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Suppose a lady bug is flying about 3-space and now is at the point (0,2,3). Say...

Suppose a lady bug is flying about 3-space and now is at the point (0,2,3). Say the temperature at each point is given by T(x,y,z) = x^3 + z^2 - 2ye^x.

a) What direction should the lady bug fly in order to lower her temperature the fastest?

b) What direction could the lady bug fly in order to keep her temperature constant?

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