IN MATLAB

Problem 2: Solve problem 22 on page 317 of Gilat's book. 1. Find derivatives x' (t) and y'(t) algebraically. 2. Write a MATLAB function that calculate derivatives x'(t) and y'(t) numerically with the central finite differences of the second order on the mesh with spacing t 21T/100. 3. Plot numerical x'(t) and y'(t) along with accurate values of the same derivatives 4. Write a MATLAB function implementing the integrand and calculate the integral with the trapezoidal rule on a mesh with spacing x = (b-a)/(N-1)=0.01. The length of a curve given by a parametric equation x(t), >(t) is given by: [x'(t)]2 + [y'(t)12 dt The cycloid curve is given by x = R(t-sin), and y = R(1-cost). Deter- mine the length of a oyeloid with R- s in. for osis2