In problems dealing with IVPS and IBVPs for partial differential equations, start by identifying the type of equation and the corresponding parameters (e.g. "heat equation, ẞ = 3, L = 2” or "wave equation, c = √√3"), the type of boundary conditions (e.g. "homogeneous Dirichlet boundary conditions" or "none") and the formula used for the solution. In problems involving Fourier sine series and Fourier cosine series, state the value of L, show the formula used for calculating the coefficients and simplify your answer using the identities sin(n) = 0 and cos(n) = (-1)" for all integer values of n. 3. Consider the function 0, 0 < x <π f(x)= 2π -x, ≤x≤2π (a) Calculate the Fourier sine series expansion of f(x) on [0,2]. (b) Calculate the value to which series in part (a) converges at x = 4. Explain your answer. (c) Calculate the value to which series in part (a) converges at x = 7. Explain your answer. (d) Calculate the value to which series in part (a) converges at x=-1. Explain your answer.