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19.12.2019 •
Mathematics
Acheetah traveled by the cheetah is a function of seconds traveled t. write a rule for the function. how far will the cheetah travel in 25 seconds? how do you find the function
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Ответ:
f(t) = 5 cos pi/6 t + 7
Step-by-step explanation:
The information we have given is:
In Pensacola in June, high tide was at noon. The water level at high tide was 12 feet and 2 feet at low tide. Assuming the next high tide is exactly 12 hours later and that the height of the water can be modeled by a cosine curve
We have to find:
an equation for water level in June for Pensacola as a function of time (t)
The equation we can use is:
y = A cos bx + c
where A shows the amplitude
b = 2 pi/Period (Period = 12 hrs)
c = midline,
x = t and y = f(t)
A = 1/2 (Xmaximum - Xminimum)
A= 1/2(12-2)
A= 1/2(10)
A= 5
b = 2 pi / 12 = pi/6
c = 1/2 (Xmax + Xmin)
c = 1/2(12+2)
c= 1/2(14)
c= 7
The answer is:
f(t) = 5 cos pi/6 t + 7