Chapter 12.3, Problem 19E

(19) (a)

To determine

To Calculate: The Velocity vector, speed and acceleration vector of the object for position vector $r\left(t\right)=\langle e^t\cos t,e^t\sin t,e^t\rangle$.

(b)

To determine

Velcoity vector and acceleration vector at given t for position vector $r\left(t\right)=\langle e^t\cos t,e^t\sin t,e^t\rangle$.