(S) State your question or problem: Thoroughly define the problem and explain what the problem is asking you to do.
(M) Make inquiries: Explain fully any details of the problem that will be necessary to know in order to solve the problem. List and explain other pertinent information that the problem may be asking.
(0) Options for action or resolution: Explain how you plan to solve the problem.
(K): Know or keep a plan: Show all necessary steps in solving the problem and clearly state the solution(s).
(E) Evaluate the results: To validate your results, check your solutions (show your work). Make sure to answer all questions asked.
Problem:
Let R be the region enclosed by $y = 0$, $y = e^{x^2}$, $x = 0$, and $x = 1$. The region R is revolved about the y-axis. Find the volume of the solid generated. Express the final answer in its exact form. Show all of your work.
Solve the problem and answer the following questions.
1. List all steps and rules you used to solve the problem.
2. Explain why you chose the rule(s) you used. Could the problem have been solved another way? What difficulties might you encounter using a different method?
