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MATLAB BASED ENGINEERING GRAPHICS 100 POINTS SHOW ALL YOUR WORK Problem 1: Multiply 3 by 2 and divide this product by the difference between 13 and 7. Display the results with "format", and the following styles: short, longE, shortEng, bank, and rat. 20 Problem 2: Use MATLAB functions to create complex numbers x=1+i, and find its real part, imaginary part, modulus, and argument, and calculate e. 20 Problem 3: (1) Create a vector x from 9 to 12 using 10 equally spaced points; (2) Using the vector from (1), find e* - 2x2 + x4. 10 Problem 4: Use the symbolic calculation to (1) Expand (x-2)(x+4); (2) Factor x-1; and (3) x + 5x+6 20 Simplify (x+2) 10 Problem 5: Solve the following system of equations 2x + y + z = 2 -x+y-z=3 x + 2y + 3z = -10 VER e Problem 6: In figure 2, plot the function f (x) equally spaced points with step size 0.01. (x-1)2 2 over the interval of x in (-3, 3) using 20 Problem 7: (Not required, bonus credit) Let x = 2.3, find the values of the following expressions by typing in the correct MATLAB commands. 10 (1) e-*sin(1001x) (2) - In |(- 5)/(x + 2) Page 1 of 1 (Show details for partial credit)