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For functions of one variable it is impossible for a continuous function to have two local maxima and no local minimum. But for functions of two variables such functions exist. Show that the function f(x, y) = -(x^2 - 1)^2 - (x^2y - x - 1)^2 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. | Numerade
For functions of one variable it is impossible for a continuous function …
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numerade.com
10 12 3 13 14 fx n the table above gives values of the continuous function f at selected values of x if f has exactly two critical points on the open interval 10 14 which of the following mu 03174
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Oct 17, 2021
numerade.com
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