A horizontal beam of length L is supported at each end (x = 0 and x = L), as shown below. Suppose an external vertical force F is applied to the beam at location a, where a is measured from the left end of the beam (note that + b = L). Then the vertical deflection of the beam at some point x, x a, is determined by the expression Fbx y = 6EIL (x + b L) for a xL where y is the vertical deflection, E is the modulus of elasticity (also known as Young's modulus), and I is the moment of inertia of the cross-sectional area of the beam. Suppose a 15-ft beam is made of steel (E = 30 10 psi), and the moment of inertia is I = 7 in. If a vertical force of 25,000 lb is applied at a = 6 ft, determine: a. Location at which maximum deflection takes place, given by x = L2-b2 3 b. Location to the left of the vertical force (solve for x a) at which deflection is equal to 0.75 times the maximum deflection. Parts b and c must be done using the following methods: 1) Using fzero or solve in matlab. 2) Using the 5 user-defined functions submitted in Programming Assignment 2 and 3. All codes must use the following stopping criteria until an accuracy of at least 8 significant figures is reached. 3) Compare method 1 (Real) and each of the functions in part 2 (Calculated) Current approximation - Previous approximation!