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Mathematics, 03.05.2022 14:00 XxJadexX6527

Hiro is riding a carousel that is next to a wall. His horizontal distance C(t)C(t)C, left parenthesis, t, right parenthesis (in \text{m}mstart text, m, end text) away from the wall as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when he starts, he is closest to the wall, a distance of 2\text{ m}2 m2, start text, space, m, end text away. After 7\pi7π7, pi seconds he reaches his mid-way point from the wall, which is 7\text{ m}7 m7, start text, space, m, end text away. Find C(t)C(t)C, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.

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Hiro is riding a carousel that is next to a wall. His horizontal distance C(t)C(t)C, left parenthesi...
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