6- [10 points] The Integrand equation for cycloid is given by: Derive the equation of the Cycloid and estimate the following: a. The amount of time when falling between (0,0), and (1,2) corresponding to minimum amount? b. Calculate the time taken to descent from (0,0) to (1,2) in a straight line? Show that it always takes longer c. If an approximate solution is thought for the above integral using Rayleigh-Ritz between (0,0) and (1,2). Assume an equation and find the corresponding coefficients