A mechanism known as a four-bar linkage is shown in the figure below. Mechanisms such as this are used in mechanical systems to generate a specific output motion in response to an input motion. This four-bar linkage is a one-degree-of-freedom mechanism; if the position of any one of the links is known, the position of all of the other links can be found. Assume that there is a motor driving link 2; if the angle of link 2(theta_2) is specified, the angle of link 4 fa) can be found through the solution of the following equation: I_1 = I_4 cos theta_4 - I_2 cos theta_2 + Squareroot I_3^2 - (I_4 sin theta_4 - I_2 sin theta_2)^2 where (l_i) =is the length of link i. Write a MATLAB script program to find the input angles that would produce an output angle 80 degree, for a system with (l_1) = 6 in, (l_2) = 4 in, (l_3) = 7 in, and (l_4) = 5.2 in. your function should not use the (f_cero) (or any other) built-in Matlab root finding functions. Instead you should write your own Matlab function that uses the bisection method without recursion to find a root. The function should estimate a root of any function, with the root brackets, function handle, and tolerance passed to it as input arguments and the estimated root as the output argument. A mechanism known as a four-bar linkage is shown in the figure below. Mechanisms such as this are used in mechanical systems to generate a specific output motion in response to an input motion. This four-bar linkage is a one-degree-of-freedom mechanism; if the position of any one of the links is known, the position of all of the other links can be found. Assume that there is a motor driving link 2; if the angle of link 2(theta_2) is specified, the angle of link 4 fa) can be found through the solution of the following equation: I_1 = I_4 cos theta_4 - I_2 cos theta_2 + Squareroot I_3^2 - (I_4 sin theta_4 - I_2 sin theta_2)^2 where (l_i) =is the length of link i. Write a MATLAB script program to find the input angles that would produce an output angle 80 degree, for a system with (l_1) = 6 in, (l_2) = 4 in, (l_3) = 7 in, and (l_4) = 5.2 in. your function should not use the (f_cero) (or any other) built-in Matlab root finding functions. Instead you should write your own Matlab function that uses the bisection method without recursion to find a root. The function should estimate a root of any function, with the root brackets, function handle, and tolerance passed to it as input arguments and the estimated root as the output argument