72. Architectural Engineering Dave, an engineer at the Trumbauer Group, Inc., an architectural firm, completes structural specifications for a 172-ft-long steel beam, anchored at one end to a piling 20 ft above the ground. He knows that when a 200−lb object is placed d feet from the anchored end, the beam bends s feet where
s=(3×10−7)d2(550−d)
(a) What is the independent variable in this polynomial function?
(b) What are the dimensions of a viewing window that shows a graph for the values that make sense in this problem situation?
(c) How far is the 200−lb object from the anchored end if the vertical deflection is 1.25 ft ?
