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Suppose that x=x(t) and y=y(t) are both functions of t. If x^2+y^2=26 and dx/dt=−2 when x=1 and y=5, what is dy/dt?


  • calculus -

    differentiate implicitly

    2x dx/dt + 2y dy/dt = 0
    sub in the values
    2(1)(-2) + 2(5)dy/dt = 0
    dy/dt = 4/10 - 2/5

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