Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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Topic: Derivative of parametric equation

1.Determine the co-ordinates of the stationary points of each of the following functions
(a) r = 21³ + 1, y = te-4
(b) x =
(c) r = 5t", y = 5t® – tº for t > 0
(d) r =t+t², y = sin t for 0< t<a
(e) r= te", y = t°e¯t for t> 0
Vi + 1, y = t³ – 12t for t > 0
Transcribed Image Text:1.Determine the co-ordinates of the stationary points of each of the following functions (a) r = 21³ + 1, y = te-4 (b) x = (c) r = 5t", y = 5t® – tº for t > 0 (d) r =t+t², y = sin t for 0< t<a (e) r= te", y = t°e¯t for t> 0 Vi + 1, y = t³ – 12t for t > 0
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