Find the Area of the Region Bounded by the Parabola $y = x ^ { 2 }$

question 113

Multiple Choice

Find the area of the region bounded by the parabola $y = x ^ { 2 }$ , the tangent line to this parabola at $( 3,9 )$ , and the $x$ axis.

• A) \(\frac { 2 } { 3 }\)
• B) \(3 \frac { 1 } { 3 }\)
• C) \(47 \frac { 2 } { 3 }\)
• D) \(\frac { 9 } { 4 }\)
• E) \(27 \frac { 2 } { 2 }\)

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Definitions:

After-tax Real Interest Rate

The interest rate adjusted for inflation after taxes have been taken into account.

Nominal Interest

The interest rate before adjustments for inflation. In contrast, real interest rates take inflation into account.

After-tax Real Interest Rate

The real interest rate that remains after adjusting for both inflation and the impact of taxes, reflecting the actual earning power of an investment after inflation and tax effects.

Inflation Rate

The percentage rate of increase in the general level of prices for goods and services in an economy over a period of time.