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kelsey.schillo Group Title

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?

  • one year ago
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  1. satellite73 Group Title
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    i would use a spread sheet, but wolfram would do

    • one year ago
  2. satellite73 Group Title
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    want me to put one in for you to see?

    • one year ago
  3. satellite73 Group Title
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    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

    • one year ago
  4. satellite73 Group Title
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    http://www.wolframalpha.com/input/?i=sin%2810pi%2F2%29%2F%282-1%29

    • one year ago
  5. satellite73 Group Title
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    now leave it as a template, but replace \(x\) by \(1.5\)

    • one year ago
  6. satellite73 Group Title
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    http://www.wolframalpha.com/input/?i=sin%2810pi%2F1.5%29%2F%281.5-1%29

    • one year ago
  7. satellite73 Group Title
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    lost another one...

    • one year ago
  8. goformit100 Group Title
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