Sketch the level curves f−1(c) for the following functions:
f(x, y, z) = x − y2 − z2, c = −1, 0, 1.
Sketch the level curves f−1(c) for the following functions:
(a) f(x, y) = x2 + y2, c = 0, 1, 2, 3, 4.
(b) f(x, y, z) = x − y2 − z2, c = −1, 0.
Prove them
K=|r'×r"|/|r'|^3
T=[r', r",r"]/K^2(r')^6