Tutorial 12 Answer - Tutorial 12 (Answers) Introduction to...

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Unformatted text preview: Tutorial 12 (Answers) Introduction to Calculus and Linear Algebra Tutorial 12 Answers Introduction to Calculus and Linear Algebra 2 y 2 / 3 + y -2 + C e x 2 5/ 2 + e +C 2 5 1 4. x + ln x 2 - + C x 2 7 / 2 2 3/ 2 t - t +C 6. 7 3 1 8. ln y - 10 y - 2e - y / 2 + C 3 1 2 10. (t + 1) 6 + C 12 1 2 12. ( x + 2 x + 5)13 + C 26 -1 14. +C ln x 2. 16. 2 ln( x + 1) + C 1. 3. u 1.1 u 2.1 - +C 3.3 2.1 5 11 5. - x 4 + x 3 - x 2 + C 4 3 1 2t 7. e + 2e t + t + C 2 1 x2 9. e +C 2 2 11. ln y 5 + 1 + C 5 3 13. ln x 5 + 5 x 4 + 10 x + 12 + C 5 1 15. [ln( x 2 + 1)]2 + C 2 1 2 2 -3 x 17. - x 2 e -3 x - xe -3 x - e +C 3 9 27 19. 1 x 4 e sin 4 x - e x cos 4 x + C 17 17 18. 20. 1 3 1 x ln x - x 3 + C 3 9 2 1 sin 2 x cos x - cos 2 x sin x + C 3 3 21. f ( x) = 2 x 2 + x - 1 23. f ( x) = -e - x + 25. f ( x) = 22. f ( x) = x3 +5 3 x4 2 5 + + 2x - 4 x 4 1 1 24. f ( x) = - (1 - 2 x) 5 / 2 5 5 3 1 4- x 2 - e 2 2 Page 1 of 1 ...
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This note was uploaded on 03/19/2012 for the course COMP 3868 taught by Professor Keithchan during the Spring '97 term at Hong Kong Polytechnic University.

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