Question

the temperature of the point such the space is given by T(x,y,z)=x²+y²+z² A mosquito located (1,1,2) desires to fly in such a direction that it will walr as soon as possible in what direction should it move?​

Answer 1

The mosquito should move in the direction of 2ax + 2ay - az.

Hope this helps!

Answer 2

Answer:

(2 i + 2j +4k )/ √24

Step-by-step explanation:

actually such that question we find the gradient D = dt/dx +dt/ dy +dt/dz

D = 2x i + 2y j + 2z k at point (1,1,2)

D = 2i +2j +4 k

unit vector of D is (2 i + 2j +4k )/ √24