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Letx:D→E3 be a local surface defined by D={z∈R,o∈(0,2)}CR2and

By December 6, 2021No Comments

Letx:D→E3 be a local surface defined by D={z∈R,o∈(0,2)}CR2andcosh z cos ox(z,9)=cosh z sin2(a)Prove this is a regular local surface and compute the first fundamental form.[2 marks](b)Find the unit normal and carefully describe the image of the Gauss map.Compute the second fundamental form.[1 marks](c)Calculate the principal curvatures and deduce the Gauss and mean curvatures.1 marks)

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