USAAAO 2016, II кръг — Задача 3. Problem 3

(Read completely before you begin)

This is the second round qualification test for the USAAAO team. The test is short answer, consisting of 12 short questions and 2 longer, multipart questions. Once you begin, you will have two and a half hours (150 minutes) to complete the test. You may use the provided table of constants and a scientific calculator. No other materials are permitted.

Please show all your work. Answers without work will not receive credit. You will need to write your solutions on a separate sheet. Please begin a new page for each question, and number your pages. Please write as clearly as possible. Your test will be scanned for grading, so make sure that your writing is dark enough to be legible once scanned.

When you are done, please have your teacher scan your work and send it to usioaateam@gmail.com. We prefer to receive your work as a single pdf, named lastname_firstname.pdf.

Good luck.