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The Way Professor Waner Drives, He Burns Gas at the Rate

question 7

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The way Professor Waner drives, he burns gas at the rate of 1e3t1 - e ^ { - 3 t } gallons each hour, t hours after a fill-up. Find the number of gallons of gas he burns in the first 13 hours after a fill-up. Please round the answer to the nearest gallon.


Definitions:

Cost Function

A mathematical relationship that describes how production costs change with variations in output level.

Reaction Curves

Graphs showing how one firm’s optimal output decision responds to quantities of output by competing firms in a market.

Simultaneous Equations

A set of equations containing multiple variables that are all solved together.

Cross-License

An agreement between two or more parties to grant mutual rights to their respective intellectual property.

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