o D @ TG = AN | T Exercise 1.4: Use Goal Seek to find root(s) of the following functions. Plot the functions first to obtain an approximation of a desired root. a. f(x) = x3 17x + 12 = 0 b. J/(x) = 0 J, is the Bessel function of the first kind of order 1. It can be computed in Excel using the BESSELJ() function. This function has an infinite number of roots; find the root between 2 and 5. c. Solve for the molar volume of a gas at 400 K and 1200 kPa using the van der Waals equation of state. The critical temperature and pressure are 500 K and 80 atm, respectively. Use the ideal gas solution for your initial guess. d. Solve the Colebrook equation for the Darcy friction factor, f, for a Reynolds number (NRe) of 105 and a roughness factor, elD, of 10-4 (this equation holds for Reynolds numbers > 4000): 1 2.51 Fucsomley /D + +0.86 In = 0 3.7 * NrVF Re