(1 point) Compute the starting and ending positions (at times t = 0 and t = 1, respectively) for the path of motion described by the following vector-valued function. Function: f(t) = (2t,4t4,2t2 7 4) Starting point: ( , . ) Ending point: ( , , ) Now compute the derivative of that same vector-valued function. Answer: ( , , ) Now compute the starting and ending velocities for that same vector-valued function. Starting velocity: ( , , > Ending velocity: ( , . > (1 point) Find the parametric equations for the tangent line to the curve m:t371,y:t3+l,z:t4 at the point (26, 28, 81). Use the variable t for your parameter. a: : , y = , Z: (1 point) Suppose Ht) 2 cos(7rt)i + sin(7rt) j + 3th: represents the position of a particle on a helix, where z is the height of the particle. (a) What ist when the particle has height 15? t : (b) What is the velocity of the particle when its height is 15? (it (c) When the particle has height 15, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter t) as it moves along this tangent line. LO?)