Question 1 Match each graph with its equation. - O r(t) = [cos(t), sin(t), t] - Or(t) = [cos(t), t, sin(t) ] - or(t) = [t cos(t), th sin(t), t] - O r(t) = [t cos(t), t sin(t), t2 ] a. - or(t) = [cos(t), sin(t), t2 ] 2 b. C.y X d. Z e.\fQuestion 4 > Let r(t) = Find T' (t) r'( t) = Question 5 > Let r(t) = Vt Find /r(t)dt (don't include the +() i (t ) at =0 Question 6 ' Find the unit tangent vector to the curve defined by F(t) = (3 cos(t), 3 sin(t), 2 sin2(t)> t t 511' a = . 6 511' T = ( 6 ) . . . . . 57r Use the umt tangent vector to write the parametnc equations of a tangent [me to the curve at t = ? . mm = W) = z(t) =