Home | 18.022 | Chapter 3 | Section 3.2

Tools Index Up Previous Next

f (x, y) = x2 + y2, L defined by y = 2x

then on L, f become f / L and we have

f / L = f (x, 2x) = 5x^{2}:

ds^{2 }= dx^{2 }+ dy^{2 }= dx^{2 }+ 4dx^{2 }= 5dx^{2}

and so we get

and