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1. Write a function that can return each of the first three spherical Bessel functions jn(z): sin T jo(r) E sin T COST jl (r)
1. Write a function that can return each of the first three spherical Bessel functions jn(z): sin T jo(r) E sin T COST jl (r) G-10 sin. 3 cos ac j2(r) Your function should take as arguments a NumPy array r and the order n, and should return an array of the designated order n spherical Bessel function. Take care to make sure that your functions behave properly at r 0. Demonstrate the use of your function by writing a on routine that plots the three Bessel functions for 0 S z S 20. Your plot should look like the one below. Something to think about: You might note that ji (z) can be written in terms of jo (z), and that j2(z) can be written in terms of ji(ar) and jo(r). Can you take 1. Write a function that can return each of the first three spherical Bessel functions jn(z): sin T jo(r) E sin T COST jl (r) G-10 sin. 3 cos ac j2(r) Your function should take as arguments a NumPy array r and the order n, and should return an array of the designated order n spherical Bessel function. Take care to make sure that your functions behave properly at r 0. Demonstrate the use of your function by writing a on routine that plots the three Bessel functions for 0 S z S 20. Your plot should look like the one below. Something to think about: You might note that ji (z) can be written in terms of jo (z), and that j2(z) can be written in terms of ji(ar) and jo(r). Can you take
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