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OpenStudy (anonymous):
A particle is moving along the curve y= 5 \sqrt{4 x + 4}. Let D be the distance from the location of the particle on the curve to the origin. As the particle passes through the point (3, 20), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of D at this instant.
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OpenStudy (anonymous):
think you can help me @Isaiah.Feynman ?!
OpenStudy (isaiah.feynman):
Sure.
OpenStudy (isaiah.feynman):
Remember the distance formula?
OpenStudy (anonymous):
yes!
OpenStudy (anonymous):
sqrt( (x2-x1)^2 + (y2-y1)^2 )
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OpenStudy (isaiah.feynman):
Good. Differentiate it implicitly.
OpenStudy (dan815):
yes use related rates
OpenStudy (dan815):
|dw:1385693116294:dw|
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