(a) Use a CAS to graph y 3J1(x) x J 1(x) on an interval so that the first five positive
Chapter 12, Problem 11(choose chapter or problem)
(a) Use a CAS to graph \(y=3 J_{1}(x)+x J_{1}^{\prime}(x)\) on an interval so that the first five positive x-intercepts of the graph are shown.
(b) Use the root-finding capability of your CAS to approximate the first five roots \(x_{i}\) of the equation
\(3 J_{1}(x)+x J_{1}^{\prime}(x)=0\) .
(c) Use the data obtained in part (b) to find the first five positive values of \(\alpha_{i}\) that satisfy
\(3 J_{1}(4 \alpha)+4 \alpha J_{1}^{\prime}(4 \alpha)=0\) .
See Problem 7.
(d) If instructed, find the first 10 positive values of \(\alpha_{i}\).
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