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calculus

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The side of a square are increasing at 2 inches per second. How fast is the diagonal increasing when the side is 3 inches?

  • calculus -

    5113

  • calculus -

    Diagonal --- d
    side ---x

    d^2 = x^2 + x^2
    d = √2x
    dd/dt = √2 dx/dt
    at any length of x
    dd/dt = √2(2)
    = 2√2 inches per second

  • calculus -

    thank you

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