Let f(xy)=x+y . For a0 , the level set f(xy)=a is a closed curve in 2 . Find the area enclosed by this curve, as a function of a
Consider the rule for f(x, y) in each quadrant. Then you should see that f(x, y) = a defines a diamond with vertices at (a, 0), (0, a), (-a, 0) and (0, -a). It should be no trouble to get the area .....
Consider the rule for f(x, y) in each quadrant. Then you should see that f(x, y) = a defines a diamond with vertices at (a, 0), (0, a), (-a, 0) and (0, -a). It should be no trouble to get the area .....
|x| + |y| = a: By definition of the modulus operator: