In Calm Waters, the Oil Spilling from the Ruptured Hull $20 \mathrm { ft }$

question 18

Essay

In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directions. Assuming that the polluted area is circular, determine how fast the area is increasing when the radius of the circle is $20 \mathrm { ft }$ and is increasing at the rate of $\frac { 1 } { 6 } \mathrm { ft } / \mathrm { sec }$ . Round to the nearest tenth if necessary.

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Definitions:

Tax Base

The total amount of assets or income that can be taxed by a governing authority, forming the essential revenue source.

Progressive Income Tax

A tax system where the tax rate increases as the taxable amount increases, placing a higher tax burden on high-income earners.

Ability-to-Pay Principle

A tax principle suggesting that taxes should be levied according to an individual or entity's capacity to pay, generally implying that those with higher incomes should pay more tax.

Proportional Income Tax

A tax system where the tax rate remains constant regardless of the amount of income, thus taxing all income levels at the same percentage.