need hand written solution urgently

Q 1. (a). To solve the equation 2x = cos x + 3 and find the root correct to three decimal places by using fixed point iteration method. Perform four iterations. [CLO-1: LOL: C-3, PLO- 1]. (b). To solve the equation e-* = 10x and find the root correct to four decimal places using false position method perform three iterations. [CLO-1: LOL: C-3, PLO- 11. Q 2. (a). To solve the equation y = xe* - cosx, by using Newton's Raphson method for correct to three decimal places perform five iterations. [CLO-1: LOL: C-3, PLO- 11. (b). To solve the given problem by applying Newton's Raphson method, with x. = 1 for f(x) = x5 + 0.65x3 + 0.4x2 - 1.66x - 1.42. [CLO-1: LOL: C-3, PLO-1). Q 3. (a). (i). Show that Ei = #+ (ii). Show that AS = 4+ (b). Show that EV= A= 8Ez [CLO-1: LOL: C-3, PLO- 1]. Q 4. (a). Using Newton's Forward interpolation formula and evaluate f(15) for the following data. X 10 20 30 40 50 60 Y 46 66 81 93 101 110 [CLO-1: LOL: C-3, PLO- 1). (b). Solve 42(x2 + 6x + 12). Q 5. (a). Apply Gauss forward interpolation formula to obtained y(39) if X 15 30 45 60 75 90 Y 0.23 0.32 0.33 0.45 0.47 0.5 [CLO-1: LOL: C-3, PLO- 11. (b). Apply Gauss backward interpolation formula and find the papulation for the year 1925 for the following X 1902 1912 1922 1933 1944 1955 V 13 16 23 27 30 35 [CLO-1: LOL: C-3, PLO- 11