What is the area bounded by $\rm y=\sqrt{16-x^2}$, y ≥ 0 and the x-axis?

The curve y = -x³ + 3x² + 2x - 27 has the maximum slope at:

A 24 cm long wire is bent to form a triangle with one of the angles as 60°. What is the altitude of the triangle having the greatest possible area?

If f(x) = e^|x|, then which one of the following is correct?