Pre-Calc Homework Solutions 229

Pre-Calc Homework Solutions 229 - Chapter 5 Review 10 229...

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Unformatted text preview: Chapter 5 Review 10 229 12. (a) 0 x 3 dx x sin x dx e 24. 1 1 dx x 36 (2x e ln x 1 1 1 0 1 1) 1) 3 2 10 (b) 0 1 25. 0 1)3 dx 0 36(2x 9(2x 1 dx 1 0 10 (c) 0 x(3x 10 2)2 dx dx 2 ( 9) 8 (d) 0 10 1 1 x2 (e) 0 9 x sin dx 10 2 26. 1 x 1 dx x2 2 (x 1 x 2) dx x 1 2 0 13. The graph is above the x-axis for 0 x-axis for 4 Total area 0 x 4 and below the 1 2 x 2 3 2 0 1 2 1 2 1 /3 x 4 6 6 (4 4x [8 x) dx 4 (4 4x x) dx 1 2 x 2 6 4 27. sec x tan x dx /3 sec x 2 1 1 2 x 2 4 0 1 0] [6 8] 10 28. 1 2 2x sin (1 2 y 1 x 2) dx 2 ln y 4 cos (1 2 x 2) 1 1 1 1 0 14. The graph is above the x-axis for 0 x-axis for Total area 0 x 2 and below the 29. 0 dy 1 0 2 ln 3 0 2 ln 3 2 x /2 30. Graph y cos x dx /2 x 2 on [0, 2]. cos x dx /2 sin x 0 sin x /2 (1 2 0) 10 2 5 (0 1) ( 10) 2 20 [ 1.35, 3.35] by [ 0.5, 2.6] 2 15. 2 5 5 dx 5x The region under the curve is a quarter of a circle of radius 2. 2 16. 2 4x dx /4 2x 2 50 2 /4 8 42 2 2 2 2 1 4 0 x 2 dx 1 (2)2 4 31. Graph y 0 7x 1 x dx on [ 4, 8]. 17. 0 1 cos x dx (3x 2 4x sin x 0 18. 1 7) dx x3 6 2x 2 ( 10) 16 1 [ 4, 8] by [0, 8] 1 The region under the curve consists of two triangles. 3 0 3 8 19. 0 2 (8s 3 4 dx x2 12s 2 4 x 2 5) ds 2 1 2s4 ( 4) 27 4s3 2 5s 0 x dx 4 1 (4)(4) 2 1 (8)(8) 2 40 20. 1 32. Graph y 2 64 x 2 on [ 8, 8]. 27 21. 1 y 4/3 dy 3y 1/3 1 1 ( 3) 4 22. 1 dt t t /3 4 t 1 3/2 dt 2t /3 1/2 4 1 1 ( 2) 1 [ 9.4, 9.4] by [ 3.2, 9.2] 23. 0 sec2 The region under the curve y of radius 8. 0 3 8 64 x 2 is half a circle 1 (8)2 2 d tan 0 3 2 8 64 x 2 dx 8 2 8 64 x 2 dx 2 64 ...
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