f (3) Facebook x Dashboard X Home : uvi-stolz-mat-242-summ x M Inbox (1) - shona.hendrickson@ x - V webwork.runestone.academy/webwork2/uvi-stolz-mat-242-summer-2022/quiz_mode/exam_2/?effectiveUser=900109194 Problem 3. (1 point) Remaining time: 119:27 (m Use the method of cylindrical shells to find the volume of the solid generated by rotating the region bounded by the curves y = e , y = 0, x = -1, and r = 0 about the line x = 1. Volume = preview answe Problem 4. (1 point) A rocket accelerates by burning its on-board fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation v(t) = -gt - VeIn ( m =rt ) m where g is the acceleration due to gravity and t is not too large. If g = 9.8 m/s', m = 30000 kg, r = 160 kg/s, and ve = 3000 m/s, find the height (in meters) of the rocket one minute after liftoff. Height = meters preview answers Problem 5. (1 point) 93 F Sunny W 9 12:36 pm 24/07/2022