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14. The water level in a tank can be modeled by the function h (t) = 8cos + 11.5, where t is the number of

hours since the water level is at its maximum height, h. How many hours pass between two consecutive

times when the water in the tank is at its maximum height?

I

Question

Aliza

Mathematics

27 August, 02:43

At

14. The water level in a tank can be modeled by the function h (t) = 8cos + 11.5, where t is the number of

hours since the water level is at its maximum height, h. How many hours pass between two consecutive

times when the water in the tank is at its maximum height?

I

+1

Answers (1)

Know the Answer?

Chaim · Answer 1

2π hours

Step-by-step explanation:

Given the following function:

h (t) = 8*cos (t) + 11.5

we want to find its period. This function has the following form:

y = A*cos (B (x + C)) + D

where:

A = 8

B = 1

C = 0

D = 11.5

which period is computed as: 2π/B. Then, for the case of the problem:

period = 2π/1 = 2π hours

At14. The water level in a tank can be modeled by the function h (t) = 8cos + 11.5, where t is the number ofhours since the water level is at its maximum height, h. How many hours pass between two consecutivetimes when the water in the tank is at its maximum height?I

At

14. The water level in a tank can be modeled by the function h (t) = 8cos + 11.5, where t is the number of

hours since the water level is at its maximum height, h. How many hours pass between two consecutive

times when the water in the tank is at its maximum height?

I