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March 30, 2017

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Find all relative extrema in the function h(x)=cos(2pix/3) on the interval [0,2]

  • Calc-extrema - ,

    argument (2 pi x/3) = 0 to 4 pi/3 or zero to 240 degrees.
    max at 0
    min at 180

    at 0, x = 0 and h(x) = 1
    at 180 2 pi x/3 = pi so x = 3/2 and h = -1

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