# Calculus In Parabola

Calculus Level 5

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

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

×