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1. A
   $\frac{1}{6\pi}\,\text{cm/s}$
2. B
   $\frac{1}{6\pi}\,\text{cm/s}$
3. C
   $\frac{1}{16\pi}\,\text{cm/s}$
4. D
   $\frac{\pi}{16}\,\text{cm/s}$

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1. A
   $\frac{9}{16}$
2. B
   $\frac{9}{2}$
3. C
   $\frac{9}{32}$
4. D
   $\frac{9}{8}$

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1. A
   $-\frac{7}{17}$
2. B
   $-\frac{17}{7}$
3. C
   $\frac{17}{7}$
4. D
   $\frac{7}{17}$

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1. A
   $\frac{\pi}{3}$
2. B
   $\frac{\pi}{6}$
3. C
   $\frac{\pi}{4}$
4. D
   $\frac{\pi}{12}$

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1. A
   $\pi$
2. B
   $\frac{\pi}{2}$
3. C
   $\frac{\pi}{3}$
4. D
   $\frac{\pi}{4}$

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1. A
   $\begin{pmatrix}1&2\sqrt{3}\\2\sqrt{3}&1\end{pmatrix}$
2. B
   $\begin{pmatrix}-1&-2\sqrt{3}\\2\sqrt{3}&1\end{pmatrix}$
3. C
   $\begin{pmatrix}0&2\sqrt{3}\\2\sqrt{3}&0\end{pmatrix}$
4. D
   $\begin{pmatrix}0&-2\sqrt{3}\\2\sqrt{3}&0\end{pmatrix}$

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1. A
   $(1,|1+\tan\theta|)$
2. B
   $(1,|1-\tan\theta|)$
3. C
   $(-1,|1+\tan\theta|)$
4. D
   $(-1,|1-\tan\theta|)$

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1. A
   $0<x\leq1$
2. B
   $0\leq x\leq1$
3. C
   $-\infty<x\leq0$
4. D
   $-\infty<x<1$

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1. A
   $y=\cos x+3x^2+c$
2. B
   $y+\cos x=3x^2+c$
3. C
   $y=3x^2\cos x+\cos x$
4. D
   $y\cdot\cos x=3x^2+c$

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1. A
   $4y+z=10$
2. B
   $4y-z+10=0$
3. C
   $4y-z=10$
4. D
   $4y+z+10=0$

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1. A
   $+\frac{\pi}{12},-\frac{\pi}{6}$
2. B
   $-\frac{\pi}{6},-\frac{\pi}{12}$
3. C
   $\frac{\pi}{6},\frac{\pi}{12}$
4. D
   $\frac{\pi}{6},-\frac{\pi}{12}$

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1. A
   $-10$
2. B
   $10$
3. C
   $50$
4. D
   $-50$

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1. A
   $-\frac{5}{6}$
2. B
   $\frac{5}{6}$
3. C
   $\frac{6}{5}$
4. D
   $-\frac{6}{5}$

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1. A
   $\frac{36}{\sqrt{5}}\,\text{units/sec}$
2. B
   $\frac{18}{\sqrt{5}}\,\text{units/sec}$
3. C
   $\frac{36}{\sqrt{5}}\,\text{units/sec}$
4. D
   $\frac{18}{\sqrt{5}}\,\text{units/sec}$

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1. A
   $\frac{46}{5}$
2. B
   $\frac{16}{15}$
3. C
   $\frac{24}{5}$
4. D
   $\frac{13}{15}$

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1. A
   $\sqrt{2}:\sqrt{2}:(\sqrt{3}+1)$
2. B
   $\sqrt{2}:\sqrt{2}:(\sqrt{3}+1)$
3. C
   $(\sqrt{3}+1):\sqrt{2}:\sqrt{2}$
4. D
   $\sqrt{2}:(\sqrt{3}+1):\sqrt{2}$

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1. A
   $\frac{1}{8}$
2. B
   $-\frac{1}{8}$
3. C
   $\frac{1}{16}$
4. D
   $-\frac{1}{16}$

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1. A
   $-\frac{\pi}{6}$
2. B
   $\frac{\pi}{6}$
3. C
   $-\frac{\pi}{3}$
4. D
   $\frac{\pi}{3}$

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1. A
   $\frac{80}{243}$
2. B
   $\frac{40}{243}$
3. C
   $\frac{32}{625}$
4. D
   $\frac{4}{625}$

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1. A
   $3x+8y\leq24,\;4x+5y\leq20,\;5x+3y\geq15,\;x\geq0,y\geq0$
2. B
   $3x+8y\geq24,\;4x+5y\geq20,\;5x+3y\leq15,\;x\geq0,y\geq0$
3. C
   $3x+8y\leq24,\;4x+5y\geq20,\;5x+3y\geq15,\;x\geq0,y\geq0$
4. D
   $3x+8y\geq24,\;4x+5y\leq20,\;5x+3y\leq15,\;x\geq0,y\geq0$

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1. A
   $\frac{124}{49}$
2. B
   $\frac{123}{49}$
3. C
   $\frac{121}{49}$
4. D
   $\frac{122}{49}$

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1. A
   $2\sqrt{x}-\tan^{-1}\sqrt{x}+c$
2. B
   $2\sqrt{x}-\tan^{-1}\sqrt{x}+c$
3. C
   $2\sqrt{x}+\tan^{-1}\sqrt{x}+c$
4. D
   $2\sqrt{x}+\tan^{-1}\sqrt{x}+c$

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1. A
   $x+y=3e^{-2}$
2. B
   $x-y=3e^{-2}$
3. C
   $x-y=3e^2$
4. D
   $x+y=3e^2$

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1. A
   $\frac{x}{2}\tan\!\left(\frac{\log x}{2}\right)+c$
2. B
   $x\tan\!\left(\frac{\log x}{2}\right)+c$
3. C
   $\frac{x}{3}\log\!\left(\tan\frac{x}{2}\right)+c$
4. D
   $x\cdot\tan\!\left(\frac{\log x}{2}\right)+c$

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1. A
   16
2. B
   $-16$
3. C
   $16w$
4. D
   $16w^2$

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