1. This exercise justifies the calculation deitäe-A¤ dx = スーit (a) Let A,t e R with A> 0. Evaluate the integrals a(t) = | A cos(tæ)e¬A¤ dx b(t) I A sin(tæ)e¬A= and dx. (b) Prove that a(t) + ib(t) = 入-t

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 29EQ
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1. This exercise justifies the calculation * deita e-Ax dx = .
(a) Let A, t eR with A> 0. Evaluate the integrals
a(t) = | A cos(ta)e¬# dx
b(t) = / A sin(tæ)e-d¤ dx.
and
(b) Prove that
a(t) + ib(t)
A- it
Transcribed Image Text:1. This exercise justifies the calculation * deita e-Ax dx = . (a) Let A, t eR with A> 0. Evaluate the integrals a(t) = | A cos(ta)e¬# dx b(t) = / A sin(tæ)e-d¤ dx. and (b) Prove that a(t) + ib(t) A- it
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