In 39 and 40, the matrices are A(t) and B(t) are given.
Chapter 9, Problem 39E(choose chapter or problem)
In Problems 39 and 40, the matrices \(A(t) \text { and } B(t)\) are given. Find
\(\int A(t) d t\)
\(\int_{0}^{1} B(t) d t\)
(c) \(\frac{d}{d t}[A(t) B(t)]\)
\(A(t)=\left[\begin{array}{ll} t & e^{t} \\ 1 & e^{t} \end{array}\right]\)
\(B(t)=\left[\begin{array}{ll} \cos t & -s i n t \\ \sin t & \cos t \end{array}\right]\)
Equation Transcription:
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Text Transcription:
A(t) and B(t)
\int A(t) dt
\int 01B(t) dt
ddt[A(t)B(t)]
A(t)=[ 1 et t et ]
B(t)=[ sin t cos t cos t -sin t ]
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