f(x,y,z) dS using a parametric description of the surface. Evaluate the surface integral f(x,y,z) = 2x, where S is the cylinder x+z = 36, for 0sys1 %3D Write a parametric description of the given cylinder using u = 0 and v = y. %3D r(u,v) = ) where 0sus (Type exact answers.) svs] and SVS The value of the surface integral is (Type an exact answer.)

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Q: Evaluate the surface integral f(x.y.z) dS using a parametric description of the surface. f(x.y.z) =…

A: We have to evaluate ∬Sfx,y,zdS. Given fx,y,z=3x2+3y2 and S is the hemisphere x2+y2+z2=16 for z≥0.…

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Q: ) Evaluate the surface integral f, A • dS over the cylindrical surface a) (. which is described as…

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Q: Evaluate the surface integral. xyz ds, S is the cone with parametric equations x = u cos(v), y = u…

A: See the attachment

Q: (a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric…

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Q: (a) Give a parametrization of the portion of the sphere x² + y² + z² = 9, restricted to the region y…

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Q: Flux Integral, Evaluate double integral S of sin(y)*cos(z)i +e^x*cos(z)j+cos(y)*ln(1+x^2)k)·NdS,…

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Q: (a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluate the line integral in Stokes' Theorem to evaluate the surface integral||(VXF) •n ds. Assume…

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Q: 64. Verify Stokes' theorem for F = xz i – yj +x?y k, where S is the surface of the region bounded by…

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Q: Find the surface integral SI. /I. f(x, y, z)dS H of the function f(x, y, z) = (x² + y²)³ 3 over the…

A: fx, y, z  = x2zx2 + y23,The cylindrical segement H,H = x, y, z∈ℝ3 ; x2 + y2 = 4 and 0≤z≤4

Q: Evaluate the surface integral | f(x,y,z) dS using an explicit representation of the surface. S…

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Q: 5. Use cylindrical coordinates to find the integral of f(x,y,z) = 2z in the cone C = {(x, y,z)| 0…

A: Jacobian for cylindrical coordinates is r.

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Q: Evaluate the surface integral. (x + y + z) ds, Sis the parallelogram with parametric equations x = u…

A: Solution: ∬(x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z…

Q: f(x, y, z) dV over the solid B. Evaluate the triple integral {(x, y, z) | x2 + y? + z? < 16, y z 0,…

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Q: use a parametrization to express the area of the surface as a double integral. Then evaluate the…

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Q: Let S denote the part of the surface z-2 (r-1)2+(y-3)2 contained 1. within the cylinder r? + y? = 1.…

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Q: A surface S is parameterized by: S: r(u, v) = u cos(5v)i + u sin(5v)j + vk, (u, v) E R where Ris the…

A: Given: A surface S is parametrized by:  , where is a region . Also, by surface integral we have, ,…

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Q: Evaluate the surface integral J G(x,.y.z) do using a parametric description of the surface. S 2 2…

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Q: Use Stokes's Theorem to calculate the surface integral S Ss F - dS where F(x, Y, z) = xi + (2ze² –…

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Q: Evaluate the surface integral. (x + y + z) dS, S is the parallelogram with parametric equations x =…

A: Consider the given surface integral, ∬Sx+y+zdS Substitute the values x=u+v, y=u-v, and z=1+2u+v in…

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A: Given query is to eveluate the integral.

Q: the surface integral s f dS using a parametric description of the surface. 25. f(x, y, z) = x² + y²,…

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Q: 22. A surface has an equation of z² + 2x² + 3y² = 4. Through Stoke's Theorem, evaluate the surface…

A: Given : F=xi+yj+x+y2k             z2+2x2+3y2=4 To Find : Surface integral

Q: Set up, but do not evaluate, the integral expression for the total mass of the lamina in polar…

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Q: se Stokes' theorem to evaluate (by a line integral) the surface integral curtF d5, where F (rz,yz,…

A: ∫∫CurlF→.dS→=∫CF→.dr→ Where S is a surface bounded by a smooth boundary curve C with positive…

Q: Let RR be the region enclosed by the loop of the parametric curve x=t^2,y=t^3−3t   (a) Find the…

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Q: C is the intersection of the cylinder with equation (x-1) + z? = 4 with the plane x + 3y +z = 9 in a…

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Q: Evaluate the surface integral I. -4x dS. S Where S is the triangular region with vertices (4, 0, 0),…

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Q: Evaluate the flux integral ∫∫s[0,0,yz] dS, where S is the surface with parametric equation x = uv, y…

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Q: Consider the surface of equation z = x2 + y? and let 2 be the region in R' enclosed by this surface…

A: Note: As per Bartleby guidelines, for more than 3 questions asked, only 3 have to solved. Please…

Q: Evaluate the surface integral G(x,y,z) do using a parametric description of the surface. S 2 2…

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Q: (2) Evaluate the surface integral (i) || zds, where S is the surface, y = r+ 4z, 0<1<2, 0<=< 2 as…

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Q: An iterated double integral for evaluating the surface integral S f,(xy+yz) dS where E is the part…

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Q: 3. Consider the surface integral / (Vx F)-n dS, where F = (0, 0, zyz) and S is that portion %3D of…

A: we will draw the surface z=1-x2-y2 and then follow the procedure

Q: A. Using the double integral to find the volume of the solid that is bounded by the elliptic…

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Q: Evaluate the surface integral|| f(x,y,z) dS using a parametric description of the surface. f(x,y,z)…

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Q: 1. Evaluate the surface integral. (a) /. ryz where S is the cone with parametric equations x = u cos…

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Q: Evaluate the surface integral | G(x.y.z) do using a parametric description of the surface. G(x.y.z)…

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Q: Convert to cylindrical coordinates and evaluate the integral !! /// (r² + y²)* dV_where S is the…

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