Algebra Archive: Questions from September 18, 2022
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Solve the following initial value problems. 16. \( t y^{\prime}-y=2 t^{4}, \quad y(2)=2 \). 20. \( \frac{d r}{d \theta}+r \tan \theta=\cos ^{2} \theta, \quad r\left(\frac{\pi}{4}\right)=\frac{1}{2} \)1 answer -
23. Factor the greatest common factor: \( 49 x^{4} y^{3} z^{5}-70 x^{3} y^{5} z^{4}+35 x^{4} y^{4} z^{3} \).2 answers -
If possible, find \( A B, B A \), and \( A^{2} \). (If not possible, enter IMPOSSIBLE.) \[ A=\left[\begin{array}{r} 8 \\ 7 \\ -5 \end{array}\right], B=\left[\begin{array}{lll} 1 & 2 & 1 \end{array}\ri1 answer