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

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

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1. A
   0
2. B
   $[\vec{a}\vec{b}\vec{c}] + [\vec{b}\vec{c}\vec{a}]$
3. C
   $[\vec{a}\vec{b}\vec{c}]$
4. D
   1

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1. A
   $\sqrt{2}$
2. B
   $\sqrt{3}$
3. C
   3
4. D
   $\dfrac{1}{\sqrt{3}}$

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1. A
   $(3, -2)$
2. B
   $(-2, 3)$
3. C
   $(2, -3)$
4. D
   $(-3, 2)$

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1. A
   $(1+x)^2 \log(1+x) - \frac{1}{2} + c$
2. B
   $\dfrac{(1+x)^2}{2} \log(1+x) + c$
3. C
   $\dfrac{(1+x)^2}{2}\left(\log(1+x) - \frac{1}{2}\right) + c$
4. D
   $\dfrac{1+x}{2}\log(1+x) + c$

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1. A
   $\dfrac{e^x \cdot x}{x+4} + c$
2. B
   $\dfrac{e^x(x+2)}{x+4} + c$
3. C
   $\dfrac{e^x(x-2)}{x+4} + c$
4. D
   $\dfrac{e^x \cdot 2x}{x+4} + c$

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

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1. A
   $\dfrac{1}{5} - \dfrac{3}{5}i$
2. B
   $-\dfrac{1}{5} - \dfrac{3}{5}i$
3. C
   $-\dfrac{1}{5} + \dfrac{3}{5}i$
4. D
   $-\dfrac{3}{5} - \dfrac{1}{5}i$

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1. A
   $\dfrac{41}{65}$
2. B
   $\dfrac{24}{65}$
3. C
   $\dfrac{26}{65}$
4. D
   $\dfrac{28}{65}$

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1. A
   $\{0\}$
2. B
   an empty set
3. C
   $\{\pi\}$
4. D
   $\{0, \pi\}$

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1. A
   $4\displaystyle\int_0^a f(x)\,dx$
2. B
   $\displaystyle\int_0^a f(x)\,dx$
3. C
   $2\displaystyle\int_0^a f(x)\,dx$
4. D
   $-3\displaystyle\int_0^a f(x)\,dx$

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1. A
   $\dfrac{2\pi}{3}, \dfrac{4\pi}{3}$
2. B
   $\dfrac{4\pi}{3}, \dfrac{5\pi}{3}$
3. C
   $\dfrac{5\pi}{6}, \dfrac{7\pi}{6}$
4. D
   $\dfrac{7\pi}{6}, \dfrac{11\pi}{6}$

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1. A
   zero.
2. B
   one.
3. C
   two.
4. D
   infinite.

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1. A
   $-8$
2. B
   8
3. C
   10
4. D
   $\frac{8}{3}$

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1. A
   $\log\dfrac{2-y}{2-x} = 2(y-1)$
2. B
   $-\log\dfrac{1+x-y}{1-x+y} = x+y-2$
3. C
   $\log\dfrac{2-x}{2-y} = x-y$
4. D
   $-\log\dfrac{1-x+y}{1+x-y} = 2(x-1)$

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1. A
   $-3$
2. B
   $-15$
3. C
   $-12$
4. D
   $-9$

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1. A
   $\dfrac{5\pi}{6}$
2. B
   $\dfrac{\pi}{6}$
3. C
   $\dfrac{\pi}{3}$
4. D
   $\dfrac{2\pi}{3}$

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1. A
   1.5
2. B
   2.0
3. C
   1.0
4. D
   3.0

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1. A
   F, T, F
2. B
   T, F, F
3. C
   F, T, T
4. D
   F, F, T

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1. A
   $-1$
2. B
   1
3. C
   0
4. D
   2

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1. A
   $\dfrac{2}{\sqrt{5}}$
2. B
   $\dfrac{2}{\sqrt{5}}$
3. C
   $\dfrac{2}{\sqrt{5}}$
4. D
   $\dfrac{2}{\sqrt{5}}$

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1. A
   $\log\dfrac{x}{y} = cy$
2. B
   $\log\dfrac{x}{y} = cx$
3. C
   $\log\dfrac{y}{x} = cy$
4. D
   $\log\dfrac{y}{x} = cx$

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1. A
   $(8.15)^\circ$C
2. B
   $(11.85)^\circ$C
3. C
   $(28.15)^\circ$C
4. D
   $(31.85)^\circ$C

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1. A
   $\dfrac{7}{25}$
2. B
   $\dfrac{16}{25}$
3. C
   $\dfrac{18}{25}$
4. D
   $\dfrac{19}{25}$

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