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 one year 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?
 one year 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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satellite73
 one year ago
Best ResponseYou've already chosen the best response.1i would use a spread sheet, but wolfram would do

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1want me to put one in for you to see?

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1the 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

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1http://www.wolframalpha.com/input/?i=sin%2810pi%2F2%29%2F%2821%29

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1now leave it as a template, but replace \(x\) by \(1.5\)

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1http://www.wolframalpha.com/input/?i=sin%2810pi%2F1.5%29%2F%281.51%29

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1lost another one...

goformit100
 one year 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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