Test 3 - Spring 2011 MATH 1550 19 p 4 8 Find i 4 π sin(4...

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Test 3 Spring 2011 MATH 1550 - 19 p. 1 Name: Show several steps for each calculation problem. Partial credit will be given. Read the directions for each problem and solve the problem using the stated method. Check your work if you have time. Good luck. 1. Draw a graph that corresponds to the following data. Make sure to appropriately label your graph. Interval (- , - 1) (-1,1) (1, 4) (4, ) Asymptotes f + - - - Horizontal y = -2 f ′′ + + - + Vertical x = -1 2. Write out, in summation notation, the Riemann sum R 6 for the function f ( x ) = e 3 x 2 on the interval [2 , 4].
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Test 3 Spring 2011 MATH 1550 - 19 p. 2 3. Using L’Hopital’s rule, compute lim x 0 sin 2 x 3 x 2 - 2 x + 1 4. Using L’Hopital’s rule, compute lim x →∞ 3 x - 4 x 2 + 2 - x + 5 - 2 x 2
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Test 3 Spring 2011 MATH 1550 - 19 p. 3 5. Find i (12 x 3 - 2 3 x 1 / 3 + 4) dx 6. Find i (csc 2 (2 x ) - e 2 x ) dx 7. Find i 5 e e ( 3 3 x + e ) dx
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Test 3
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Unformatted text preview: Spring 2011 MATH 1550 - 19 p. 4 8. Find i 4 π sin(4 x-π 2 ) 9. Compute the derivative d dx i ln(sin x ) 2 ( e 4 t ) dt 10. Solve the diferential equation dy dx =-csc(3 x ) cot(3 x ) where y ( π 4 ) = 1 Test 3 Spring 2011 MATH 1550 - 19 p. 5 11. Suppose that some function f ( x ) has derivative f ′ ( x ) = x 2 (4-x ) 3 . Find the critical points Find the possible in±ection points Compute the signs of the ²rst and second derivatives on the appropriate intervals Test 3 Spring 2011 MATH 1550 - 19 p. 6 What are the local maxima and minima of this function? Determine the concavity of the function on the appropriate intervals. 12. (Extra Credit) What is i cot x ?...
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This note was uploaded on 12/28/2011 for the course MATH 1550 taught by Professor Wei during the Spring '08 term at LSU.

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Test 3 - Spring 2011 MATH 1550 19 p 4 8 Find i 4 π sin(4...

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