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please solve with matlab code After successfully generation of you simpson.m. Evaluate the integral for n=2,8,10,50,100 for the problem depicted here in Part 2. Record

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After successfully generation of you simpson.m. Evaluate the integral for n=2,8,10,50,100 for the problem depicted here in Part 2. Record your results for each approximation in a MS-Excel Table together with the TRUE ERROR and use these in your report doc file. We could use the function that you generated in Part 1 to evaluate an integral. Suppose the velocity of a parachutist is given as the following function of a time: v(t)=cgm(1e(c/m)t)Equation(2) Where, v is the velocity (m/s),g is the gravitational constant of 9.81m/s2,m is the mass of the parachutist equal to 68.1kg, and c is the drag coefficient of 12.5kg/s. The model predicts the velocity of the parachutist as a function of time. Suppose we would like to know how far the parachutist has fallen after a certain time t. The distance is given by d=0tv(t)dt where d is the distance in meters. Error in multiple segmen Simpson's 1/3 rule is expressed as Ea=180n4(ba)5f(4)Equation(4) a) plot the v(t) function from 0 to 25sec interval. Show the labels and units etc... b) evaluate the integral d with multiple-segment Simpson's 1/3 rule using different number of segments, ie n=2,8,10,50,100. Record your results for each approximation in an MS-Excel Table. c) Evaluate the exact result (analytical result, you need to calculate the integral by hand) for the integral for the same interval. Use 7 significant figures in your result. d) For every n value, also evaluate the approximate error using Equation (4). e) Show the results in the table for results from part (b) together with the exact result (only one true result) from part(c), also calculate the true error for each approximation

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