Sunday, 15 August 2021

Consider the curves x2+y2−4x−6y−12=0, 9x2+4y2−900=0 and y2−6y−6x+51=0. The maximum number of disjoint regions into which these curves divide the XY-plane (excluding the curves themselves), is
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Define f:R→R by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \ 0, ...