4. (5 points) Consider the parametric surface in R given by r(u, v) = (v, v...

 

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4. (5 points) Consider the parametric surface in R³ given by r(u, v) = (v², v cos u, v sin u), κ ε [0, 2π], υ ε [0, 0). Find a normal vector field over the surface. 4. (5 points) Consider the parametric surface in R³ given by r(u, v) = (v², v cos u, v sin u), κ ε [0, 2π], υ ε [0, 0). Find a normal vector field over the surface.

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Solution Given that 2 u v xu v i yu vj zu v k where ve xu v y u v z u v sin u Differentiate u ... View the full answer