14. Which of the 1o||owing statements Is true? The volume of the solid fon'ned by rotating the region bounded by thegraph of y = 22, x = 3. y = 0 around the y-axis Is (2 points) 16. Determine if the Mean Value Theorem for Integrals applies to the function f(x) =2vx on the interval [0, 4]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. (2 points) No, the theorem does not apply. Yes, x= 10 Yes, X = 3 Yes, x= 25 9 17. For an object whose velocity, in ft/sec is given by v(t) = 2sin(t), what is its distance, in feet, travelled on the interval t = 1 to t = 5? (2 points) 0.513 5.648 1.918 0.65418. The velocity, in ft/sec of a particle is given by v(t) = -18t - 2. Find the position function s(t) of the particle if it has an initial position s(0) = 5 feet. (2 points) -18+2 - 21 + 5 O -912 - 2t - 5 O -912 - 21 + 5 912 - 2t - 5 19. Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y =1 . (2 points) O -2cos(x) 2-2cos(x) 1 -2cos(x) O -2-2cos(x)