Homework SourseOn the graph of fx4sin5pix points P and Q are at consecutive
On the graph of f(x)=4sin(5pix), points P and Q are at consecutive lowest and highest points with P occuring before Q. Find the slope of the line which passes through P and Q.
Solution
f(x)=4sin(5pix) => f\'(x)=20pi.cos(5pix) consecutive lowest and highest points are consecutive zeroes of f\'(x) thus f\'(x) = 0 for x=0.1,0.3, 0.5 ... now, x 0.1 0.3 0.5 f(x) 4 -4 4 slope of line passing through consecutive lowest and highest points:P(0.3,-4) and Q(0.5,4) m=(y2 - y1)/(x2 - x1) = [4 - (-4)]/(0.5 - 0.3) = 8/0.2 = 40 Ans.
