What is the difference between the disk (or washer) method and shell method? Please provide your answer along with at least one example for each method. Your examples must contain complete question and solutions for each method. Be sure to provide the graphs, closed region, and the resulting solid to support your set up.

Give an example of a problem/scenario where second-order ODES can be used as the mathematical model. List all methods for solving second-order ODES that we had covered in this course.

If you roll two dice, each with 8 faces,  what sum is most likely to appear from the two dice?   Write out each step and explain what you are doing in each step.