408CF07assign1 - the tank t hours after the tank begins to...

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M C Fall Assignment Due Thursday, September Youmust show su cient work in order to receive full credit for a problem. Please write legibly and label the problems clearly. Circle your answers when appropriate. Multiple papers must be stapled together. Write your name and the time of your discussion section on each page. Youmay use calculators for arithmetcic. I strongly discourage you from using a calculator to do any algebraic simpli cation, etc., since you will not be allowed to use one on the exams. Feel free to discuss these problems with your classmates. However, each student must write up his or her own solution. . A right cylindrical tank is being lled with water. The volume in liters of water in
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Unformatted text preview: the tank t hours after the tank begins to ll is given by V t = t + t . Approximate the instantaneous rate at which water is entering the tank one hour after the tank begins to ll. Explain clearly how you arrive at your approximation. You may not use derivatives! For problems and , evaluate each limit or explain clearly why it does not exist. . lim x ! x ; x ; . lim x !; x x + + x + . True or false? Justify your answers. a If lim x ! c f x + g x exists,but lim x ! c g x does not exist, then lim x ! c f x does not exist. b If lim x ! c f x exists, then lim x ! c f x exists....
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This note was uploaded on 04/17/2008 for the course M 408c taught by Professor Mcadam during the Fall '06 term at University of Texas at Austin.

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