Use a Finite Approximation to Estimate the Area Under the Graph

question 91

Multiple Choice

Use a finite approximation to estimate the area under the graph of the given function on the stated interval as
instructed.
- $f ( x ) = \frac { 1 } { x }$ between $x = 3$ and $x = 6$ using a upper sum with two rectangles of equal width.

• A) \(\frac { 13 } { 432 }\)
• B) \(- \frac { 19 } { 36 }\)
• C) \(\frac { 13 } { 144 }\)
• D) \(- \frac { 19 } { 18 }\)

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Definitions:

Compromise of 1850

A series of laws passed in an attempt to settle the political differences between free and slave states, including the Fugitive Slave Act.

American Party

A political party in the United States, also known as the Know-Nothing Party, that was primarily anti-immigrant and anti-Catholic in the mid-19th century.

Know-Nothings

A nativist political movement in the mid-19th century America, officially known as the American Party, which was anti-Catholic and anti-immigrant.

Republican Party

One of the two major contemporary political parties in the United States, also known as the GOP (Grand Old Party), it was founded in 1854 primarily to oppose the spread of slavery.