SOLUTION: A particle is moving in the positive direction, away from the origin along the graph of y = x^2. At what point on the curve are the x and y-coordinates of the particle changing at
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Question 1192715: A particle is moving in the positive direction, away from the origin along the graph of y = x^2. At what point on the curve are the x and y-coordinates of the particle changing at the same rate? Answer by ikleyn(52788) (Show Source):
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A particle is moving in the positive direction, away from the origin along the graph of y = x^2.
At what point on the curve are the x and y-coordinates of the particle changing at the same rate?
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From y = x^2, we have dy = 2x*dx. (1)
They want dy = dx, so we put dy = dx = c and substitute this (unknown) value of "c" into equation (1)
c = 2x*c.
Canceling "c" in both sides, we get x = = 0.5.
So, the ANSWER is the point (x,y) = (0.5,0.25).
