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Information for quiz 10 in math 170, including instructions, two math problems, and a physics problem. The first math problem involves using the intermediate value theorem and newton's method to find the solution of an equation. The second math problem requires finding the most general antiderivative of a function. The physics problem deals with a hot air balloon and the height at which a package was dropped.
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You may work with other class members on this quiz, but you may not receive assistance from people not in your MATH 170 section. You must show all of your work to receive full credit. Do all your work on other pieces of paper and be sure to staple together all the pieces of paper or YOU WILL GET A ZERO ON THE QUIZ. Do not use decimal approximations unless asked to do so. Your work on this quiz must be handed in by the beginning of class on Friday, 21 April 2006. Good luck!
a) Use the Intermediate Value Theorem to prove that (1) has a solution. b) Use Newton’s method to estimate this solution. Stop when you are convinced that your answer is accurate to five places to the right of the decimal point (here, of course, we use decimal approximations).
f (x) = 3
x − sin x + x−^1 − ex^ + 2.