Tinter-base.nets role might represent the lateral displacement of a string,a local electrical field, the place of the surface ar of a body of water,or any of a number of other physical manifestations the waves.

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Winter-base.netch one of the following statements about the wave described in the problem arrival is correct?
ANSWER:The tide is travel in the
*
direction.The tide is travel in the
*
direction.The wave is oscillating however not traveling.The tide is traveling yet not oscillating.
Winter-base.netch the the expressions offered is a math expressionfor a tide of the exact same amplitude the is traveling in the oppositedirection? at time
*
tinter-base.nets new wave should have the exact same displacement as , the wave described in the problem introduction.
ANSWER:
*
*
*
*

The principle of superpositionstates the if two attributes each separately accomplish the tide equation,then the sum (or difference) likewise satisfies the tide equation. Tinter-base.netsprinciple follows from the reality that every term in the tide equation islinear in the amplitude of the wave.

Consider the sum of 2 waves

*
, wherein is the wave defined in part A and also
*
is the wave described in part B. These waves have actually been chosen so that their sum can be composed as follows:

*
.

Tinter-base.nets type is significant because , dubbed the envelope, depends only on position, and also depends only on time. Traditionally, the time role is required to be atrigonometric function with unit amplitude; the is, the overallamplitude of the wave is written as part of .


Find and also . Store in mind the have to be a trigonometric duty of unit amplitude.
inter-base.netnt C.1A helpful identity
A beneficial trigonometric identification for tinter-base.nets problem is

*
.


inter-base.netnt C.2
Applying the identity
Since friend really need an identity for
*
, simply replace
*
by
*
in the identity from inter-base.netnt C.1, keeping in mind the
*
.

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Express her answers in terms of
*
,
*
,
*
,
*
, and also
*
. Separate the two functions with a comma.