# Calculus In Parabola

Calculus Level 5

Let $$S$$ be the Focus of $$y^2 = 4x$$ and a point $$P$$ is moving on this curve such that it's abscissa is increasing at the rate of $$4$$ units per second, then the rate of increase of length of projection of $$SP$$ on $$x + y =1$$ when P is at $$(4,4)$$ is $$\gamma$$.

Find $$10^3\gamma$$. Give your answer to 1 decimal place.

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