Chapter 8, Problem 24P

I need help with a MATLAB code. I am trying to solve this question. Based on the Mars powered landing scenariosolve Eq. (14) via convex programming. Report the consumed fuel, and discuss the results with relevant plots. I am using the following MATLAB code and getting an error. I tried to fix the error and I get another one saying something about log and exp not being convex. Can you help fix my code and make sure it works.   The error is CVX Warning:  Models involving "log" or other functions in the log, exp, and entropy  family are solved using an experimental successive approximation method.  This method is slower and less reliable than the method CVX employs for  other models. Please see the section of the user's guide entitled      The successive approximation method  for more details about the approach, and for instructions on how to  suppress this warning message in the future.Error using  .*  (line 173)Disciplined convex programming error:   Cannot perform the operation:…

Note: please  use integration for parabolic volume (Vp) of the fluid displaced due to rotation. (Make it simpe as possible to follow in the working out). Provide a clear, step-by-step simplified handwritten solution (with no extra explanations) that is entirely produced by hand without any AI help. I require an expert-level answer, and I will assess it based on the quality and accuracy of the work, referring to the attached image for additional guidance. Make sure every detail is carefully verified for correctness before you submit. Thanks!.

Note: use centroid method please  Provide a clear, step-by-step simplified handwritten solution (with no extra explanations) that is entirely produced by hand without any AI help. I require an expert-level answer, and I will assess it based on the quality and accuracy of the work, referring to the attached image for additional guidance. Make sure every detail is carefully verified for correctness before you submit. Thanks!.