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    Confused_111's Avatar
    Confused_111 Posts: 19, Reputation: 1
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    #1

    Nov 10, 2007, 09:02 PM
    Analysis of Circular Functions
    Hi there could you please guide me in the right direction for this question:

    The graph y=12sin(PI/5)x gives the height in cm of a piston above the centre axis (x) seconds after being trned on.

    A) State the minimum and maximum displacement of the piston from the centre axis.
    terryg752's Avatar
    terryg752 Posts: 197, Reputation: 4
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    #2

    Nov 10, 2007, 10:13 PM
    By sin(PI/5)x do you mean

    x sin(PI/5)

    or sin[(PI/5)x] ?


    At Minimum values, dy/dx = 0 and d^2y/dx^2 > 0


    At Maxmum values, dy/dx = 0 and d^2y/dx^2 < 0

    Hence make dy/dx = 0 and find corresponding values of x.

    At these values, compute d^2y/dx^2. When this is negative, you have a Maximum
    and when this is positive you get a Minimum.

    However, remember, that mathematical Maximum and Minimum do not necessarily correspond to the Greatest and Least respectively.

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