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The temperature at a point (x,y,z) is given by T(x,y,z)=100e−x2−3y2−7z2 where T is measured in ∘C and x,y,z in meters. (
Posted: Thu Jul 14, 2022 4:21 pm
by answerhappygod
- The Temperature At A Point X Y Z Is Given By T X Y Z 100e X2 3y2 7z2 Where T Is Measured In C And X Y Z In Meters 1 (46.68 KiB) Viewed 38 times
The temperature at a point (x,y,z) is given by T(x,y,z)=100e−x2−3y2−7z2 where T is measured in ∘C and x,y,z in meters. (a) Find the rate of change of temperature at the point P(4,−1,5) in the direction towards the point (5,−2,6). ∘C/m (b) In which direction does the temperature increase fastest at P ? (c) Find the maximum rate of increase at P.