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Ch 6 Exam Practice - =(1 y 2 e x y(ln π/2 = 1 2 Evaluate...

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Name_______________________ Dec. 6, 2006 Math 604 – Chapter 6 - Exam Practice The majority of the exam will include problems from homework. Although there is a wide range of problems the majority of them will be based on homework including the Post-Thanksgiving problems and the 3 AP free response problems. I also plan on asking you two find anti-derivatives that will be more challenging. The list below contains a mixture of problems that are straight forward with some very difficult problems. Have fun with these. As you look at these problems you should keep in mind the following set of tricks: a. Expand the numerator b. Separate the numerator over the common denominator c. Complete the square d. Divide improper rational functions e. Add and subtract terms in the numerator f. Use trigonometric identities g. Multiply and divide by a conjugate. 1. Solve the initial value problem dy
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Unformatted text preview: = (1 + y 2 ) e x , y (ln( π /2)) = 1 2. Evaluate sin-1 x dx ∫ 3. Evaluate 1 + e x ( ) 2 dx ∫ 4. Evaluate 3 x 2-4 x-5 dx ∫ Name_______________________ Dec. 6, 2006 5. Evaluate 1 + x x 2 + 1 dx ∫ 6. Evaluate dx x 2 + 4 ∫ 7. Evaluate e 2 x cos x dx ∫ 8. Evaluate 8cos 4 x dx ∫ 9. Evaluate cos 3 x dx ∫ 10. Evaluate ln x dx ∫ 11. Evaluate 1 2 x-x 2 dx ∫ Name_______________________ Dec. 6, 2006 12. Evaluate x sec 2 x dx ∫ 13. Evaluate x sec( x 2 ) dx ∫ 14. Evaluate 2 x 2-6 x + 10 2 4 ∫ dx 15. Evaluate 1 1 + e x dx ∫ 16. Solve the initial value problem: dx dt = .001 x (100-x ) with x (0) = 10 17. Evaluate x 4 + 2 x x 2 + 1 dx ∫ 18. Evaluate cot( x ) ∫ ln(sin x ) dx Name_______________________ Dec. 6, 2006 19. Evaluate 6tan 4 x dx ∫ 20. Evaluate cot(3 + ln x ) x dx ∫ 21. Evaluate 3 x 4 x 2 + 1 dx ∫ 22. Evaluate 1 1 + sin x dx ∫...
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