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If (x-a)^2+(y-b)^2=c^2, for some c > 0, ...

If `(x-a)^2+(y-b)^2=c^2`, for some `c > 0`, prove that `([1+((dy)/(dx))^2]^(3/2))/((d^2y)/(dx^2))`is a constant independent of a and b.

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To prove that \(\frac{(1 + \left(\frac{dy}{dx}\right)^2)^{\frac{3}{2}}}{\frac{d^2y}{dx^2}}\) is a constant independent of \(a\) and \(b\), we start with the given equation: \[ (x - a)^2 + (y - b)^2 = c^2 \] where \(c > 0\). ...
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