Find the surface area of the parametric surface F (и, v) — (2 сos(2и) + vcos(u), 2 sin(2u) + vcos(u), vsin(u)) where -T < u
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A: Solution: ∬(x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z…
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A: This is a multi-variable calculus.
Q: Q3 Evaluate Curlv-ñ , where v=2xyi +(x -2y)j+xzk and ñ is a unit vector normal to the surface shown…
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Q: 2)Use Stokes' Theorem to evaluate [F.dr where E2xyi, y² j‡ 2xzk and Sis the first octant с surface…
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Q: (6) Calculate the surface integral SSs F · ñdS where F = (ze", –3ze"V, xy) and S is the…
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Q: 4. Consider the surface given by z = x x²esin y. (a) Find the equation of the tangent plane to z =…
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Q: Evaluate the surface integral. (x + y + z) dS, S is the parallelogram with parametric equations x =…
A: Evaluate the surface integral
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Q: 3- Find the surface area of the solid obtained by rotating the curve z= 2/4- y; 0Sysabout the…
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A: Formula Used:- Surface Area is given by For ϕ(u, v)=<p, q, r>Surface Area =∬ ||φu×φv|| dudv
Q: Evaluate the surface integral. (x + y + z) ds, S is the parallelogram with parametric equations x =…
A: Solve it.
Q: Sketch the section of the surface at z = 0 on y = sinx in xy-plane on [0,27). y = sinx 4 56 1 3. 6…
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Q: S is the surface with parametric equations x = Зи+ v, у — Зи— v, z = uv for (u, v) in the region D…
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Q: Evaluate the surface integral. xyz dS, S is the cone with parametric equations x = u cos(v), y = u…
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Q: Evaluate the surface integral. SSs yz ds S is the surface with parametric equations x = u2, y =…
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Q: Evaluate the surface integral. (x + y + z) dS, S is the parallelogram with parametric equations x =…
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Q: Find the area of the surface obtained by rotating the given curve about the x-axis. x=…
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Q: 1) Let h(x, y) = x* – 4xy² – 2x² + 8y². Find and classify all local extrema of the surface using the…
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Q: - S is the surface with parametric equations x = 3u+v, y = 3u-v, z = uv for (u, v) in the region D…
A: We will find out the required value.
Q: Find the Surface Area rotating around the y-axis
A: Given curve is
Q: Find the area of the regions bounded by the parametric curves and the indicated values of the…
A: We will find the area.
Q: Sketch the section of the surface at z = 0 on y = sinx in xy-plane on [0,2x]. y = sinx 1 3 4 5 1 1 2…
A: Let's find.
Q: The parametric representation of the surface x2 -8x + z2 = 0,0 < y 5 5 %3D is a) (u, v) = (4 cos u ,…
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Q: Evaluate the surface integral. (x + y + z) ds, S is the parallelogram with parametric equations x =…
A: here, f (x, y,z) = x + y + z the parametric representation of the surface S x = u + v y = u -v z =…
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