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The water level, \(f\), in feet, at a certain beach is modeled by the function \(f(t) = 2\sin\left(\frac{2\pi t}{24}\right)\), where \(t\) is the number of hours since the level was measured.
One month, the amount of the moon visible \(d\) days after the beginning of the month is modeled by the equation \(y = 0.5\cos\left(\frac{2\pi d}{30} - \frac{\pi}{4}\right) + 0.5\).
Label these points on the unit circle.
Here is the initial position of a bike wheel before it starts to move.
The vertical position, in inches, of \(P\) is given by \(y = 10\boldcdot \sin\left(\frac{\pi}{2} + 6\pi s\right) + 10\), where \(s\) is the number of seconds since the wheel began to move. Select all the true statements.
The wheel makes 3 revolutions per second.
The wheel makes one revolution every 3 seconds.
After \(\frac{1}{4}\) of a second, the point \(P\) will be in the position marked \(Q\).
After \(\frac{3}{4}\) of a second, the point \(P\) will be in the position marked \(Q\).
The radius of the wheel is 10 inches.