Use Maxima to answer the following questions.

- Problem 12.4.16. In addition, graph the region and find the moments of inertia about the x-axis, y-axis, and origin.
- Problem 12.5.44.
- Problem 12.6.24.
- Problem 12.7.40.
- Problem 12.8.24. In addition, sketch the region R and the transformed region S. You might want to see the page on drawing with Maxima as well as the Graphics with Maxima book.