Question: Decide, with proof, whether or not x(u, v) = (sinu, sin v, sin(u +v)), for u and vin (7/2, 7/2), is a simple surface.

Decide, with proof, whether or not x(u, v) = (sinu, sin v,

Decide, with proof, whether or not x(u, v) = (sinu, sin v, sin(u +v)), for u and vin (7/2, 7/2), is a simple surface. (b) (i) Using the definition or otherwise prove that M := {(x, y, 2) E R:2-2r+y +2=1} is a surface. (ii) Find the tangent space to M at p= (0, 1,0). [7 marks]

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