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find the nearest point from the point (4,1) using the equation 2y=x^2

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We are asked to minimize the distance from the point (4,1) to the curve 2y=x^2:

Use a point on the curve (x,x^2/2). Then we can use the distance formula to find the distance between these points:

d=sqrt((4-x)^2+(1-x^2/2)^2)

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