Calculus:The tangent and Velocity Problem
a.) The points P(1,0) lies on the curve y=sin(10pi/x):

1.) if Q is the point (x,sin(10pi/x)), find the slope of the secant line PQ (correct to 4 decimal points) for x=2, 1.5, 1.4, 1.3, 1.1, 0.5, 0.6 ,0.7, 0.8, and 0.9? Do the slopes appear to be approaching a limit?

Question

Calculus:The tangent and Velocity Problem
a.) The points P(1,0) lies on the curve y=sin(10pi/x):

1.) if Q is the point (x,sin(10pi/x)), find the slope of the secant line PQ (correct to 4 decimal points) for x=2,  1.5,  1.4,  1.3,  1.1,  0.5,  0.6  ,0.7,   0.8, and  0.9? Do the slopes appear to be approaching a limit?

anonymous · Answer

i would use a spread sheet, but wolfram would do

anonymous · Answer

want me to put one in for you to see?

anonymous · Answer

the point you have is $(1,0)$ so the slope will be $\frac{y_2-0}{x_2-1}$ or just 
$$\frac{y_2}{x_2-1}$$  now we replace $x$ by $2$ and get this

anonymous · Answer

http://www.wolframalpha.com/input/?i=sin%2810pi%2F2%29%2F%282-1%29

anonymous · Answer

now leave it as a template, but replace $x$ by $1.5$

anonymous · Answer

http://www.wolframalpha.com/input/?i=sin%2810pi%2F1.5%29%2F%281.5-1%29

anonymous · Answer

lost another one...

goformit100 · Answer

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