Question

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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

Answer 1

2π hours

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