Find the length of the curve correct to four decimal places. (Use a calculator or computer to approximate the integral.) r(t) = (cos(t), 2t, sin(2t)), from (1, 0, 0) to (1, 8, 0) Need Help? Read It PREVIOUS ANSWERS 4. [1/1 Points] DETAILS MY NOTES ASK YOUR TEACHER SCALCET9 13.3.013.MI. PRACTICE ANOTHER Let C be the curve of intersection of the parabolic cylinder x = 2y, and the surface 3z = xy. Find the exact length of C from th origin to the point 5, 25 125 155 6 Need Help? Read It Watch It Master It PREVIOUS ANSWERS 5. [0.75/1 Points] DETAILS MY NOTES ASK YOUR TEACHER SCALCET9 13.3.014.EP. PRACTICE ANOTHER Consider the following. the length of the curve of intersection of the cylinder 16x + y = 16 and the plane x + y + z = 9 Let C be the curve of intersection. Using t as the parameter where 0 t 2, write parametric equations for C and give the corresponding vector equation r(t). r(t) = (cos(t), 4 sin(t), 4 sin(t) = cos(t) +9) Find r'(t) and Ir'(t)]. r'(t) = (-sin(t), 4 cos(t), sin(t) - 4 cos(t)) |r'(t)| 1 = Find the length of C. (Round your answer to four decimal places.) 0 Need Help? Read It