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-1 then Create afplot lover -34AC37 Confaining the geagh 4) Plar, f/X-11, and flaul

-1 then Create afplot lover -34AC37 Confaining the geagh 4) Plar, f/X-11, and flaul

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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### Mathematical Function Visualization **Instructions:** 1. **Input the Function:** Enter \( p(x) = (1+x^2)^{-1} \) into Maple (a computational software tool). 2. **Create a Plot:** Generate a plot over the range \(-3 \leq x \leq 3\). 3. **Graph Contents:** The plot should include the following graphs: - \( p(x) \) - \( p(x-1) \) - \( p(x+1) \) ### Notes on Visualization - Visualizing these functions will show how the graph of the function \( p(x) = (1+x^2)^{-1} \) shifts when modifying the input values by \(-1\) and \(+1\). - This exercise can help understand the effects of translating a function horizontally on a graph.
Transcribed Image Text:### Mathematical Function Visualization **Instructions:** 1. **Input the Function:** Enter \( p(x) = (1+x^2)^{-1} \) into Maple (a computational software tool). 2. **Create a Plot:** Generate a plot over the range \(-3 \leq x \leq 3\). 3. **Graph Contents:** The plot should include the following graphs: - \( p(x) \) - \( p(x-1) \) - \( p(x+1) \) ### Notes on Visualization - Visualizing these functions will show how the graph of the function \( p(x) = (1+x^2)^{-1} \) shifts when modifying the input values by \(-1\) and \(+1\). - This exercise can help understand the effects of translating a function horizontally on a graph.
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