Chapter 2: Space Curves
Section 2.4: Curvature
Obtain and graph the curvature of the catenary defined by y=coshx.
Context Panel: Assign Function
yx=coshx→assign as functiony
Write the formula for curvature.
Press the Enter key.
Context Panel: Simplify≻Assuming Real
Figure 2.4.5(a) contains a graph of κx, the curvature function for y=x2.
Figure 2.4.5(a) can be obtained interactively via the Context Panel option Plots≻Plot Builder.
Figure 2.4.5(a) Curvature of y=coshx
An alternative route to the curvature is via the Curvature command in the Student VectorCalculus package, provided the curve is represented as a position vector.
Tools≻Load Package: Student Vector Calculus
Write R=… as per Table 1.1.1.
Context Panel: Assign Name
Obtain the curvature
Apply the simplify command to the result of an application of the Curvature command.
simplifyCurvatureR,x assuming real
<< Previous Example Section 2.4
Next Example >>
© Maplesoft, a division of Waterloo Maple Inc., 2021. All rights reserved. This product is protected by copyright and distributed under licenses restricting its use, copying, distribution, and decompilation.
For more information on Maplesoft products and services, visit www.maplesoft.com
Download Help Document
What kind of issue would you like to report? (Optional)