Curvature and Radius of Curvature — Engineering Board Exam Practice Questions

6 free engineering board exam reviewer questions on Curvature and Radius of Curvature (Differential Calculus), each with the correct answer and a worked solution.

1. Find the radius of curvature of the ellipse x=2 t, y= t at the point (2,0).
2. At what value of x does the curve y=ex have its maximum curvature?
3. Find the radius of curvature of the parabola y2=4x at the point (1,2).
4. Find the radius of curvature of y= x at x= π2.
5. Find the curvature of y=x3 at x=1.
6. Find the radius of curvature of y=x2 at x=1.