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The Curve with the Equation x2/3+y2/3=25x ^ { 2 / 3 } + y ^ { 2 / 3 } = 25

question 51

Essay

The curve with the equation x2/3+y2/3=25x ^ { 2 / 3 } + y ^ { 2 / 3 } = 25 is called an asteroid. Find an equation of the tangent to the curve at the point (486,1)( 48 \sqrt { 6 } , 1 ) .
 The curve with the equation  x ^ { 2 / 3 } + y ^ { 2 / 3 } = 25  is called an asteroid. Find an equation of the tangent to the curve at the point  ( 48 \sqrt { 6 } , 1 ) .

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Definitions:

Fair Market Value

The price that property would sell for on the open market, between willing buyers and sellers under no pressure to act.

Capital Balances

The amount of money that the owners or shareholders have invested in the company.

Salary Allowances

Additional benefits or compensations given to employees over and above their regular salary, which could include housing, transportation, or medical allowances.

Net Income

The ultimate earnings of an enterprise once it has accounted for all expenditures and taxes against its total sales.

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