Find the Area of the Region Bounded by the Curve $\left( \frac { 1 } { 2 } x + 3 \right) ^ { - 1 }$

question 11

Multiple Choice

Find the area of the region bounded by the curve y = $\left( \frac { 1 } { 2 } x + 3 \right) ^ { - 1 }$ , the y-axis, and the line y = 1.

• A) 2 \(\left( \ln \frac { 7 } { 2 } - \ln 3 \right)\)
• B) ln 3
• C) 4 -2 ln 3
• D) ln \(\frac { 7 } { 2 }\) - ln 3
• E) none of these

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Definitions:

Dividends Per Share

The amount of dividend a company pays out to each shareholder for each share they own, indicating the dividend payout per individual share.

Net Income

The net earnings of a company resulting from subtracting all costs and taxes from its overall revenue.

Shares Outstanding

The total number of a company's shares that are owned by shareholders, including both public and private entities, available in the market.

Current Asset

Assets that are expected to be converted into cash, sold, or consumed within one year or the normal operating cycle of the business, whichever is longer.