To calculate: The sine function that model the curve.
Answer to Problem 1RE
Solution:
The sine function of the curve is
Explanation of Solution
Given Information:
The provided curve is:
Formula Used:
The value of Amplitude in the sine function is the height of peak above the baseline and named it as A.
Then the vertical offset is the height of the baseline and it is named as C.
The angular frequency is the number of cycles in every interval of length
The period or wavelength is the length of each cycle which is given by
Then
The sine function is given by
Calculation:
Consider the provided curve.
Determine the value of Amplitude which is the height of peak above the baseline.
Then determine the vertical offset which is the height of the baseline.
Where h is the total height of the peak and A is Amplitude.
Then determine the period or wavelength which is the length of each cycle.
Then determine the angular frequency which is the number of cycles in every interval of length
Then determine the phase shift which is the distance to which the function is shifted horizontally.
Then substitute the values in the sine function given by
Hence, the sine function of the curve is
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Chapter 9 Solutions
Applied Calculus
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage