This question is meant to be answered in Python 3.5. PLEASE ONLY ANSWER IF YOU H

Question

This question is meant to be answered in Python 3.5. PLEASE ONLY ANSWER IF YOU HAVE THE CODE REQUIRED.

The following is the procedure provided. I just need help constructing my python codes to do the following.

Use "import numpy.polynomial.legendre as lpoly" to load the module for working with Legendre polynomials.

1) plot the first 5 legendre polynomials between -1 and +1

2) use "scipy.optimize.brentq" to determine the zeros of the 5th order Legendre polynomial

3) write a function to find zeros using the "secant method" as described in https://en.wikipedia.org/wiki/Secant_method. This is essentially the same as Newton's method, but uses a discrete approximation for the derivative.

4) apply your function to determine the zeros of the 5th order Legendre polynomial

Explanation / Answer

1.) import scipy.special as sp

sp.legendre(2)

poly1d([ 1.5, 0. , -0.5])

sp.legendre(2)(np.linspace(-1,1,5))

2.)

3.)

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