Find r'(t), r(t), and r'(t) for the given value of to. Then sketch the space curve represented by the vector-valued function, and sketch the vectors r(t) and r'(t). r(t) = ti + t²j+k, t₁ = 2 r'(t) = r(to) = r'(to) = y -4 r A k -8, -2 2 Z Z 4 X 4 2-Y y 8 2 z e r' -2L 2

Q: Find r'(t), r(t), and r'(to) for the given value of to r(t) = (1+t)i + ³j, to = 1 (No Response)…

A: We have to find the values of r't, rt0, r't0 where rt=1+ti^+t3j^, t0=1 and sketch the curve…

Q: Find r'(t), r(t), and r'(to) for the given value of to- r(t) = (e², e²t), to = 0 r'(t) = r(to) =…

A: rt=et,e2t,t0=0

Q: Find all points on the curve r(t) = ti + t²j+t³k where its tangent line is parallel to the vector…

A:

Q: Consider the function f(x,y) = 3- a. Fill in the table with the values of the directional derivative…

A: Here to find the directional derivative at (a, b) of fin(x, y) the direction of unit vector u, v and…

Q: 3 - Find the Derivatives of the following Vectors, Where F(t)* = 2secti – 3j* + csctk and G(t)* =…

A:

Q: Find r'(t), r(t), and r'(to) for the given value of to. r(t) = 3 cos(t)i + 3 sin(t)j, to r'(t) =…

A: The given vector valued function