PLEASE USE MATLAB

Earlier in the semester, we found out that a researcher claimed that average VO2max level of cyclists can be determined by how many hours they train a week and approximated this hypothesis by the following function: VO2max = (0.1 * sin(0.07t) * t1.8) + 35 Where t is in hours and VO2max is in units of mLkg*min; A. The amount of time spent training varied between 0 and 40 hours. A recent test found Tzekih has a new VO2max of 54.5 (mLkg min 4). Use the false position method to work out how many training hours he does based upon the function above. Use a precision of le-4 and appropriate initial guesses by investigating the graph. In lab 3, we got that Tzekih did 18.5 hours of training. Write comments in your m-file as to why the present method is more accurate. B. Tzekih wants to know how many hours he must do a week to get the highest possible VO2max based upon the function above. Using the modified secant method with x=31, pert=0.05 and precision=1x104, calculate the maximum VO2max an athlete can achieve and how many ADDITIONAL hours Tzekih will need to do based upon your solution to task 4A. Your printed answer should look like this: "The maximum VO2 Tzekih can achieve is %% and he will need to do %% more hours than he is currently doing". C. Plot the VO2max function for t between 0 and 40 hours as a blue line. Plot Tzekihs current VO2max as a black diamond and the maximum VO2max possible as a red diamond. Note: The derivative with respect to time (t) is: d(102) = 0.007 * 11.8. cos(0.07t) + 0.18 0.8 * sin (0.07t) dt Earlier in the semester, we found out that a researcher claimed that average VO2max level of cyclists can be determined by how many hours they train a week and approximated this hypothesis by the following function: VO2max = (0.1 * sin(0.07t) * t1.8) + 35 Where t is in hours and VO2max is in units of mLkg*min; A. The amount of time spent training varied between 0 and 40 hours. A recent test found Tzekih has a new VO2max of 54.5 (mLkg min 4). Use the false position method to work out how many training hours he does based upon the function above. Use a precision of le-4 and appropriate initial guesses by investigating the graph. In lab 3, we got that Tzekih did 18.5 hours of training. Write comments in your m-file as to why the present method is more accurate. B. Tzekih wants to know how many hours he must do a week to get the highest possible VO2max based upon the function above. Using the modified secant method with x=31, pert=0.05 and precision=1x104, calculate the maximum VO2max an athlete can achieve and how many ADDITIONAL hours Tzekih will need to do based upon your solution to task 4A. Your printed answer should look like this: "The maximum VO2 Tzekih can achieve is %% and he will need to do %% more hours than he is currently doing". C. Plot the VO2max function for t between 0 and 40 hours as a blue line. Plot Tzekihs current VO2max as a black diamond and the maximum VO2max possible as a red diamond. Note: The derivative with respect to time (t) is: d(102) = 0.007 * 11.8. cos(0.07t) + 0.18 0.8 * sin (0.07t) dt