Solved: For functions of one variable it is impossible for a con tinuous function to
Chapter 14, Problem 37(choose chapter or problem)
For functions of one variable it is impossible for a con tinuous function to have two local maxima and no local minimum. But for functions of two variables such functions exist. Show that the function has only two critical points, but has local maxima at both of them. Then use a computer to produce a graph with a carefully chosen domain and viewpoint to see how this is possible.
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