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(4) (15pt) Suppose : (a,b) R? is a regular curve without self-intersection, and its image is denoted by C. Consider S = {(z,y,2) : (z,y)

(4) (15pt) Suppose : (a,b) R? is a regular curve without self-intersection, and its image is denoted by C. Consider S = {(z,y,2) : (z,y) C}. Show that S is a regular surface

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