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Unformatted text preview: MA141-001 Test 3 A March 29, 2010 Amanda Smith North Carolina State University Department of Mathematics Please put all work in the stamped blue book that has been provided. Nothing on this test sheet will be graded. Please put one problem on each page; you are allowed to use the back of the sheet as a new page. No calculators, formula sheets, or other aids are permitted. Please show all of your work. Simplify all solutions completely and clearly indicate your answers. Write your name on both the blue book and this test sheet. 1. Given the function f ( x ) = 2 + 2 x 2- x 4 , (a) [10 pts. ] Find the intervals of increase and decrease. (b) [10 pts. ] Find the local maximum and minimum values (if any). (c) [10 pts. ] Find the intervals of concavity. 2. Given that lim x a f ( x ) = 0, lim x a g ( x ) = 0, lim x a h ( x ) = 1, lim x a p ( x ) = , and lim x a q ( x ) = which of the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible.form, evaluate the limit where possible....
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