**Problem**

Evaluate $\displaystyle \int_0^1 \dfrac{x \, dx}{x^2 + 2}$.

A. 0.2027 | C. 0.2270 |

B. 0.2207 | D. 0.2072 |

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- 689 reads

**Problem**

Determine the radius of curvature of the curve $x = y^3$ at point (1, 1).

A. 5.27 | C. 5.56 |

B. 5.65 | D. 5.72 |

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- 4683 reads

**Problem**

Calculate the area enclosed by the curve $x^2 + y^2 - 10x + 4y - 196 = 0$.

A. 15π |
C. 169π |

B. 13π |
D. 225π |

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- 753 reads

**Problem**

The first three terms of a geometric progression are 2*x*, 4*x* + 14 and 20*x* - 14. Find the sum of the first ten terms.

A. 413,633 | C. 489,335 |

B. 498,533 | D. 431,336 |

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- 715 reads

**Problem**

A 50-m steel tape that is is 0.02 m too long was used to measure the distance between two points *A* and *B*. If the measured distance was 160.42 m, calculate the correct distance between *A* and *B*.

A. 160.356 m | C. 160.844 m |

B. 160.484 m | D. 160.563 m |

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- 2308 reads

**Problem**

A circle has an equation of $x^2 + y^2 + 2cy = 0$. Find the value of $c$ when the length of the tangent from (5, 4) to the circle is equal to one.

A. 5 | C. 3 |

B. -3 | D. -5 |

**Problem**

Calculate the acute angle between two intersecting surfaces whose equations are as follows:

$$2x - 4y - z = -5$$

$$3x + 4y + 5z = -6$$

A. 62.4° | C. 42.6° |

B. 64.2° | D. 46.2° |

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- 544 reads

**Problem**

If $\arcsin (3x - 4y) = 1.571$ and $\arccos (x - y) = 1.047$, what is the value of $x$?

A. 0.5 | C. 1.5 |

B. 1.0 | D. 2.0 |

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- 768 reads

**Problem**

The digits of a three-digit number are in arithmetic progression. If you divide the number by the sum of its digits, the quotient is 26. If the digits are reversed, the resulting number is 198 more than the original number. Find the sum of all the digits.

A. 9 | C. 15 |

B. 12 | D. 18 |

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- 1244 reads

**Problem**

There are 7 arithmetic means between 3 and 35. What is the sum of all the terms?

A. 133 | C. 665 |

B. 608 | D. 171 |

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- 1224 reads