Let a and b be two positive constants and define the regular surface patch o(u, v) = (au, bv, u² + v*). 1. Find the standard unit normal to the surface patch o at the point o(a, b). 2. Determine the first fundamental form of o.
Let a and b be two positive constants and define the regular surface patch o(u, v) = (au, bv, u² + v*). 1. Find the standard unit normal to the surface patch o at the point o(a, b). 2. Determine the first fundamental form of o.
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Transcribed Image Text:Let a and b be two positive constants and define the regular surface patch
o(u, v) = (au, bv, u² + v²).
1. Find the standard unit normal to the surface patch o at the point
o(a, b).
2. Determine the first fundamental form of o.
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