Modeling with Periodic Functions Answers
The graph of these points follows a path resembling a .
The blade makes one revolution in 7.51522.530 seconds.
so b = pi/12pi/6pi/3.
The vertical shift is k = .
50
The phase shift is h = -2-112
Choose the equation of the graph
On a coordinate plane, a curve starts at (0, 10). It has a maximum of y = 16 and a minimum of y = negative 2.5. On a coordinate plane, a curve starts at (0, 10). It has a maximum of y = 18 and a minimum of y = 4. On a coordinate plane, a curve starts at (0, 10). It has a maximum of y = 15 and a minimum of y = 8. On a coordinate plane, a curve starts at (0, 10). It has a maximum of y = 18 and a minimum of y = 4.
Which situations can be modeled with a periodic function?
a =
6
a is the . The vertical shift, k, is the . a = k =
Which periodic function, sine or cosine, would be a simpler model for the situation? Explain.
A cosine function would be a simpler model for the situation. Since the low tide (minimum depth) occurs at t 0, a reflected cosine function can be used to model the data without needing a phase shift. Conversely, a sine function would require a phase shift to account for the starting position at the minimum.
This amplitude is meters. a = ⇒ -1.5
How many times during this day is the depth at the end of the pier equal to 4 meters?
The graph of these points follows a path resembling a .
On a coordinate plane, a curve starts at (0, 10). It has a maximum of y = 16 and a minimum of y = negative 2.5.
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