## kelsey.schillo 2 years ago 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?

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1. satellite73

i would use a spread sheet, but wolfram would do

2. satellite73

want me to put one in for you to see?

3. satellite73

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

4. satellite73
5. satellite73

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

6. satellite73
7. satellite73

lost another one...

8. goformit100

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