^2+y^2)

Answer 1

i don't see a curve ... it's a fucntion of x and y, if f=z, you get a surface

Answer 2

The set of points in the plane where a function f(x,y) has a constant value f(x,y)=c is called a level curve of f.

So yes there are level curves

Answer 3

then i guess so, however then it's a equation of circle

Answer 4

how so, doesent the ln function contribute anythings

Answer 5

with center 0,0 and radius C if the constant is lnC

Answer 6

man, im just not geting it. How is it a circle

Answer 7

f(x,y)=ln(x^2+y^2) = K = some ln(C)

or x^2+y^2 = C which is circle, oops radius sqrt(c)