Let 𝑆 be the part of the surface 𝑧=𝑦2 that lies within the cylinder 𝑥2 +𝑦2 =2, w

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answerhappygod
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Let 𝑆 be the part of the surface 𝑧=𝑦2 that lies within the cylinder 𝑥2 +𝑦2 =2, w

Post by answerhappygod »

Let 𝑆 be the part of the surface 𝑧=𝑦2 that lies within the
cylinder π‘₯2 +𝑦2 =2, with upward orientation. Use Stokes’ Theorem to
evaluate ∫ πΉβƒ‘βˆ™π‘‘π‘Ÿβƒ‘πΆ , where 𝐹⃑(π‘₯,𝑦,𝑧)=βŒ©βˆ’2𝑦𝑧,𝑦,3π‘₯βŒͺ and 𝐢 is the
boundary curve of 𝑆.
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