Modeling with Periodic Functions Answers

a is the ✔ length of the bladeheight of the windmillnumber of rotations per minute.

Question text not available

The vertical shift, k, is the length of the blade✔ height of the windmillnumber of rotations per minute.

a =

k =

The period is seconds.

b = pi/20✔ pi/10pi/5

Choose the equation of the model.

Which periodic function, sine or cosine, would be a simpler model for the situation? Explain.

Which did you include in your response

This amplitude is meters. a = The period is hours. b = The vertical shift is k = meters.

Question text not available

pi/6pi/12✔ 4pi/25

Choose the correct equation.

Question text not available

⇒ -1.5

How many times during this day is the depth at the end of the pier equal to 4 meters?

At approximately what time on the next day does the depth first reach 4 meters?

The graph of these points follows a path resembling a cosine curve reflected across the y-axissine curve reflected across the y-axis✔ cosine curve reflected across the x-axissine curve reflected across the x-axis.

A graph has month on the x-axis and temperature in degrees Fahrenheit on the y-axis. Month 0 is 23; Month 1 is 35; month 2 is 48; month 3 is 65; month 4 is 74; month 5 is 80; month 6 is 76; month 7 is 64; month 8 is 50; month 9 is 32; month 10 is 24; month 11 is 20. Use the graph to write an equation y = acos[b(x – h)] + k to model the situation.The amplitude is ,