Find the point on the curve y=√(4x) that is closest the the point (3,0)

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Homework Help Overview

The problem involves finding the point on the curve defined by the equation y=√(4x) that is closest to the point (3,0). This falls within the subject area of calculus, particularly focusing on optimization and distance minimization.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the concept of distance between points, with one suggesting the use of a general distance formula to establish a relationship between the curve and the given point.

Discussion Status

The discussion is in an exploratory phase, with participants questioning how to approach the problem and discussing the necessary formulas without reaching a consensus on a specific method. Guidance has been offered regarding the general distance formula.

Contextual Notes

There is a noted lack of specific information provided in the problem statement, as only the curve equation and the point are mentioned, leaving the participants to derive necessary relationships independently.

mg2
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Homework Statement


Find the point on the curve y=√(4x) that is closest the the point (3,0)


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The Attempt at a Solution


I don't even know where to start.
 
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What's the distance between (x,sqrt(4x)) and (3,0)?
 
It wasnt given. The only thing given was the point, and the equation.
 
mg2 said:
It wasnt given. The only thing given was the point, and the equation.

No, no. In general, what's the distance between two points (a,b) and (c,d)? Use a general distance formula. You don't have to be given the formula.
 
Last edited:

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