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differential calculus

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Find how fast (a) the circumference (b)the area, if a cicle increases when the radius increases.

  • differential calculus -

    For absolute change rates:
    dC/dt = 2*pi*dR/dt

    dA/dt = 2*pi*R*dR/dt

    For relative change rates
    (1/C)dC/dt = (1/R) dR/dt

    (1/A) dA/dt = (2/R)*dR/dt

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