AnswersCommon Core Algebra II - MA3111 B-ICModeling with Periodic Functions

Modeling with Periodic Functions Answers

33 verified answers6 views
3

b = pi/2pi2pi

A
pi/2
B
pi
C
2pi
6

b = pi/20pi/10pi/5

A
pi/20
B
pi/10
C
pi/5
7

Choose the equation of the model.

A
Option
B
Option
C
Option
8

Question text not available

Answers:
Blank 1:0.5
Blank 2:4.243
9

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

A
length of the blade
B
height of the windmill
C
number of rotations per minute
10

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

Answer:

A cosine function would be a simpler model for the situation. The minimum depth (low tide) occurs at t = 0, so a reflection of the cosine curve has a minimum there. A sine model would require a phase shift, while a cosine model does not.

12

The graph of these points follows a path resembling a .

A
cosine curve reflected across the y-axis
B
sine curve reflected across the y-axis
C
cosine curve reflected across the x-axis
D
sine curve reflected across the x-axis
15

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.

Question illustration
A
Option
B
Option
C
Option
D
Option
16

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

A
length of the blade
B
height of the windmill
C
number of rotations per minute
17

Which did you include in your response

A
A cosine function would be a simpler model for the situation.
B
The minimum depth (low tide) occurs at t = 0. A reflection of the cosine curve also has a minimum at t = 0.
C
A sine model would require a phase shift, while a cosine model does not.
20

so a = .

Question illustration
Answer:

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