Other Math Archive: Questions from April 16, 2023
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prove it
\( \cos \left(2 \pi f_{0} t+\theta\right) \Leftrightarrow \frac{1}{2}\left[\delta\left(f+f_{0}\right) e^{-j \theta}+\delta\left(f-f_{0}\right) e^{j \theta}\right] \)2 answers -
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prove it
\( \cos \left(2 \pi f_{0} t+\theta\right) \Leftrightarrow \frac{1}{2}\left[\delta\left(f+f_{0}\right) e^{-j \theta}+\delta\left(f-f_{0}\right) e^{j \theta}\right] \)2 answers -
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4. Solve \( y^{(2)}=\left(y^{\prime}\right)^{3}+y^{\prime} \). Hint: use the substitution \( y^{\prime}=p \).2 answers -
(a) When \( x=-2 \) and \( y=1 \), is \( Q(x, y) \) true or false? The hwoothesis of \( Q(-2,1) \) is . which is The conclusion is , which is - Thus \( Q(-2,1) \) is a conditional statement with a hyp2 answers -
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differential equations
\( \begin{array}{l}5 x^{\prime}+y^{\prime}-3 x+y=0 \\ 4 x^{\prime}+y^{\prime}-3 x=-t\end{array} \)2 answers -
differential equations
\( \begin{array}{l}5 x^{\prime}+y^{\prime}-5 x-y=0 \\ 4 x^{\prime}+y^{\prime}-3 x=t, \quad x(0)=1 \text { and } y(0)=0\end{array} \)2 answers -
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