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Question 3 ( Given the function f(x)=xe¹-²x² : a) Determine lim xe¹-2x² and lim xe¹- x-→-∞ 004-x b) Determine all extrema of the function f. Classify the extrema into relative and/or absolute. Show all details of your analysis and summarize your results in a table of variation. Note that the graph of the function is not required.

Question 3 ( Given the function f(x)=xe¹-²x² : a) Determine lim xe¹-2x² and lim xe¹- x-→-∞ 004-x b) Determine all extrema of the function f. Classify the extrema into relative and/or absolute. Show all details of your analysis and summarize your results in a table of variation. Note that the graph of the function is not required.

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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Question 3 ( Given the function f(x)=xe¹-²x² : a) Determine lim xe¹-2x² and lim xe¹-2x² x →-∞0 x →0⁰ b) Determine all extrema of the function f. Classify the extrema into relative and/or absolute. Show all details of your analysis and summarize your results in a table of variation. Note that the graph of the function is not required.
Transcribed Image Text:Question 3 ( Given the function f(x)=xe¹-²x² : a) Determine lim xe¹-2x² and lim xe¹-2x² x →-∞0 x →0⁰ b) Determine all extrema of the function f. Classify the extrema into relative and/or absolute. Show all details of your analysis and summarize your results in a table of variation. Note that the graph of the function is not required.
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