Find the length of the function r = (9-2t, 4 + 2t, √2t²) on 0 ≤ t ≤ 1. For the vector function from the previous problem, what is T()

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A:

Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: 144y+312y+ 169y= 0. y(0) = 6. (0) = 6. %3D %3D

A: Let the given differential equation be, 144y''+312y'+169y=0 Assume the solution of the differential…

Q: Determine the domain of the following vector function

A: Step 1:Step 2:

Q: Suppose f(x, y) = xe -8x²-8y². Answer the following. 1. Find the local maxima of f. List your…

A: