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
Problem 1RQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81d865ca-ed2c-4f6d-a4cc-7f843242dec1%2F76d52ba9-8675-4ac9-939e-5422937f712b%2Fzsdfd0m_processed.jpeg&w=3840&q=75)
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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