The figure shows a pendulum with length & that makes a maximum angle 8 with the vertical. Using Newton's Second Law, it can be shown that the period 7 (the time for one complete swing) is given by 1/2 dx T = 4 g V1 - 12 sin (x) where k = sin -80 ) and g is the acceleration due to gravity. If L = 3 m and do = 460, use Simpson's Rule with n = 10 to find the period. (Use g = 9.8 m/s . Round your answer to five decimal places.) 3.62180 X s