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)=sin(2.3x)+5.8x326. If the series is based at x0=0.0 and the approximation is evaluated at x1=0.1, what is the value of a second order (quadratic) approximation of f(x1) ? Use the Taylor series to estimate the value of the function: f(x)=sin(1.5x)6.6x2+94. If the series is based at x0=0.0 and the approximation is evaluated at x1=0.8, what is the value of a second order (quadratic) approximation of f(x1) ? Use the Taylor series to estimate the value of the function: f(x)=sin(0.5x)+5.9x3+54. If the series is based at x0=1.1 and the approximation is evaluated at x1=1.9, what is the value of a second order (quadratic) approximation of f(x1) ? Use the Taylor series to estimate the value of the function: f(x)=cos(1.5x)+6.8e0.3x2.3. If the series is based at x0=1.6 and the approximation is evaluated at x1=1.1, what is the value of a second order (quadratic) approximation of f(x1)