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Problem 13.2: Where on the parametrized surface ~r(u; v) = [1 + u3,v2,uv]T is the temperature T(x, y,...

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Basic 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 off.

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