1. Given a circle's center coordinates and radius, and a point's coordinates, determine if the point lies inside the circle.

2. Given three collinear points, p1, p2, and p3, and the coordinates of p2 and p3, and the distance between p1 and p2, find the coordinates of p1.

3. Find the ratio of the radius of the inscribed and circumscribed circles of a square of side length a.

4. Explain the stress-strain curve.

5. Strength of materials and machine design