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)=cos(1.2x)+1.6x25.5. If the series is based at x0=0.0 and the approximation is evaluated at x1=0.8, what is the value of a first order (linear) approximation of f(x1) ? Use the Taylor series to estimate the value of the function: f(x)=cos(0.3x)7.2x2+9.1. If the series is based at x0=0.0 and the approximation is evaluated at x1=0.9, what is the value of a first order (linear) approximation of f(x1) ? Use the Taylor series to estimate the value of the function: f(x)=cos(0.7x)+3.7sin(1.1x)+3.1. If the series is based at x0=2.0 and the approximation is evaluated at x1=1.8, what is the value of a first order (linear) approximation of f(x1) ? Use the Taylor series to estimate the value of the function: f(x)=e2.2x+4.4x3210. If the series is based at x0=1.9 and the approximation is evaluated at x1=1.0, what is the value of a first order (linear) approximation of f(x1)