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Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

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BuyFindarrow_forward

Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Oil Imports from Mexico The following graph shows approximate daily oil imports to the United States from Mexico.60 Also shown is the tangent line at the point corresponding to year 2011.

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a. Estimate the slope of the tangent line shown on the graph. What does the graph tell you about oil imports from Mexico in 2011? [HINT: Identify two points on the tangent line. Then see Quick Example 3.]

b. According to the graph, is the rate of change of oil imports from Mexico increasing, decreasing, or increasing then decreasing? Why?

(a)

To determine

The slope of the tangent of the line passing through the year 2011 and its interpretation by the graph showing daily import of oil for U.S. from México vs. the year (since 2000

).

images

Explanation

Given information:

The graph of daily import of oil for U.S. from México vs. the year (since 2000) is:

From the graph, the tangent line passes through the two points, first point is highlighted as (11,1080) and the second point is taken by the end of tangent line, that is, (13,960).

The slope by using the two points (11,1080) and (13,960) is as follows:

m=y2y1</

(b)

To determine

If the rate of change of oil import from Mexico vs. year is increasing or decreasing. The graph of daily import of oil for U.S. from México vs. the year (since 2000) is:

images

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