What is the midline equation for the function

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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What is the midline equation for the function
The displayed mathematical equation is:

\[ y = 4 \sin \left( 2 \left( x - \frac{3\pi}{4} \right) \right) \]

This represents a sinusoidal function with the following properties:
- Amplitude: 4, which signifies the peak value of the sine wave.
- Frequency: 2, indicating the number of cycles the wave completes in a unit interval.
- Horizontal Shift: \(\frac{3\pi}{4}\), meaning the whole wave is shifted to the right by \(\frac{3\pi}{4}\) units.
Transcribed Image Text:The displayed mathematical equation is: \[ y = 4 \sin \left( 2 \left( x - \frac{3\pi}{4} \right) \right) \] This represents a sinusoidal function with the following properties: - Amplitude: 4, which signifies the peak value of the sine wave. - Frequency: 2, indicating the number of cycles the wave completes in a unit interval. - Horizontal Shift: \(\frac{3\pi}{4}\), meaning the whole wave is shifted to the right by \(\frac{3\pi}{4}\) units.
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