Exercises 10.2, page 305

  1. 1. y = 3 sin 6x

    A graph of a curve that oscillates about y = 0 with amplitude 3 and period pi over 3.
  2. 3. 2 ,  π3

    A graph of a curve that oscillates about y = 0 with amplitude 2 and period pi over 3.
  3. 5. 3 ,  π4

    A graph of a curve that oscillates about y = 0 with amplitude 3 and period pi over 4.
  4. 7. 2 ,  π6

    A graph of a curve that oscillates about y = 0 with amplitude 2 and period pi over 6.
  5. 9. 1 ,  π8

    A graph of a curve that oscillates about y = 0 with amplitude 1 and period pi over 8.
  6. 11. 520, 1

    A graph of a curve that oscillates about y = 0 with amplitude 520 and period 1.
  7. 13. 3 ,  12

    A graph of a curve that oscillates about y = 0 with amplitude 3 and period one-half.
  8. 15. 15 ,  6π

    A graph of a curve that oscillates about y = 0 with amplitude 15 and period 6 pi.
  9. 17. 12 ,  3π

    A graph of a curve that oscillates about y = 0 with amplitude one-half and period 3 pi.
  10. 19. 0.4, 9

               
    A graph of a curve that oscillates about y = 0 with amplitude 0.4 and period 9.
  11. 21. 3.3 ,  2π

    A graph of a curve that oscillates about y = 0 with amplitude 3.3 and period 2 over pi.
  12. 23. y = sin 6x

  13. 25. y = sin 6πx

  14. 27.

    A graph of a curve, y = negative 3 times sine of 2 x, that oscillates about y = 0 with amplitude 3 and period pi.
  15. 29.

    A graph of a curve that begins at (0, 8), falls to a cusp at (1, 0), rises to (2, 8), falls to a cusp at (3, 0), then rises to (4, 8).
  16. 31. 2 sin 3x =  − 2 sin( − 3x)

  17. 33. 2π

  18. 35. y =  − 2 sin 2x

    A graph of a curve that oscillates about y = 0 with amplitude 2 and period pi.
  19. 37. 105 MHz

  20. 39.

    A graph of a curve that oscillates about y = 0 with amplitude 170 and approximate period 0.0083.
  21. 41.

    A graph of a curve that oscillates about y = 0 with amplitude 450 and period 0.0015.
  22. 43. y = 12cos 2x

  23. 45. y =  − 4 sin πx

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