For the rod in 12: G a. Plot u versus x for t = 5, 10, 20, 40, 100, and 200. G b. For
Chapter 10, Problem 20(choose chapter or problem)
For the rod in 12: G a. Plot u versus x for t = 5, 10, 20, 40, 100, and 200. G b. For each value of t used in part a, estimate the value of x for which the temperature is greatest. Plot these values versus t to see how the location of the warmest point in the rod changes with time. G c. Plot u versus t for x = 10, 20, and 30. G d. Draw a three-dimensional plot of u versus x and t. N e. How long does it take the entire rod to cool to a temperature of no more than 1C? N
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