Matlab i need this in matlab equations.

3) A round billboard with radius R - 55 in. is designed to have a rectangular picture placed. inside a rectangle with sides a and b. The mar- 10 1n gins between the rectangle and the picture are 10 in. at the top and bottom and 4 in. at each side. Write a MATLAB program that deter mines the dimensions a and b such that the overall area of the picture will be as large as possible. In the program define a vector a with values ranging from 5 to 100 with increments 41m of 0.25. Use this vector for calculating the corresponding values of b and the overall area of the picture. Then use MATLAB's built-in function max to find the dimensions of the largest rectangle. Picture 5) The surface of many airfoils can be described with an equation of the form JV Thickness max where t is the maximum thickness as a fraction of the chord length c (e.g., maxct). Given that c - 1 m and t - 0.2 m, the following values for y have been measured for a particular airfoil: 0.5 0.7 x(m)11 0.15 | 0.35 y (m)0.08909 0.099140.088230.061070.03421 0.85 Determine the constants ao ai, a2, , and a4. (Write a system of five equa- tions and five unknowns, and use MATLAB to solve the equations.)