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Calculus

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An ice cube is melting such that the side of the cube is decreasing at the rate of 1/4 t^2 cm / min. It is given that the side of the cube is 8cm at the start of the experiment. Calculate the length of the side of the cube when t = 4? ( answer 2 2/3 cm)

  • Calculus - ,

    ds/dt = -(1/4) t^2

    s = -(1/12) t^3 + 8
    when t = 4

    s = - (1/12)(4*16) + 8
    = -16/3 + 24/3
    = 8/3
    = 2 2/3

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