Calculus In Parabola

Calculus Level 5

Let SS be the focus of y2=4x.y^2 = 4x. Point PP is moving on this curve such that its abscissa is increasing at a rate of 4 4 units per second. Then the rate of increase of the length of projection of SPSP on x+y=1 x + y =1 when PP is at (4,4) (4,4) is γ\gamma.

Find 103γ10^3\gamma to 1 decimal place.

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