Suppose that a boat is positioned at the origin 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 an unknown path y = ƒ(x), as shown in the accompanying figure.

a. Show that

b. Solve the equation in part (a) for ƒ(x), using ƒ(30) = 0.

Transcribed Image Text:

f'(x) || -V900 - x² X