Earthquake response To simulate the response of a structure to an earthquake, an engineer...

Earthquake response To simulate the response of a structure to an earthquake, an engineer must choose a shape for the initial displacement of the beams in the building. When the beam has length L feet and the maximum displacement is a feet, the equation

has been used by engineers to estimate the displacement y (see the figure). If α = 1 and L = 10, sketch the graph of the equation for 0 ≤ x ≤ 10.

EXERCISE