Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter DNE.) r(t) = cos(t)i + 3 sin(t)j (a) r(0) = (b) r(π/4)= (c) r(0 - π) =

Given the vector function 7(t) = (t, sin (t) – t cos (t), cos (t) +t sin (t)) Calculate B (34)

(19) Consider the vector function 7(t) = (cos (3t), sin (3t) , 3t). Write 7" () in the form ar () T () + aN () N () by finding all four of these quantities.

The vector function r(t) is the position of a particle in space at time t. Determine the graph of the position function. r(t) = (3t cos t)i + (3t sin t)j + 2tk