(a) Investigate the family of polynomials given by the equation f(x) = 2x3 + cx2 + 2x....
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(b) Show that the minimum and maximum points of every curve in the family lie on the curve y = x – x3. Illustrate by graphing this curve and several members of the family.
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a fx 2x cx 2x fx 6x 2cx 2 23x cx 1 fx 0 c 12 So f has cri...View the full answer
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