Algebra Archive: Questions from April 25, 2023
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2. If \[ y=\frac{x}{\sqrt{a^{2}-1}}-\frac{2}{\sqrt{a^{2}-1}} \arctan \left(\frac{\sin x}{a+\sqrt{a^{2}-1}+\cos x}\right) \] Show that \[ \frac{d y}{d x}=\frac{1}{a+\cos x} \]2 answers -
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Simplify: \( -4 x^{3}\left(x^{2}-5 x+3\right) \) Select one: a. \( -4 x^{6}+20 x^{3}-12 x^{3} \) b. \( -4 x^{5}+20 x^{4}-12 x^{3} \) c. \( -4 x^{5}-20 x^{4}+12 x^{3} \) d. \( -4 x^{6}-20 x^{3}+12 x^{32 answers -
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-x + y = -5 - 4x + 4y = - 20
\( \left\{\begin{aligned}-x+y & =-5 \\ -4 x+4 y & =-20\end{aligned}\right. \)2 answers -
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