Other Math Archive: Questions from March 25, 2023
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13. \( y^{\prime \prime}-5 y^{\prime}+6 y=\mathscr{U}(t-1), \quad y(0)=y^{\prime}(0)=0 \) 14. \( y^{\prime \prime}+y=f(t), \quad y(0)=0, \quad y^{\prime}(0)=0 \) where \( f(t)=\left\{\begin{array}{ll}2 answers -
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Differentiate the function. \[ y=\frac{4 x^{2}-5}{8 x^{3}+7} \] Which of the following shows how to find the derivative of \( f(x) \) ? A. \( y^{\prime}=\frac{\left(8 x^{3}+7\right)\left(\frac{d}{d x}2 answers -
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\[ \left(\frac{21 \sqrt{3}+3 i}{-2 \sqrt{3}+5 i}\right)^{17}= \] Hint: Use de Moivre's Theorem: \( z=r(\cos \theta+i \sin \theta) \quad \Rightarrow \quad z^{n}=r^{n}(\cos n \theta+i \sin n \theta) \).2 answers