Suppose a lady bug is flying about 3-space and now isat the point (0,2,3). Say the temperature at each point is given byT(x,y,z) = x^3 + z^2 - 2ye^x.
a) What direction should the lady bug fly in order tolower her temperature the fastest?
b) What direction could the lady bug fly in order tokeep her temperature constant?
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