Answer the following questions based on the gradient of the scalar Temperature function T(x,y,z)=x2+y2+z2100​ at the poi

[answerhappygod]

Answer The Following Questions Based On The Gradient Of The Scalar Temperature Function T X Y Z X2 Y2 Z2100 At The Poi 1 (56.12 KiB) Viewed 33 times

Answer The Following Questions Based On The Gradient Of The Scalar Temperature Function T X Y Z X2 Y2 Z2100 At The Poi 2 (56.12 KiB) Viewed 33 times

Answer the following questions based on the gradient of the scalar Temperature function T(x,y,z)=x2+y2+z2100​ at the point P(2,1,5​). You can complete the following questions before proceeding with this quiz. 1. Calculate the direction of maximum increase of T at P. 2. Calculate the maximum increase of T at P. 3. Calculate the rate of change of T at Pin the direction of ⟨3,6,35​⟩. 4. Find an equation of a plane tangent to T at P. 5. Find an equation of a line tangent to T at P. You can neatly complete your work in a file upload problem for partial credit where applicable. Question 5 5 pts The equation of a line tangent to T at P is y=2x​+5​r(t)=(2t,t,5​t)r(t)=(1+t,1+t,1+t)r(t)=(2(1+t),1+t,5​(1+t)⟩​