suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet and t is the time in hours. Consider a day in which t = 0 represents 12:00 midnight. For that day, when are high tide and low tide and what is depth of each

- high tide occurs at 12 noon and 12 midnight

- Low tide occurs at 6 a.m and 6 p.m

- maximum depth value = 20 ft

- Minimum depth value = 15 ft

Step-by-step explanation:

The depth is modelled as;

y = 20 + 5 cos (πt/6)

We are told that t = 0 represents 12:00 midnight.

This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.

Max depth value is;

y = 20 + 5(0)

y = 20 ft

Minimum depth value will be the low tide and it will be when the cos function is equal to -1.

Thus;

y = 20 + 5(-1)

y = 15 ft

Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;

12 noon

Also, let's check for low tide.

Let's try t = 6 which means 6 a.m

Thus;

y = 20 + 5 cos (π(6)/6)

y = 20 + 5 cos π

Cos π has a value of -1

Thus;

y = 20 + 5(-1)

y = 20 - 5

y = 15 ft

Thus;

Low tide occurs at 6 a.m and 6 p.m

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.