Prove that if G is a connected graph, then for any A EN, P(G, X) <...

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Show that if G is a connected graph, then it is possible to remove vertices to disconnect G if and only if G is not a complete graph
If G is a loop-free undirected graph with at least one edge, prove that G is bipartite if an only if x (G) = 2.
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A \(1.0-\mathrm{cm}\)-tall object is \(60 \mathrm{~cm}\) in front of a diverging lens that has a \(-30 \mathrm{~cm}\) focal length. Calculate the image position and height.
A 3.0-cm-tall object is \(15 \mathrm{~cm}\) in front of a convex mirror that has a \(-25 \mathrm{~cm}\) focal length. Calculate the image position and height.
A 3.0-cm-tall object is \(45 \mathrm{~cm}\) in front of a concave mirror that has a \(25 \mathrm{~cm}\) focal length. Calculate the image position and height.