calculus

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On the graph of f(x)=6sin(8πx), 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.

• calculus -

y = 6 sin 8 pi x

low point is -6 when 8 pi x = -pi/2
or x = -1/16

high point is +6 when 8pix = pi/2
or x = +1/16
change in y = 12
change in x = 1/8
dy/dx = slope = 12/(1/8) = 96

• calculus -

On the graph of f(x)=7sin(7pi x), 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.

• calculus -

tf

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