3. Solve Example 3.7 (Bergman, Lavine, Incropera, and DeWitt, 6th Ed., pp. 129-132, or 7th Ed., pp. 145-149, or 8th Ed., pp. 134-138), but use the finite difference method. T T = 30C Insulation- A=1.5 x 106 W/m- KA = 75 W/m-K h = 1000 W/mK 111 A B Water LA = 50 mm -kg = 150 W/m-K 9B = 0 LB = 20 mm Use seven nodes, placed at x = 0.0, 10.0, 20.0, 30.0, 40.0, 50.0, and 70.0 mm. Show your work to derive a system of algebraic equations and then use Excel or Matlab (or your other favorite program) to obtain the solution for temperatures at the nodes. Graph the temperature distribution (with your computer program of choice, not by hand). Compare your results to the values given in the text.