Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function shown below: Leave your answer in exact form; if necessary, type pi for . y = Question Help: Video 1 Video 2 Message instructor Submit Question
Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function shown below: Leave your answer in exact form; if necessary, type pi for . y = Question Help: Video 1 Video 2 Message instructor Submit Question
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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Question
![**Problem Description:**
Find a function of the form \( y = A \sin(kx) + C \) or \( y = A \cos(kx) + C \) whose graph matches the function shown below:
**Graph Explanation:**
- The graph is a sinusoidal wave with a trough, peak, and periodic symmetry. It appears to be a cosine function due to the presence of a peak at \( x = 0 \).
- The graph crosses the y-axis at its peak and trough.
- The x-axis is marked from approximately 0 to 15, and the y-axis ranges from approximately -3 to 3.
- There are five major divisions on the x-axis indicating intervals of π/2, where the graph completes its cycle around every 10 units.
**Instructions:**
Leave your answer in exact form; if necessary, type "pi" for \( \pi \).
**Input Field:**
\( y = \) [Your answer]
**Support Options:**
- Video 1
- Video 2
- Message Instructor
**Action Button:**
- Submit Question](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b690657-cb09-4dc4-9e96-7e161176d534%2F07297e64-803f-46b0-bdbd-b654877e76c1%2Fs6x927f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
Find a function of the form \( y = A \sin(kx) + C \) or \( y = A \cos(kx) + C \) whose graph matches the function shown below:
**Graph Explanation:**
- The graph is a sinusoidal wave with a trough, peak, and periodic symmetry. It appears to be a cosine function due to the presence of a peak at \( x = 0 \).
- The graph crosses the y-axis at its peak and trough.
- The x-axis is marked from approximately 0 to 15, and the y-axis ranges from approximately -3 to 3.
- There are five major divisions on the x-axis indicating intervals of π/2, where the graph completes its cycle around every 10 units.
**Instructions:**
Leave your answer in exact form; if necessary, type "pi" for \( \pi \).
**Input Field:**
\( y = \) [Your answer]
**Support Options:**
- Video 1
- Video 2
- Message Instructor
**Action Button:**
- Submit Question
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