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Please answer it in 10 hours
Don't copy others answer
Please write it clearly，then I'll give you upvote

Please Answer It In 10 Hours Don T Copy Others Answer Please Write It Clearly Then I Ll Give You Upvote 1 (21.76 KiB) Viewed 62 times

Let I be the the intersection of the cylinder x² + y² = 4 with the plane x+y+z = 0, and let R be the part of the plane x+y+z= 0 that is enclosed inside the cylinder x² + y² = 4.
(a) Find a continuously differentiable function : [0, 2π] (b) Evaluate the integral (y² - x²) ds. [(y² - x²) ds. → R³ that parametrizes I. (c) Find a continuously differentiable mapping r: D → R³, with D a Jordan domain in R², that parametrizes the surface R.