Chapter 13.1, Problem 34E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Oil imports** Crude oil and petroleum products are imported continuously by the United States. The following table and figure show the net expenditures for U.S. oil imports for selected years (in billions of dollars per year) (

(b) What does this area represent in terms of U.S. oil imports?

Year | Billions of Dollars | |

2014 | 219.5 | |

2016 | 192.0 | |

2018 | 191.0 | |

2020 | 198.9 | |

2022 | 214.5 | |

2024 | 228.4 |

**(a)**

To determine

**To calculate:** The area under the curve in the graph using

Explanation

**Given Information:**

The provided graph and table are,

Years | Billions Of Dollars |

**Formula used:**

The base of the rectangles to approximate the area is *n* subintervals.

The height of the rectangles is the value of the function calculated at the left-hand end point of the interval containing the base.

The area of a rectangle is

The approximated area under the curve is sum of the areas of each rectangle.

**Calculation:**

Consider the provided table and graph,

Years | Billions Of Dollars |

Since, the table represents the corresponding values of *y* at various *x*.

Thus, the height of the function from

The base of the rectangles to approximate the area is *n* subintervals

**(b)**

To determine

What the area under the curve in the graph represents where the graph shows the net expenditures for U.S. oil imports.

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