C. (8 pts) A 70 lb bag of rice is being pulled by applyinga force F at an angle as shown. The force required to drag the bag is given by: 70 sin + cos where = 0.35 is the friction coefficient. Determine: (a) (3 pts) Fa for ,-0, 5, 10, 15, 20, 25, 30, 35, 40, 45. Enter the variable theta as a vector using the : operator. (b) (5 pts) the angle 0 where Fis minimum. Do it by creating a vector 0, with elements ranging from 0o to 45 and spacing of 0.01. Calculate F, for each value of 0b and then find the minimum Fand the associated 0 with MATLAB's built-in function min). Write the command plot (theta b, F b) at the end of your script to plot Fb versus b. Hint from the help of min function: [Y, Imin (X) returns the index I of the minimum value in a vector X If the values along ntl morthn onermed