Chapter 3: Applications of Differentiation
Section 3.5: Curvature of a Plane Curve
Example 3.5.3
Obtain and graph the curvature for .
Solution
Type Context Panel: Assign Function
Write the formula for curvature.
Context Panel: Evaluate and Display Inline
=
Figure 3.5.3(a) contains a graph of , the curvature function for .
Figure 3.5.3(a) can be obtained interactively via the Context Panel options Plot Builder≻2-D plot.
The maximum curvature (2) occurs at the origin, and as increases, the curvature decreases toward zero.
Figure 3.5.3(a) Curvature of
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