Determine the degree of precision of the quadrature formula 5/9 f(-Squareroot 3/5) + 8/9 f(0) + 5/9 f(Squareroot 3/5) for approximating integral^1_-1 f(x) dx. Use the definition of degree of precision to do this, and show all of your work See Handout #27. Note that the interval of integration here is fixed at [-1, 1]. Use exact arithmetic here - do not use a numeric approximation for Squareroot 3/5. Show all your work (b) Use the quadrature formula in (a) to approximate integral^1_-1 e^-x Squareroot x + 2 dx. Either use your calculator or MATLAB to do the computations for evaluating the quadrature formula (use at least 7 significant digits). Show all your work and/or any MATLAB commands and results if used. Determine the degree of precision of the quadrature formula 5/9 f(-Squareroot 3/5) + 8/9 f(0) + 5/9 f(Squareroot 3/5) for approximating integral^1_-1 f(x) dx. Use the definition of degree of precision to do this, and show all of your work See Handout #27. Note that the interval of integration here is fixed at [-1, 1]. Use exact arithmetic here - do not use a numeric approximation for Squareroot 3/5. Show all your work (b) Use the quadrature formula in (a) to approximate integral^1_-1 e^-x Squareroot x + 2 dx. Either use your calculator or MATLAB to do the computations for evaluating the quadrature formula (use at least 7 significant digits). Show all your work and/or any MATLAB commands and results if used