Replace the bounds by setting a = 2 and b = 5 in the following: Simpson's Rule Spreadsheet Exact formula Example f(x) Solution (a+b)/2 f(a) f((a+b)/2) f(b) Approximate Solution Exact Solution Difference 1 f(x) = x+3 0.5x-+3x 2.5 4.0000 5.5000 7.0000 16.50 16.50 0.00 f (x) = x +3x2+4x +5 0.25x +x +5x 4 2.5 13.0000 55.3750 133.0000 183.75 141.75 42.00 f(x) = 2cos(x) 2sin(x) 4 2.5 1.0806 -1.6023 -1.3073 -3.32 -3.20 0.12 UI A W N f(x) = 3xe-3x (1/3)(-3x-1)e 3x 4 2.5 0.1494 0.0041 0.0001 0.08 0.07 0.02 f(x) = 3/x 3In(x) 2.5 3.0000 1.2000 0.7500 4.28 4.16 0.12 For each example, list (1) the Approximate Solution, (2) the Exact Solution and (3) the Difference. Based on the question which class of the equation had the biggest % difference between the exact solution and approximate solution? select one a) Linear b)Trigonometric c) Exponential d Polynomial Explain how you get the Exact solution and Approximate solution