Due Date: See Canvas A cantilever I-beam is loaded with a distributed load, as shown. The deflection y, of the centerline of the beam as a function of the position, x, is given by the equation: Wo w=wocos Vy X y = Wo L 37 EI 3 3 32 33 (48 L cos (TX) - 48 1 +3 LX = ) Where L=3 m is the length of the beam, E=70 GPa is the elastic modulus, I=52.9 x10-6 m is the moment of inertia, and Wo = 15 kN/m. Find the position x where the deflection of the beam is 9mm. In solving this problem use a convergence criterion of 1.0%, and an initial step size of .5 for the Secant Method. First, re-write the given equation in the form of f(y) = .... and plug in all the constants. This equation must be captured in your Excel file and on the same worksheet as the Graphical method below. (5 pts.) Second, approach it first using the Graphical Method and figure out the number of root(s). Remember that just generating the plot isn't sufficient! Also, at this point and in every numerical problem make sure all roots do make sense. If they don't, then state why, and do not continue working on them for the following three approaches. This should be done in Excel. (5 pts.) Next, create a Function in MATLAB to solve this problem using the Bisection Method. The function should ask for all the inputs and return a single root. I'll demo this in class. (30 pts.) Next, create a second Function in MATLAB to solve this problem using the False Position Method. (30 pts.) Finally, create a third Function in MATLAB to solve this problem using the Secant Method. (30 pts.) Only a soft copy of the Excel file and three MATLAB Functions need to be turned in on Canvas on or before the due date and by 4 p.m. You should name your Excel file so that it follows: HW-2-AKCK where the last four letters are your & your partner's initials. The MATLAB files do not need to follow this naming convention and will need to be the names of the functions. This homework may be worked on as a team effort or you can go solo on it. If you work in a team, then only one partner needs to upload his/her files onto Canvas, but make sure your Excel file captures the names of both partners.