Question: Maple soft project

1) Without the aid of a graph, find the absolute maximum and minimum values of the function

f(x)=36x6 +2665x4 +240x−675+4534x2 −5836x3−516x5 over the interval [0,4]

2) Find points P and Q on the parabola y = 1 − x 2 so that the triangle ABC formed by the x-axis and the tangent lines at P and Q is an equilateral triangle.

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