Trig functions

The average depth of the water in a port on a tidal river is 4m. At low tide, the depth of the water is 2m. One cycle is completed approximately every 12h.

a)Find an equation of the depth, d(t)metres, with respect to the average depth, as a function of the time, t hours, after low tide, which occurred at 15:00.

PLEASE ANSWER ASAP

  1. 👍 0
  2. 👎 0
  3. 👁 362
  1. cos(kt) has period 2pi/k
    cos(t) has max at t=0, so -cos(t) has min at t=0

    y = 4 - 2cos(pi/6 (t-15))

    http://www.wolframalpha.com/input/?i=4+-+2cos%28pi%2F6+%28t-15%29%29+

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    This is the (average) sale price for single family property in Seattle and Port Townsend Year Seattle Port Townsend 1970 $38000 $8400 1990 $175000 $168400 (a) When will the average sales price in seattle and port t. be equal and

  2. Pre-Calculus

    For a boat to float in a tidal bay, the water must be at least 2.5 meters deep. The depth of the water around the boat, d(t), in meters, where t is measured in hours since midnight, is d(t)=5+4.6sin(0.5t) Use three decimal places

  3. physics

    An evacuated spherical diving bell containing a camera is in the ocean at a depth of 107 m. It has a flat, transparent, circular port with a diameter of 10.5 cm. Find the magnitude of the total force on the port. For the density

  4. Physics

    (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 23.2 m. Assume the density of the water is 1.00 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa (b) What force is exerted by the

  1. Chemistry

    A farmer applies 1400.0 kg of a fertilizer that contains 10.0% nitrogen to his fields each year. fifteen (15.0%) percent of the fertilizer washes into a river that runs through the farm. If the river flows at an average rate of

  2. math! please help!

    For a boat to float in a tidal bay, the water must be at least 2.7 meters deep. The depth of the water around the boat, d(t), in meters, where t is measured in hours since midnight, is d(t) = 5 + 4.6 sin(0.5t). (a) What is the

  3. trig

    The average depth of water at the end of a dock is 6 ft. This varies 2 ft in both directions with the ride. Suppose there is a high tide at 4 am. If the tide goes from low to high every 6 hours, write a cosine function describing

  4. Physics_Vectors

    You can swim at a speed v relative to the water. You are swimming across a river which flows at a speed V relative to the shore. The river is straight and has a constant width. A. If you wish to swim directly across the river, in

  1. i need help with science pls

    ]Most of the drinking water in a location comes from a river. A steel plant is to be built close to the river. It would provide jobs and facilities to many people in the location. The steel plant would use a huge amount of river

  2. Physics

    A pump of 200 W power is lifting 2 kg water from an average depth of 10 meters per second. Find the velocity of water delivered by the pump?

  3. Math

    The (average) sale price for single family property in Seattle and Port Townsend is tabulated below: YEAR SEATTLE PORT TOWNSEND 1970 $38,000 $8400 1990 $175,000 $168,400 When will the Seattle sales price be double the Port

  4. math please help!!

    The depth d of water in a tank oscillates sinusoidally once every 4 hours. If the smallest depth is 7.9 feet and the largest depth is 10.1 feet, find a possible formula for the depth in terms of time t in hours. (Let the water

You can view more similar questions or ask a new question.