HMMT 二月 2000 · CALC 赛 · 第 3 题
HMMT February 2000 — CALC Round — Problem 3
题目详情
英文原题
- A re tangle of length and heigh t 4 is bise ted b y the x-axis and is in the rst andfourth quadran ts. The graph of y = sin( x ) + C divides the area of the square in half.4
What is C?
解析
英文解析
- sin x + C = 0, from the statemen t of the problem. So, [ os x + C x ℄ j = 0. Th us,
0 0
p p
2 2 4
os + C + 1 = 0. So, + C + 1 = 0, and solving for C , we nd that C = .2
4 4 2 4 1