Modeling with Periodic Functions

Question 1

a =

Revolt · Accepted Answer

10

Question 2

a is the . The vertical shift, k, is the . a = k =

Revolt · Accepted Answer

Part 1: 15; Part 2: 40

Question 3

This amplitude is meters. a =

Revolt · Accepted Answer

Part 1: 1.5; Part 2: 1.5

Question 4

Use the graph to write an equation y = acos[b(x – h)] + k to model the situation.The amplitude is , so a = . The period is , so b = .

Revolt · Accepted Answer

Part 1: 30; Part 2: -30; Part 3: 12

Question 5

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.

Revolt · Accepted Answer

On a coordinate plane, a curve starts at (0, 10). It has a maximum of y = 18 and a minimum of y = 4.

Question 6

To the nearest thousandth, find the position of the pendulum when t = 4.25 sec. d = in.

Revolt · Accepted Answer

4.243

Question 7

The vertical shift, k, is the length of the bladeheight of the windmillnumber of rotations per minute.

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height of the windmill

Question 8

b = pi/20pi/10pi/5

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pi/10

Question 9

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

Revolt · Accepted Answer

Part 1: 1.5; 1.5; -1.5

Question 10

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

Revolt · Accepted Answer

4:00 am

Modeling with Periodic Functions Answers