4. In each of the following problems, r(t)=(e' cost, e' sint, e') represents the position vector of particle in

space at time t.

a) Determine the velocity of the particle at time t.

b) Determine the speed of the particle at time t.

c) Determine the acceleration of the particle at time t./nd) Determine the unit tangent vector for the curve at time t.

e) Determine the principal unit normal vector for the curve at time t.

f) Determine the tangential component of acceleration at time t.

g) Determine the normal component of acceleration at time t.