Calc

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A particle moves along a path described by x=cos³t and y=sin³t. The distance that the particle travels along the path from t=0 to t=π/2 is...

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  • Calc -

    if t=0
    cos^3 0 = 1 , sin^3 0 = 0
    thus position point is (1,0)
    if t=π/2
    cos^3 π/2 = 0 , sin^3 π/2 = 1
    thus position point is (0,1)

    Use your distance between 2 points formula to determine the distance between those two points
    You should get √2

  • Calc -

    0.75

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