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A comet following a hyperbolic path about the sun has a perihelion of 140 Gm. When the line from the comet to the Sun is perpendicular to the focal axis of the orbit, the comet is 405 Gm from the...

The equations x + 3 x^{3/2} = t^2 + t and y\sqrt{t+1}+2t\sqrt{y} = 2 define x and y implicitly as differentiable functions x=f(t) and y=g(t). Find the slope of the curve x=f(t), y=g(t)...

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