(a) In suppose that a b p and f(x) 100x(p x). Without
Chapter 12, Problem 12.1.93(choose chapter or problem)
(a) In suppose that a b p and f(x) 100x(p x). Without using the solution u(x, y), sketch, by hand, what the surface would look like over the rectangular region defined by 0 x p, 0 y p. (b) What is the maximum value of the temperature u for 0 x p, 0 y p? (c) Use the information in part (a) to compute the coefficients for your answer in 1. Then use the 3D-plot application of your CAS to graph the partial sum S5(x, y) consisting of the firs fiv nonzero terms of the solution in part (a) for 0 x p, 0 y p. Use different perspectives and then compare with your sketch from part (a). 1
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