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7 January, 00:17

A bike tire has a diameter of 14 inches. It runs over a piece of gum that sticks to the tire. Write a cosine function that describes the height of the gum above the ground as a function of angular distance.

a. y = - 7 cos x + 7

b. y = 7 cos x + 14

c. y = - 7 cos x + 14

d. y = 14 cos x + 28

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  1. 7 January, 00:36
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    a. y = - 7cos (x) + 7

    Step-by-step explanation:

    The middle level of the gum is 7 inches above the ground, and it oscillates 7 inches either side of that. Thus the offset of the cosine function (average height) is 7 and the multiplier (amplitude of oscillation) is also 7. The - 7 on the cosine multiplier means the height of the gum is zero at x=0.
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