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Unformatted text preview: Exam 2 Review Here are some suggested review problems to try in addition to those on quizzes, homeworks, and examples in class. Also, the answer to web assign questions are available online. Solutions to handouts will be scanned by Saturday, 3/1. Make sure to practice derivatives from the double-sided handout! 1. Use the limit definition of the derivative to find the derivatives of the following functions: (a) f ( t ) = t 2- 1 (b) g ( t ) = 1 t 2 (c) h ( t ) = t + 1 (d) s ( t ) = e 2 2. Given the following functions and their derivatives, x f ( x ) g ( x ) h ( x ) f ( x ) g ( x ) h ( x ) evaluate the following (a) F (0) if F ( x ) = f ( x ) g ( x ) (b) H (0) if H ( x ) = ( h + g )( x ) (c) K (0) if K ( x ) = ( h f g )( x ) 3. A certain family of meerkats has a population which doubles approxi- mately every 18 years. In the year 2000, a city zoo had 26 such animals. a. Find the formula of the form P = f ( t ) = ae kt for the meerkat popu- lation as a function of years since 2000.lation as a function of years since 2000....
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- Spring '08