# 3 3 cx 3 e 1 x 2 15 y 1 x 3 cos x c 16 y x 2 c x 2 17

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Chapter 3 / Exercise 48
Trigonometry
McKeague/Turner
Expert Verified
3 3 + Cx 3 e 1 /x 2 15. y = 1 x 3 [ - cos x + C ] 16. y = x 2 + C x 2 17. y = 1 ln x [(ln x ) 2 + C ] 18. y = sin 2 x + C sin x 19. y = - 1 2 + x + Ce - 2 x 20. y = 1 x [ - x cos x + sin x + C ] 21. y = x 2 22. y = ( x + 1) 5 + 2( x + 1) 3 3 23. 38.11 kg. 24. 141.1 lbs. 25. 20.11 lbs. 26. 57 minutes 27. y = e - 2 x ( c 1 cos 2 x + c 2 sin 2 x ) 28. y = c 1 e - 4 x + c 2 e - x 29. y = e x [ c 1 cos 3 x + c 2 sin 3 x ] 30. y = c 1 e - 3 x + c 2 xe - 3 x 31. y = c 1 e - x + c 2 xe - x 32. y = e x/ 2 ( c 1 cos 3 2 x + c 2 sin 3 2 x ) Section 2 1. x 2 = 4 y 2. r = 2(3 cosθ - sin θ tan θ ) 9. r = 2 sec θ 10. r 2 cos θ sin θ = 4 11. r 2 cos 2 θ - r 2 sin 2 θ = 1 12. r = 4 sin θ 13. Area = 3 π 2 - 4 14. Area = 1 - π 4 15. Area = 5 π 4 16. A = 6 π 17. 6 π 18. 2 - π 4 19. A = π 2 20. A = a 2 3 (3 π - 8) 21. m = 3 2 22. m = - 3 23. S = Section 3 2. S = 1 27 (13 13 - 8) 3. dy dx = 1 2 5. d 2 y dx 2 = - 2 2 6. y = 9 x - 12 7. 2, concave up. 8. 10 9. 3 π
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Chapter 3 / Exercise 48
Trigonometry
McKeague/Turner
Expert Verified