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## Test Your Math Skills

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Question 1 |

Find the exact value of \(\cot{30^\circ}\)

A | \(\displaystyle{\frac{\sqrt{3}}{2}}\) |

B | \(\displaystyle{\frac{\sqrt{3}}{3}}\) |

C | \(\displaystyle{\frac{1}{2}}\) |

D | \(\displaystyle{\frac{\sqrt{2}}{2}}\) |

E | \(\displaystyle{1}\) |

F | \(\displaystyle{\sqrt{3}}\) |

Question 2 |

Calculate \[ (0.8)^2\]

A | \(\displaystyle{0.16}\) |

B | \(\displaystyle{6.4}\) |

C | \(\displaystyle{64}\) |

D | \(\displaystyle{16}\) |

E | \(\displaystyle{0.64}\) |

F | \(\displaystyle{0.064}\) |

G | \(\displaystyle{1.6}\) |

Question 3 |

Find the value of the improper integral below.
\[ \int_0^{\infty} \frac{x+1}{\left(x^2+2x+2\right)^2} dx\]

A | \(\displaystyle{0}\) |

B | \(\displaystyle{\infty}\) |

C | \(\displaystyle{\frac{1}{4}}\) |

D | \(\displaystyle{1}\) |

E | \(\displaystyle{\frac{1}{2}}\) |

Question 3 Explanation:

Question and answers courtesy of this site.

Question 4 |

Change \(6\frac{1}{5}\) to a percent.

A | \(\displaystyle{620\%}\) |

B | \(\displaystyle{62,000\%}\) |

C | \(\displaystyle{6.15\%}\) |

D | \(\displaystyle{6,200\%}\) |

E | \(\displaystyle{62\%}\) |

Question 4 Explanation:

\(6\frac{1}{5}=6.2\) Move the decimal two places to the right (same as multiplying by \(100\)), and there you go!

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