# November 1994

**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 |

**Problem**

Gas is escaping from a spherical balloon at a constant rate of 2 ft^{3}/min. How fast, in ft^{2}/min, is the outer surface area of the balloon shrinking when the radius is 12 ft?

A. 1/2 | C. 1/3 |

B. 1/5 | D. 1/4 |

**Problem**

Which of the following is the derivative with respect to *x* of $(x + 1)^3 - x^3$?

A. 6x + 3 |
C. 1 + 2x - 3x^{2} |

B. 3x^{2} + 2x + 1 |
D. 6x - 3 |