# Area, Volume, and Arc Length

### Quizzes

1. |
Let R be the finite region bounded by the graphs y = x^{2}, y = 6 – x, and x = 4. Which picture shows R as the shaded region? -> |

2. |
Which of the following integrals give the area of the shaded region? (I) (II) (III) (IV) -> (I) and (IV) |

3. |
Let R be the region bounded by the graphs of y = x and . Which of the following integrals give the area of R?(I) (II) (III) (IV) -> (I) and (III) |

4. |
Let R be the region graphed below.Which of the following integral expressions give the area of (I) (II) (III) -> (II) and (III) |

5. |
Which of the following integrals gives the area of a right triangle whose non-hypotenuse sides have lengths 7 and 9? -> |

6. |
Which of the following is the area of the unit circle? -> |

7. |
A square has a diagonal of length 10. Which of the following expressions does NOT give the area of the square? -> |

8. |
Below is a graph of the polar function r = f(θ).The area of the shaded region is -> |

9. |
What is the area of one petal of the graph of the polar function r = 1 + cos(3θ)? -> |

10. |
What is the area of the shaded region? -> |