In: Math
Problem 13.2: Where on the parametrized surface ~r(u; v) = [1
+
u3,v2,uv]T is the temperature T(x,
y, z) = 2 + x + 12y - 12z minimal?
To nd the minimum, look where the function f(u; v) = T(~r(u, v))
has an
extremum. Find all local maxima, local minima or saddle points of
f.