Other Math Archive: Questions from August 03, 2022
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\begin{tabular}{|l|c|} \hline 19 & \( (\mathbf{A} \cup \mathbf{B})^{\prime} \) \\ \hline A & \( \{t, v, x\} \) \\ \hline B & \( \{s, u, w\} \) \\ \hline C & \( \{r, s, t, u, v, w, x, z\} \) \\ \hline3 answers -
Given \( U=\{q, r, s, t, u, v, w, x, y, z\} \) \[ A=\{q, s, u, w, y\} \quad B=\{q, s, y, z\} \quad C=\{v, w, x, y, z\} . \] \begin{tabular}{|l|l} \hline 26 & \( (\mathrm{~B} \cup \mathrm{C})-(\mathrm3 answers -
SOLVE USING LAPLACE TRANSFORM \( \begin{array}{ll}y^{\prime \prime}-4 y^{\prime}-12 y=e^{3 t} & y(0)=1 \\ & y^{\prime}(0)=-2\end{array} \) \[ \begin{array}{r} y^{2}-6 y^{\prime}+8 y=5 e^{2 t} \quad y(1 answer -
If \( y=2 \sin ^{-1}(3 x) \), then \( y^{\prime}(x)= \) If \( y=8 \cos ^{-1}(5 x+11) \), then \( y^{\prime}(x)= \) If \( f(x)=3 \cdot \tan ^{-1}(\sin (x)) \), then \( y^{\prime}(x)= \) If \( y=5 \cot3 answers