Modeling with Periodic Functions

Question 1

Which situations can be modeled with a periodic function?

Revolt · Accepted Answer

AssessCtrl5dfdfa83-816a-4d97-bc97-75fc40715fc8_1_A,AssessCtrl5dfdfa83-816a-4d97-bc97-75fc40715fc8_1_C

Question 2

a =

Revolt · Accepted Answer

6

Question 3

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

Revolt · Accepted Answer

A: length of the blade

Question 4

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

Revolt · Accepted Answer

1.5; -1.5

Question 5

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

C: 4 times

Question 6

The graph of these points follows a path resembling a .

Revolt · Accepted Answer

C: cosine curve reflected across the x-axis

Question 7

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

Question 8

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

Revolt · Accepted Answer

C: 20

Question 9

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.

Revolt · Accepted Answer

B:

Question 10

The period is seconds.

Revolt · Accepted Answer

2

Modeling with Periodic Functions Answers

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