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March 29, 2017

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An object moves along a parabolic path defined by the equation y = 2x 2 + 1 in such a way that the y-value is decreasing at a constant rate of 2 units per second. At what rate is the x-coordinate changing when x = 3/2?

  • calc - ,

    I will assume you meant to type
    y = 2x^2 + 1
    dy/dt = 4x dx/dt

    given dy/dt = -2 when x = 3/2

    -2 = 4(3/2) dx/dt
    -2 = 6 dx/dt
    dx/dt = -2/6 = -1/3

  • calc - ,

    post it.

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