Modeling with Periodic Functions

Question 1

Question 1

Revolt · Accepted Answer

30; -30

Question 2

This amplitude is [___] meters. a = [___]

Revolt · Accepted Answer

Part 1: 1.5; 1.5; -1.5

Question 3

This amplitude is [___] meters. a = [___]

Revolt · Accepted Answer

1.5; -1.5

Question 4

The period is [___] hours. b = [___]

Revolt · Accepted Answer

12.5; 4pi/25

Question 5

The vertical shift is k = [___] meters.

Revolt · Accepted Answer

4

Question 6

pi/6pi/12✔ 4pi/25

Revolt · Accepted Answer

4pi/25

Question 7

The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 am and 12:30 pm, with a depth of 2.5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5.5 m. Let t = 0 be 12:00 am.Graph the equation d = -1.5 cosine left-bracket StartFraction 4 pi over 25 EndFraction t right-bracket + 4 that models the situation using a graphing calculator and use it to answer the following questions.

Revolt · Accepted Answer

4 times

Question 8

The graph of these points follows a path resembling a .

Revolt · Accepted Answer

cosine curve reflected across the x-axis

Question 9

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 ,

Revolt · Accepted Answer

30; 12; pi/6

Question 10

The blades of the windmill turn on an axis that is 5152025 feet from the ground.

Revolt · Accepted Answer

20

Modeling with Periodic Functions Answers

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