Question: [20p.] A bug located at point A(3,4,2) begins crawling on a surface with temperature T(x,y,z)=xe-z2 in a straight line toward point B(5,6,3). At what rate

[20p.] A bug located at point A(3,4,2) begins crawling on a surface with temperature T(x,y,z)=xe-z2 in a straight line toward point B(5,6,3). At what rate is the bug's temperature changing? In what direction should the bug crawl so that its temperature increases most rapidly? In what direction does the temperature decrease most rapidly at point A? What is the biggest rate of change of the temperature at point A? Units are degrees Celsius and meters.

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