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

question 127

Short Answer

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:

Yield

The income return on an investment, such as the interest or dividends received, expressed as an annual percentage based on the investment's cost, its current market value, or its face value.

Taxable Bonds

Bonds whose interest payments are subject to federal, state, or local income taxes.

Exercise Price

The cost at which an option's holder may purchase (for a call option) or sell (for a put option) the base asset.

Put Option

A financial contract giving the holder the right, but not the obligation, to sell a specific amount of an underlying asset at a set price within a specified time.