How do i code when i have to locate all maximum and minimum values, intervals of increase and decrease, and inflection points.

Thanks 

How do I write this in Maple?

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.

Thank you!

How do I write this in maple?

Find the maximum value of l f"(x)l on the indicated interval. f(x)= sqrt1+x^2  [0,2]

Thank you!

How do I write this in maple?

The figure shows a circle with radius 1 inscribed in the parabola y = x^2 . Find the center of the circle.

Thank you!

How do I write this out in maple?

Sketch the graph of y =x^2+7x+3/x^2 , locate all maximum and minimum values, intervals of increase and decrease, and inflection points.

Thank you!