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Unformatted text preview: Test 3 Review/ Homework Spring 2011 MATH 1550 - 19 p. 1 Name: Homework Directions: Submit 25 of the following problems, including 2 from each of the 10 sections. In other words, choose 2 problems from each section to do and then choose 5 more from any section. Test Review: Here are some sample problems to prepare for the test. Make sure to spread your effort out and do problems from each section. For the following functions, (1) Find the critical points (2) Find the possible inflection points (3) Determine the signs of the 1st and 2nd derivatives on the appropriate intervals (4) Find all the local maxima and minima and determine if there is an absolute maximum or minimum (5) Determine concavity on the appropriate intervals and determine the inflection points (6) Are there any horizontal or vertical asymptotes? 1. f ( x ) = 1 2 x 1 2. f ( x ) = 4 x 2- x 3 3. f ( x ) = cos( x ) 4. f ( x ) = x 3 x +2 5. f ( x ) = e 2 x x 2 2 x 6. f ( x ) = x x 2 +1 (Hint: Use LHopitals rule) Given the following data for 1st and 2nd derivatives and asymptotes, draw a graph that fits the data. 7. Interval (- ,- 2) (-2,-1) (-1, 0) (0, ) Asymptotes f + + +- Horizontal y = 2 f +- +- Vertical x = 0 8....
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- Spring '08