March 2011
Intermediate to advanced
829 pages
25h 44m
English
Content preview from Technical Mathematics, Sixth Edition
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D.15. CHAPTER 15
Exercise 1
1. amplitude = 2; period = 360°; phase shift = 0°
3. amplitude = 1; period = 180°; phase shift = 0°
5. amplitude = 3; period = 180°; phase shift = 0°
7. amplitude = 1; period = 360°; phase shift = −15°
9. amplitude = 1; period = 2π; phase shift = π/2
11. amplitude = 3; period = 360°; phase shift = −45°
13. amplitude = 4; period = 2π; phase shift = π/4
15. amplitude = 1; period = 180°; phase shift = −27.5°
17. amplitude = 1; period = 2π/3; phase shift = π/9
19. amplitude = 3; period = 180°; phase shift = −27.5°
21. amplitude = 2; period = 2π/3; phase shift = π/6
23. amplitude = 3.73; period = 83.3°; phase shift = −12.8°
25. zeros at x = 82.5° and 172.5°; y = 0.7071 at x = 15°
27. zeros at x = 1 and 2.05; y = 0 at x = 1
33. r sin(θ+38.6°)
Exercise 2
Exercise 3
1. P = 0.0147 s; ω = 427 rad/s
3. P = 0.0002 s; ω = 31,400 rad/s
5. f = 8 Hz; ω = 50.3 rad/s
7. 3.33 s
9. P = 0.0138 s; f = 72.4 Hz
11. P = 0.0126 s; f = 79.6 Hz
13. P = 400 ms; amplitude = 10; φ = 1.1 rad
15. y = 5 sin (750t + 15°)
23. Vmax = 4.27 V; P = 13.6 ms; f = 73.7 Hz; φ = 27° = 0.471 rad; V(0.12) = −2.11 V
25. i = ...
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