Suppose S₆ Is the Lower Sum of the Area Enclosed $f ( x ) = 10 - x ^ { 2 },$

Multiple Choice

Suppose S₆ is the lower sum of the area enclosed by the graph $f ( x ) = 10 - x ^ { 2 },$ the x-axis, and the lines x = 0 and x = 3 by partitioning [0, 3] into six subintervals [0, 0.5], [0.5, 1], [1, 1.5], [1.5, 2], [2, 2.5], and [2.5, 3]. Then S₆ is

A) 18.625
B) 18.635
C) 18.645
D) 18.655
E) 18.665