Question 1120315
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I am here to fix an error in the @greenestamps solution.


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The distance from the point (0,y), moving along the y-axis, to the point (1,0) fixed in the coordinate plane, is  D = {{{sqrt(y^2+1)}}}   (Pythagoras).


The rate of the distance change is the derivative 


{{{(dD)/(dt)}}} = {{{(1/2)* (2*y* ((dy)/(dt)) / sqrt(y^2+1))}}} = {{{y* ((dy)/(dt)) / sqrt(y^2+1)}}} = 


    now substitute the given value of y= 2 and the given rate  {{{(dy)/(dt)}}} = 6 into the formula to get the rate of the distance change = 


= {{{(2*6/sqrt(1+2^2))}}} = {{{12/sqrt(5)}}} units per second.


<U>Answer</U>.  The rate of the distance change = {{{12/sqrt(5)}}} units per second.
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