please show all work.

using Matlab complete the following questions of the Parabolic Interpolation. fill in the charts below with the equation.

1. Given the function f(x)=1.5x62x4+12x a. Plot the function. Please include the plot in the lab. b. Employ initial guesses of x1=0 and x2=1, and x3=2 and perform three iterations by hand like we did in class. Fill out the table below. To save you time, I have created the MATLAB equation to compute x4 that you can paste into MATLAB. c. What is the max/min of this function? List both the x-position and the function value. x4=x20.5((x2x1)2(f2fx3)(x2x3)2(fx2fx1))/((x2x1)(f2f3)(x2x3)(fx2f1)) 2. Given the function f(x)=4x1.8x2+1.2x30.3x4 a. Plot the function. Please include the plot in the lab b. Employ initial guesses of x1=1.75 and x2=2, and x3=2.5 and perform five iterations to solve for the maximum value. For this problem, develop a MATLAB file to execute the iterations. As a starting point, you can begin with the Golden section code from the last lab. Provide your MATLAB code in text format. (not a screen capture). In order to test your code and verify it works, you might want to rerun problem 1 above and verify the results match. c. What is the maximum of this function? List both the x-position and the function value. d. Populate the table below with the results x4=x20.5((x2x1)2(fx2fx3)(x2x3)2(fx2f1))/((x2x1)(f2fx3)(x2x3)(fx2fx1))