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Answer the following questions based on the gradient of the scalar Temperature function T(x,y,z)=x2+y2+z2100 at the poi
Posted: Thu Jul 14, 2022 4:37 pm
by 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 35 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 35 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+5r(t)=(2t,t,5t)r(t)=(1+t,1+t,1+t)r(t)=(2(1+t),1+t,5(1+t)⟩