# Area, Volume, and Arc Length

### Quizzes

1. |
What is the length of the line segment between the points (2,1) and (5,7)?→ |

2. |
The length of the curve of the function f(x) for a ≤ x ≤ b is→ |

3. |
Consider the graph of the function f(x) below.Which of the following could be the arc length of the function |

4. |
On the interval [-2,2], the length of which curve is closest to 6.3?→ |

5. |
Which integral gives the length of the curve f(x) = x^{3} + 2x^{2} on [-1,1]?→ |

6. |
Which integral gives the length of the portion of the curve f(x) = x^{2} – 4x – 5 that lies below the x-axis?→ |

7. |
What is the arc length, over the interval a ≤ t ≤ b, of a parametric curve described by the functions x(t) and y(t)?→ |

8. |
Let x(t) = 3t and y(t) = -2t. What is the length of the curve described by these functions for -1 ≤ t ≤ 4? |

9. |
What is the length of the curve described by the equations
between the points (2,1) and (5,10)?→ |

10. |
What is the arc length of the polar function r = θ^{2} for α ≤ θ ≤ β?→ |