Word problem Derivative of Distance formula Super hard. Please help.

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Homework Help Overview

The problem involves a point moving along the curve defined by the equation y=√x. The scenario describes the rate of change of distance between this point and a fixed point (2,0) as the x-coordinate increases at a specific rate.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of the distance formula to find the distance between the moving point and the fixed point. There is an attempt to clarify the setup of the problem and the variables involved.

Discussion Status

Some participants are exploring the problem's setup and attempting to define the distance function. There is an indication of confusion regarding the initial attempts, and one participant has expressed a desire for a detailed walkthrough of the solution process.

Contextual Notes

The original poster has indicated uncertainty about their initial approach, describing it as completely wrong. There is also a note of a typographical error in the initial post regarding the term "curve."

algar32
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Word problem Derivative of Distance formula... Super hard. Please help.

Homework Statement



A point P is moving along the cruve whose equation is y=√x. Suppose that x is increasing
at the rate of 40 units/s when x=3. How fast is the distance between p and the point (2,0) changing\
at that instant?


Homework Equations


Distance forumula


The Attempt at a Solution


Not even posting it... Its completely wrong


Can you please show me how to do this? Show your work please.

Thanks you.
 
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Sorry I meant to say curve... not cruve.
 


Let's call the distance between P and (2,0) as s and P has the coordinates (x,y).

What is the distance between P and (2,0) ? (Use your distance formula here)
 


i got it
 

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