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-10- -15- X TU/4

-10- -15- X TU/4

Advanced Engineering Mathematics
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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The graph below includes one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
y = 

 
 
The image displays a graph of a sinusoidal function plotted on a Cartesian coordinate system. - **Axes**: - The horizontal axis is labeled as \( x \), with a marked point at \(\pi/4\). - The vertical axis is labeled as \( y \). - **Graph**: - The graph is a red curve representing a sinusoidal wave. - The wave starts slightly below the \( x \)-axis, going upwards to intersect the axis around the origin. - The curve reaches a peak between \( y = 0 \) and \( y = 5 \), then descends back to cross the \( x \)-axis. - It continues downward, reaching a trough below \( y = -10 \), then moves back upwards. - The section of the graph shown appears symmetric around the \( y \)-axis. This depiction helps visualize the character of sinusoidal functions, highlighting periodicity and amplitude.
Transcribed Image Text:The image displays a graph of a sinusoidal function plotted on a Cartesian coordinate system. - **Axes**: - The horizontal axis is labeled as \( x \), with a marked point at \(\pi/4\). - The vertical axis is labeled as \( y \). - **Graph**: - The graph is a red curve representing a sinusoidal wave. - The wave starts slightly below the \( x \)-axis, going upwards to intersect the axis around the origin. - The curve reaches a peak between \( y = 0 \) and \( y = 5 \), then descends back to cross the \( x \)-axis. - It continues downward, reaching a trough below \( y = -10 \), then moves back upwards. - The section of the graph shown appears symmetric around the \( y \)-axis. This depiction helps visualize the character of sinusoidal functions, highlighting periodicity and amplitude.
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