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(Solved): 3 What Even is a Hyperbola? (a) Prove that half a hyperbola is not a parabola. E \begin{tabular}{l ...
3 What Even is a Hyperbola? (a) Prove that half a hyperbola is not a parabola. E \begin{tabular}{ll|l} P & C \\ \hline 0 & 0 & 3 \end{tabular} (b) Prove that the unit hyperbola \( \left(x^{2}-y^{2}=1\right) \) is actually just a rotation of the function \( f(x)=\frac{1}{2 x} \). (Hint: It would be useful to graph both these functions and
Expert Answer
A hyperbola is a type of conic section, which is the curve obtained by cutting a double-napped cone (or two cones placed base-to-base) with a plane th