Use MATLAB to show that the sum of the infinite series (12 sigma^m _ n = 1 (-1)^n + 1^2)^1/2 (n = 1, 2, ..., , m) converges to pi. Do it by computing the sum for i.) m = 10 ii.) m = 1,000 iii.) m = 10,000 For each part create a vector n, and then use element-by-element calculations to compute the series. b.) If a ball is dropped down from a helicopter, its velocity as a function of time v(t) can be modeled by the equation: v = squareroot 2mg/rho AC_d (1 - e^squareroot pg C_d A/2m) where g = 9.81 m/s^2 is the gravitation of the Earth, Cd = 0.5 is the drag coefficient, rho = 1.2kg/m^3 is the density of air, m = 0.624 is the mass of the ball, and A is the projected area of the ball (r = 0.117m is the radius). Determine the velocity of the ball for t = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 s