Sketch the plane curve represented by the vector-valued function and give the orientation of the curve. r(0) = cos(0)i + 6 sin(0)j O O -2 -2 y 5 -5 y -5 2 2 6 X X -6 -4 -2 -6 -4 -2 y 2 2 4 4 6 X X

Q: Find the vectors T and N and the binormal vector B = T x N, for the vector-valued function r(t) at…

A: Given, the vector-valued function  to find:  the vectors  and  and the binomial vector  at .

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: (a) Find [F(t) • G(t)] (b) Given p(t) = 3VE , evaluate [p(t)F(t)] dt

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Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = 5…

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Q: Question 1 Define the two vector valued functions of one variable u(t)= (-1/t, 2t, t²), v(t) := (t²,…

A: Let's find derivative of vector function.

Q: Evaluate the vector-vall function at each giver r(t) = cos(t)i + 3 sin(t)j (a) r(0) = (b) г(π/4)=…

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Q: A(t) = 3t²i - (t+4)j + (t²-2t)k B(t) = sin(t) i + 3e-¹j - 3cos(t)k Find d² (A x B) at t=0 dt²

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