For the rod in 12:(a) Plot u versus x for t = 5, 10, 20,

Chapter 10, Problem 17

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

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