Please code in MATLAB and explain how it works so that way I can do this with different numbers. Thank you.

Use the Taylor series to estimate the value of the function: f(x)=e1.1x7.7x29. If the series is based at x0=0.0 and the approximation is evaluated at x1=0.7, what is the value of a third order (cubic) approximation of f(x1) ? Use the Taylor series to estimate the value of the function: f(x)=sin(1.8x)8.4x+16. If the series is based at x0=0.0 and the approximation is evaluated at x1=0.2, what is the value of a third order (cubic) approximation of f(x1) ? Use the Taylor series to estimate the value of the function: f(x)=cos(1.6x)+8.4x2120. If the series is based at x0=3.0 and the approximation is evaluated at x1=3.9, what is the value of a third order (cubic) approximation of f(x1) ? Use the Taylor series to estimate the value of the function: f(x)=e2.2x9.8x3+240. If the series is based at x0=0.6 and the approximation is evaluated at x1=0.1, what is the value of a third order (cubic) approximation of f(x1)