Consider f(x) = max(0, sin(x)) on (-2,7]. (a) (1 point) Interpolate f(x) at 21 evenly spaced points r; in -1,7, i = 0, ... 20. You can use the polyfit function. Denote the resulting interpolation polynomial by p(2). Plot on the same plot f(L) and p(x) at 200 evenly spaced points in -1,7). (b) (1 point) Instead of polyfit use spline and produce a plot as in (a). () (1 point) Instead of the above points ri, now use 21 Chebyshev points. Use polyfit and produce a plot as in (a). (d) (1 point) Explain the differences in the plots in (a) and (c)