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anonymous
 3 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?
anonymous
 3 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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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i would use a spread sheet, but wolfram would do

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0want me to put one in for you to see?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0the point you have is \((1,0)\) so the slope will be \(\frac{y_20}{x_21}\) or just \[\frac{y_2}{x_21}\] now we replace \(x\) by \(2\) and get this

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=sin%2810pi%2F2%29%2F%2821%29

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0now leave it as a template, but replace \(x\) by \(1.5\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=sin%2810pi%2F1.5%29%2F%281.51%29

goformit100
 3 years ago
Best ResponseYou've already chosen the best response.0"Welcome to OpenStudy. I can guide regarding this useful site; ask your doubts from me, for it you can message me. Please use the chat for off topic questions. And remember to give the helper a medal, by clicking on "Best Answer". We follow a code of conduct, ( http://openstudy.com/codeofconduct ). Please take a moment to read it."
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