a.
To calculate:The amplitude of the given simple harmonic function.
a.
Answer to Problem 76E
The amplitude of the given simple harmonic function is
Explanation of Solution
Given information:The graph of the simple harmonic function is given below.
Formula used:
The amplitude of a harmonic function is
Calculation:
From the above graph of the given function it can be observed that
The maximum value of yis
The minimum value of yis
Therefore the amplitude of the given function is
Hence the amplitude of the given simple harmonic function is
b.
To calculate:The time period of the given simple harmonic function.
b.
Answer to Problem 76E
The time period of the given simple harmonic function is
Explanation of Solution
Given information:The graph of the simple harmonic function is given below.
Calculation:
The time periodof a function is the value of x after which the cycle repeats itself.
From the graph above it can be observed that since the value
Hence the time period of the given simple harmonic function is
c.
To identify: The form of the given simple harmonic function.
c.
Answer to Problem 76E
The simple harmonic function is of the form
Explanation of Solution
Given information: The graph of the simple harmonic function is given below.
Concept used:
In the function of the form
In the function of the form
Calculation:
The simple harmonic function can be of the form
From the graph above it can be observed that
Also if the function is of the form
Therefore it can be said that since
Hence the simple harmonic function is of the form
Chapter 4 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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