Find the stationary points of y = (x² – 2x³)e²x. Note: you must give exact values - do not approximate the stationary point values Draw a single sign table and an accompanying sign diagram. For each interval in the sign table, select a value of x and show all working to obtain the sign of the gradient in that interval. Note: there should be no approximations in working to obtain gradient for the selected values of x. Please leave the expressions with square roots and powers of e.
Find the stationary points of y = (x² – 2x³)e²x. Note: you must give exact values - do not approximate the stationary point values Draw a single sign table and an accompanying sign diagram. For each interval in the sign table, select a value of x and show all working to obtain the sign of the gradient in that interval. Note: there should be no approximations in working to obtain gradient for the selected values of x. Please leave the expressions with square roots and powers of e.
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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please answer questin 2 its realated to question 1

Transcribed Image Text:(1) Find the stationary points of y = (x² – 2x³)e²x
Note: you must give exact values - do not approximate the stationary point
values
(2) Draw a single sign table and an accompanying sign diagram. For each interval
in the sign table, select a value of x and show all working to obtain the sign of
the gradient in that interval.
Note: there should be no approximations in working to obtain gradient for the
selected values of x. Please leave the expressions with square roots and powers
of e.
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