Tides, Daylight and Sound Worksheet with Answer Key

What's on the worksheet

1. At the harbor of a fishing village, high tide comes at 2:00 a.m.
2. Each rule gives the depth h, in meters, of the water at a harbor t hours after midnight.
   h = 2.1\cos\left(\dfrac{\pi}{6}(t + 1)\right) + 3h = -1.5\cos\left(\dfrac{5\pi}{31}(t - 2)\right) + 2.4
3. A tuning fork sounds a pure tone.
4. At the mouth of a made-up river, the depth of the water in meters is $h_M
5. In a made-up city, the warmest month is July (month 7), with an average temperature of 76 degrees Fahrenheit, and the coldest month is January…
6. In a made-up town, the hours of daylight on day t of the year are modeled by $D