1. By computer, plot graphs of $J_p(x)$ for $p = 0, 1, 2, 3$, and $x$ from 0 to 15.
2. From the graphs in Problem 1, read approximate values of the first three zeros of
each of the functions. Then, by computer, find more accurate values of the zeros.
3. By computer, plot $N_0(x)$ for $x$ from 0 to 15, and $N_p(x)$ for $p = 1, 2, 3$, and $x$ from
1 to 15.
4. From the graphs in Problem 3, read approximate values of the first three zeros of
each of the functions, and then find more accurate values by computer.
5. By computer, plot $\sqrt{x}J_{1/2}(x)$ for $x$ from 0 to $4\pi$. Do you recognize the curve? See
Problem 12.9.
6. By computer, find 30 zeros of $J_0$ and note that the spacing between consecutive
zeros is tending to $\pi$.
