Suppose the high tide in Seattle occurs at 1:00 a.m. and 1:00 p.m. at which time the water is 16 feet above the height of low tide. Low tides occur 6 hours after high tides. Suppose there are two high tides and two low tides every day and the height of the tide varies sinusoidally. (a) Find a formula for the function y = h(t) that computes the height of the tide above low tide at time t, where t indicates the number of hours after midnight. (In other words, y = 0 corresponds to low tide.) h(t) =     (b) What is the tide height at 11:00 a.m.? _____ft

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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Suppose the high tide in Seattle occurs at 1:00 a.m. and 1:00 p.m. at which time the water is 16 feet above the height of low tide. Low tides occur 6 hours after high tides. Suppose there are two high tides and two low tides every day and the height of the tide varies sinusoidally.

(a) Find a formula for the function
y = h(t)
that computes the height of the tide above low tide at time t, where t indicates the number of hours after midnight. (In other words,
y = 0
corresponds to low tide.)
h(t) =
 
 


(b) What is the tide height at 11:00 a.m.?
_____ft
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