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(Solved): T(x,y,z)=1300ex22y2a2 where T is measured in C and x,y, and z in meters. 1. Find the ra ...
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T(x, y, z)=1300 e^{-x^{2}-2 y^{2}-a^{2}}
\]
where \( T \) is measured in \( { }^{\circ} \mathrm{C} \) and \( x, y \), and](https://media.cheggcdn.com/study/450/450d34df-d161-41ba-bf44-698eea6e9d0c/image)
where is measured in and , and in meters. 1. Find the rate of change of the temperature at the point in the direction toward the point . Answer: 2. In what direction does the temperature increase fastest at ? Answer: 3. Find the maximum rate of increase at . Answer:
Expert Answer
T(x,y,z)=1300 e?x2?2y2?z2Find Tx(x,y,z), Ty(x,y,z) and Tz(x,y,z) Tx(x,y,z)=1300 e?x2?2y2?z2 (?2x) Ty(x,y,z