Estimate f sinxdx with an error less than 0.001 by exploiting the properties of Taylor polynomials. b) Consider the system composed of two masses connect by springs of elastic coefficient k, k, k and of natural length I, 1, 1, that are fixed to the surface at points A and B. with the distance AB = L, as shown below in Figure Q4b. Find the general equilibrium values for x and x by making use of Hook's Law F = kax and matrix formulation for the equations of motion. Further, find the equilibrium solution when k = k = k = k and 1 = 1 = 1 = 1. A A D T T X R K 2. Figure Q4b: two mass-three springs system c) Figure Q4c shows an electrical network with mesh currents I, I2, Is, and I4, resistances R, R., R, R and Rs and voltage sources E, E, E, and E. Formulate a matrix solution for the unknow currents I, I, I, and I. Further, find the currents when the resistances are R = 3, R = 4, R = 1, R4 = 7 and R. = 4 and the voltages E = 6, E = 10, Ex = 5, E = 5. B T T O R k Rz || Figure Q4c: Electrical network B R F