Read the instruction carefully. Show all relevant work. Simplify your result if possible. Total points: 100 1. For the vector function T (t) = (2 sin 3t)i + (3 cos 3t)j + (e-5t)k, find the parametric equation for the line that is tangent to r at t = 0. [4]\f6. Suppose the position vector function is 7'0) : (t (3050i + (t Sin [)5 + 02)]; The acceleration function can be written as 30) = (17' + my , whore (IT and (1N are tangential and normal components of the acceleration, respectively. Find arr and (1N. [8:4,4] 7. A particle is moving along the path T)(t) : (3 eost)i + (2 sin iii, 0