Question

A boat is positioned at the origin (0,0) with a water skier tethered to the boat at the point (30,0) on a rope 30 ft. long. As the boat travels along the positive y-axis, the skier is pulled behind the boat along a path y=f(x). The skier is always pointed directly at the boat and the rope is always tangent to the path y=f(x).

Answer 1

a. Show that \[f \prime(x) = -\frac{ \sqrt9000-x^2 }{ x }\]

please help

Answer 2

hii