Chapter 11: Q18P (page 559)
Computer plot graphs of sn u, cn u, and dn u, for several values of k, say, for example, .Also plot 3D graphs of sn, cn, and dn as functions of u and k.
Short Answer
The graphs are shown below.



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Chapter 11: Q18P (page 559)
Computer plot graphs of sn u, cn u, and dn u, for several values of k, say, for example, .Also plot 3D graphs of sn, cn, and dn as functions of u and k.
The graphs are shown below.



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Sketch or computer plot a graph of the function .
Use the recursion relation (3.4), and if needed, equation (3.2) to simplify:
In Problem 4 to 13, identify each of the integral as an elliptic (see Example 1 and 2). Learn the notation of your computer program (see Problem 3) and then evaluate the integral by computer.
13.
Write the integral in equation (12.7) as an elliptic integral and show that (12.8)gives its value. Hints: Write and a similar equation for. Then make the change of variable.
Use Stirling’s formula to evaluate .
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