Using Scilab or Matlab. Thanks!

1. Compare the convergence of 5x-exp(8x)+3=0 for both Newton's Method and Bisection Method. For the bisection method, use a=0 and b=1. For the Newton method use x0=1. For both, use tolerance of 10^-7.

2. Consider y'=texp(2t)-4y, y(0)=0. Find the solution. Construct a table with the real solution, Euler solution, Runga-Kutta (ODE) solution, and errors. Compare the errors. Plot the approximations and solution. Use 0<=t<=1 and N=10.

3. Make a Taylor Series for f(x)=exp(-1/3*x) centered at x=0. Show plots for a second order polynomial and a fifteenth order polynomial on -3<=x<=3.