Given that
x2 + y1 + z2 − u2 + v2 = 1, x2 − y2 + z2 + u2 + 2v2 = 21,
a) find du and dv in terms of dx, dy, and dz at the point x = 1, y = 1, z = 2, u = 3, v = 2;
b) find (∂u/∂x)y,z and (∂v/∂y)x,z at this point;
c) find approximately the values of u and v for x = 1.1, y = 1.2, z = 1.8.
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