Question

Please! Please can anybody help me this problem?


A sound wave is modeled with the equation y = 1/4 cos 2pi/3 θ.
a. Find the period. Explain your method.
b. Find the amplitude. Explain your method.
C. What is the equation of the midline? What does it represent?
Please solve all will get madel and fan.

Answer 1

note that waves can be of general eq, y=r cos wt, where r is the amplitude, w the angular velocity and t is the time parameter.

Answer 2

cross reference your eq with the general eq above.

Answer 3

Ok

Answer 4

ω=2πT

Answer 5

Actually this is a algebra problem

Answer 6

i know

Answer 7

amplitude, A
through a mathematical analysis, the amplitude is the highest/lowest point of the curve.
y=14cos2π3θ
y′=−14(2π3)sin2π3θ
let y'=0, sin2π3θ=0
θ=0
y=1/4=A
you follow?

Answer 8

now, y′=ω
the period is the time for two wavecrest, i.e. two amplitude, also aka two y'=0
so you find the w for two successive max points and you'll get it.

Answer 9

http://openstudy.com/study#/updates/5191a034e4b0e9fd532919ae

Answer 10

OK I'm following you

Answer 11

I didn't understand please help me to solve all.

Answer 12

Can anybody do this please please please help the friends I need.

Answer 13

@MD152727 please please help me to solve this problem with explain

Answer 14

A

Answer 15

Look at this thread for help. You'll need to read the whole thing.

http://openstudy.com/study#/updates/519e5489e4b04449b22151a5

@Arihangdu

Answer 16

Yes I know to find a and b now but what is for C?

Answer 17

@Directrix what is the equation of the midline? What does it represent? Please

Answer 18

The midline is a horizontal axis that is used as the reference line about which the graph of a trigonometric function oscillates.

The equation of the midline of trignometric function is the average of the maximum and minimum values of the function i.e. y=(min. + max.)/2.

Answer 19

You might find this information helpful:

http://www.enotes.com/homework-help/how-midline-used-help-graph-trigonometric-465053

Answer 20

Ufff I never get the midline hat maths

Answer 21

Please how to find min+max?..

Answer 22

You said (min+ max)/2
But you did (min- max)/2. ?

Answer 23

I found amplitude =. -1/4
Period = 3
Is that right?

Answer 24

You said (min+ max)/2 But you did (min- max)/2.

1/4 + (-1/4) = 1/4 - 1/4 = 0

y = 0.

Answer 25

>>>I found amplitude =. -1/4 No.

I got +1/4 for the amp and period 3.

Answer 26

Thank you for helping dear. Appreciate your help thanks.