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Math Help - damped sine curve help

  1. #1
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    damped sine curve help

    ok so i have to do this assignment,
    damped sine curve help-assignment.png

    ok so i graphed all the data given and i got the following,
    damped sine curve help-graph-function.png

    and i came up with the conclusion that this is a damped sine function which should be in the form of f(x) = A*sin(Bx-C) + D and thus the paremeters are A(amplitude), B(shrink or stretch), C(horizontal shift), and D(vertical shift) however since this has a changing amplitude and period i'm confused on how to approach it.... since it suggests i use a combination of functions i thought if i find the amplitude then i can make an equation of line with amplitude against time and then do the same with period... im really confused...please help as soon as possible thank you very much!
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  2. #2
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    Re: damped sine curve help

    Quote Originally Posted by bakerkhojah View Post
    ok so i have to do this assignment,
    Click image for larger version. 

Name:	assignment.png 
Views:	7 
Size:	83.8 KB 
ID:	26049

    ok so i graphed all the data given and i got the following,
    Click image for larger version. 

Name:	graph of function.png 
Views:	8 
Size:	27.9 KB 
ID:	26050

    and i came up with the conclusion that this is a damped sine function which should be in the form of f(x) = A*sin(Bx-C) + D and thus the paremeters are A(amplitude), B(shrink or stretch), C(horizontal shift), and D(vertical shift) however since this has a changing amplitude and period i'm confused on how to approach it.... since it suggests i use a combination of functions i thought if i find the amplitude then i can make an equation of line with amplitude against time and then do the same with period... im really confused...please help as soon as possible thank you very much!
    A damped sine function would typically be of the form e^{-x}sin(x). You can provide the fit for horizontal displacement, etc.

    -Dan
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