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The temperature at a point (x,y,z) is given by T(x,y,z)=9e^(-3x^2-2y^2-6z^2) Where T is in degrees celsius and x,y andz are in meters. a) Find the

The temperature at a point (x,y,z) is given by T(x,y,z)=9e^(-3x^2-2y^2-6z^2)

Where T is in degrees celsius and x,y andz are in meters.

a) Find the rate of change in Temp at the point P(1/6,1/7,1/8) in the direction towards the point (5/6,4/7,2/8)

b)Find the direction of the fastest temp increase

c)Find the maximum rate of increase at P

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