Solve the Problem $y = \sqrt { x }$ Come to the Point

question 119

Multiple Choice

Solve the problem.
-How close does the curve $y = \sqrt { x }$ come to the point $( 3,0 )$ ? (Hint: If you minimize the square of the distance, you can avoid square roots.)

• A) The distance is minimized when \(x = 2\); the minimum distance is 3 units.
• B) The distance is minimized when \(x = - \frac { 1 } { 3 }\); the minimum distance is \(\sqrt { \frac { 11 } { 4 } }\) units.
• C) The distance is minimized when \(x = \frac { 5 } { 2 }\); the minimum distance is \(\sqrt { \frac { 11 } { 4 } }\) units.
• D) The distance is minimized when \(x = 5\); the minimum distance is 3 units.

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Definitions:

Public Goods

Goods that are non-excludable and non-rivalrous, meaning they can be used by everyone and one person's use does not diminish another's.

Government

The organized assembly or body of individuals leading a structured society, typically a nation.

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Market structures characterized by a single seller facing no competition in offering a unique product or service.

Public Goods

Goods that are non-excludable and non-rivalrous, meaning no one can be prevented from using them and one person's use does not reduce their availability to others.