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?

Expert Solution

Colby Messinger answered 2 years ago

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