a.
Find the maximum displacement.
a.

Answer to Problem 53E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function
Find the maximum displacement.
Calculation:
Consider the given equation
The maximum displacement from the point of equilibrium is amplitude which is the coefficient of
Hence, the maximum displacement is
b.
Find the frequency.
b.

Answer to Problem 53E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function.
Find the frequency.
Calculation:
Consider the given equation
Hence, the frequency is
c.
Find the value of
c.

Answer to Problem 53E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function.
The value of
Calculation:
Consider the given equation
Hence, the value of
d.
The least positive value of
d.

Answer to Problem 53E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function
The least positive value of
Calculation:
Consider the given equation
Hence, the least positive value of
Now use a graphing utility to verify your results.
For part
From the graph
Chapter 4 Solutions
EBK PRECALCULUS W/LIMITS
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