Chapter 12.5, Problem 61E

(a)

To determine

To calculate: The curvature K of the curve $f\left(x\right)=x^4-x^2$ as a function of x by the use of computer algebra system.

(b)

To determine

To calculate: The circle of curvature to the graph of f when $x=0\text{ and }x=1$ also graph the function and two circles by the use of computer algebra system.

(c)

To determine

To graph: The function of the curvature $K\left(x\right)$ and compare it with the graph of the function $f\left(x\right)$.