I need help with #2

11:10 a webassign.net 2. [-/6 Points] DETAILS SCALCET8 13.1.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find a vector equation and parametric equations for the line segment that joins P to Q. P (0, - 3, 4), ( (4. 4, 2) vector equation r (t) = parametric equations (x(t), y(t), z(t)) = Need Help? Read it Watch It Talk to a Tutor Submit Answer Viewing Saved Work Revert to Last Response 3. [5/5 Points] DETAILS PREVIOUS ANSWERS SCALCET8 13.1.032. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER At what points does the helix r(t) = (sin(t), cos(t), t) intersect the sphere x2 + y2 + z2 = 82? (Round your answers to three decimal places. If an answer does not exist, enter DNE.) (x, y, z) = -0.412, - 0.911, - 9 (smaller t-value) (x, y, z) = 0.412, - 0.911, 9 (larger t-value) Need Help? Read It Talk to a Tutor 4. [7/7 Points] DETAILS PREVIOUS ANSWERS SCALCET8 13.1.050. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two particles travel along the space curves ri(t) = (t, t2, +3) rz(t) = (1 + 2t, 1 + 6t, 1 + 14t). Find the points at which their paths intersect. (If an answer does not exist, enter DNE.) (x, y, z) = 1, 1, 1 (smaller x-value) ( x, y, z) = 2, 4, 8 (larger x-value) Find the time(s) when the particles collide. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t = DNE Need Help? Read It Talk to a Tutor 5. [4/4 Points] DETAILS PREVIOUS ANSWERS SCALCET8 13.2.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the given vector equation. r(t) = 4 sin(t)i - 3 cos(t)j (a) Find r'(t) (4 cos(t) i + 3 sin(t) i) (b) Sketch the plane curve together with position vector r(t) and the tangent vector r(t) for the given value of t = 371/4