23 Suppose that over a certain region of space the temperatu

2.3) Suppose that over a certain region of space the temperature function T is given by

T (x,y,z) = 5y^2

Solution

d.)dT/dx=-3z+yz dT/dy=10y+xz dT/dz=-3x+xy At (1,1,1) dT/dx=-2 dT/dy=11 dT/dz=-2 So is the maximum rate of decrease of the temperature function at P0=-(-2i+11j+2k)=-11.35
2.3) Suppose that over a certain region of space the temperature function T is given by T (x,y,z) = 5y^2Solution d.)dT/dx=-3z+yz dT/dy=10y+xz dT/dz=-3x+xy At (1

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