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Mathematics, 07.07.2021 01:00 davisearron

Create a polynomial that has only the specified extrema. Determine the minimum degree of the function. Using the fact that the coordinates of the extrema are solution points of the function, and that the x-coordinates are critical numbers, determine a system of linear equations whose solution yields the coefficients of the required function. Relative minimum: (0, 0); Relative maximum (2, 2)

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