Consider the regular parametrised surface given by the following parametrisation V : [0, 1] × [–1,1] →R°, ¥ (z, y) = 4 sin(2ry) a) Compute the metric tensor (8] b) Compute the corresponding surface element do = Vdx dy c) Compute the surface normal with positive z-component 1 V 64 cos( 2xy)2 (x² + y² ) + 1

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