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Let M := {(x, y, z) R3 : y = x^2 z^2 }. (i) Describe M as the image of a simple surface. (ii) Determine
Let M := {(x, y, z) R3 : y = x^2 z^2 }.
(i) Describe M as the image of a simple surface.
(ii) Determine the coefficients of the First Fundamental Form of the surface.
(iii) Determine the coefficients of the Second Fundamental Form of the surface.
(iv) Determine the Gaussian curvature of the surface.
(v) What does the Gaussian curvature tell you about the surface?
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