(MATLAB ONLY) (MATLAB ONLY) (MATLAB ONLY)

Need help with thorough explanation for problem. Help me understand how and why to do what

Write the Taylor series expansion for f(t)=B*ta+l centered around t=2, up to the 4th derivative term (i.e. 5 terms total). In Matlab, calculate the true value for f(t) for t ranging from 0 to 10 in steps of 0.1 for a=0.2, B=10. Now calculate the Taylor series approximations for fusing the first 2, 3, 4, and 5 terms of the Taylor series of f(i.e. calculate 4 different approximation curves with the specified number of Taylor series terms to include). Plot the true curve and the 4 estimate curves on one plot with labels and legends (you can click insert legend' in the figure). Then, calculate the percent errors for the 4 estimate curves as a function of t, and plot the 4 percent error curves vs. t on one plot. You will know that your results are reasonable if the error is getting smaller with increasing order (i.e. number of terms in the Taylor expansion). Write the Taylor series expansion for f(t)=B*ta+l centered around t=2, up to the 4th derivative term (i.e. 5 terms total). In Matlab, calculate the true value for f(t) for t ranging from 0 to 10 in steps of 0.1 for a=0.2, B=10. Now calculate the Taylor series approximations for fusing the first 2, 3, 4, and 5 terms of the Taylor series of f(i.e. calculate 4 different approximation curves with the specified number of Taylor series terms to include). Plot the true curve and the 4 estimate curves on one plot with labels and legends (you can click insert legend' in the figure). Then, calculate the percent errors for the 4 estimate curves as a function of t, and plot the 4 percent error curves vs. t on one plot. You will know that your results are reasonable if the error is getting smaller with increasing order (i.e. number of terms in the Taylor expansion)