Use Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = yzi + 2xzj + eYk, C is the circle x2 + y2 = 9, z = 4.

Q: Let F = Use Stokes' Theorem to evaluate · dī, where C is the curve of intersection of the parabolic…

A: To find the curl , ∇×F=i^j^k^∂∂x∂∂y∂∂zxy5z7y=i^7-5-j^0-0+k^0-x=2i^-xk^ To find the normal vector,…

Q: Let F = %3| Use Stokes' Theorem to evaluate curlF · dS , where S is the hemisphere x? + y? + z² =…

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Q: Use Stokes' Theorem to evaluate ſc F · dr. C is oriented counterclockwise as viewed from above.…

A: Given Fx,y,z=yz i +5xz j +exy k  and C is the circle x2+y2=1, z=3. By stokes theorem we have…

Q: Use Stokes' Theorem to evaluate  F · dr  where C is oriented counterclockwise as viewed from above.…

A: The given vector field and region C is as follows.

Q: Use Stokes' Theorem to evaluate F. dr. F(x, y, z) = 10(x – y)i+ 10(y – 2)j+ 10(z – x)k - where C is…

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Q: Use Stokes' theorem to evaluate curl(F) · dS. F(x, y, z) = exy cos(z)i + x2zj + xy k, S is the…

A: F(x, y, z) = exy cos (z) i + x2 z j + xy k

Q: Use Stokes' Theorem to evaluate F. dr, where F (x, y, z) = zi + yj – xk and C is the boundary of the…

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Q: Use Stokes' theorem to evaluate (ry – y) i – In zj+ (r+r²) k) - dr, where C is the intersection…

A: Let F be a vector field and C be the boundary of the surface S. The Stoke's theorem states that…

Q: Fdr where C is oriented counterclockwise as viewed from above. Jc Use Stokes' Theorem to evaluate…

A: Consider the given question,

Q: Evaluate the contour integral using the parametric representation for C, where 22 – 1 f(2) and the…

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Q: Use Stokes' theorem to evaluate      CF · dr  where C is oriented counterclockwise as viewed from…

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Q: Use Cauchy's theorem or integral formula to evaluate the integrals. sin z dz T dz, where C is the…

A: Using Cauchy's theorem or integral formula we evaluate the given integrals.

Q: Let F < xy, 6z, 3y Use Stokes' Theorem to evaluate F · dī, where C is the curve of intersection of…

A: The given problem is to evaluate the line integral using stokes theorem, we have to find the limits…

Q: Use Stokes' Theorem to evaluate ∫CF⋅dr. In each case C is oriented counterclockwise as viewed from…

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Q: Use Stokes' Theorem to evaluate F. dr, where F(x, y, z) = xzi+ xyj+2xz k,•. and C is the boundary of…

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Q: Use Stokes' theorem to evaluate ∮C z2ex^2 dx + xy2dy + tan− 1 (y)dz where C is the circumference x2…

A: Application of Stokes Theorem:

Q: Let F = . Use Stokes' Theorem to evaluate curlF · dS , where S is the hemisphere x? + y? + z2 = 9,…

A: Given that, F=x2eyz,xexz,z2exy Given hemisphere that S:x2+y2+z2=4,z≥0 From stoke's theorem, ∬Scurl…

Q: 339. Use Stokes' theorem to evaluate curl F · dS, where F(x, y, z) = e®Ycos zi + æ²zj+ xyk, and S is…

A: please see the next step for solution

Q: Use Stokes’ Theorem to evaluate ∫c F ⋅ dr. In each case C is oriented counterclockwise as viewed…

A: Given: f(x,y,z) = xyi + yzj + zxk C is part of paraboloid z= 1- x2-y2   so, A/c to stroke theoram…

Q: Use Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above.…

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Q: Suppose F(x,y)=(4x−4y)i +3xj  and C is the counter-clockwise oriented sector of a circle centered…

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Q: Let F = . Use Stokes' Theorem to evaluate / curlF · d5, where S is the hemisphere x² + y² + z² =…

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Q: Use Stokes' Theorem to evaluate F. dr. Jc z = 25 – 22 – y? - F(r, y, z) = 7zi + 6xj+ 8yk where C is…

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Q: Let F = Use Stokes' Theorem to evaluate / F. dī, where Cis the curve of intersection of the…

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Q: Use Stokes' Theorem to evaluate F. dr, where F(x, y, z) = zi + yj – rk and C is the boundary of the…

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Q: Let F(x, y, z) (x - 2)2 + (y – 1)2 = 9, z 0 oriented in the counter-clockwise direction. (y? + z3,…

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Q: Let M(r, y) = y – cos y and N(r, y) = x sin y. Use the Green's Theorem to calculate the line…

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Q: Use Green’s Theorem to evaluate the line integral Z C−→F . d−→r , where C is the circle x^2 + y^2 =…

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Q: Let F = < 4x + y², 5y + z, 9z + x So F. dī, Use Stokes' Theorem to evaluate C where C is the…

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Q: :) Use Stokes' theorem to evaluate RF dr where C F = z?i + yj + xk and C is the triangle with…

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Q: Jse Stokes' Theorem to evaluate O F. dr where C is oriented counterclockwise as viewed from above.…

A: as per guidelines i answered. Thank you...

Q: Use Stokes' theorem to evaluate curl F- ds. F(x, y, z) = ze'i + x cos(y)j + xz sin(y)k, S is the…

A: The given vector, F(x,y,z)=zeyi+xcos(y)j+xzsin(y)k Use Stokes theorem to find, ∬Scurl F. dS=∬∫curl…

Q: Given F(x, y, z) = xzi + 3yj + yzk be a vector function that passes through a surface S of z+x? + y?…

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Q: Use Stokes' theorem frotF. ds to evaluate F(x, y, z) = (x + tan¯¹yz)i + y²zj + zk, S is the part of…

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Q: Let F < ryz, ry, r'yz Use Stokes' Theorem to evaluate curlF dS, where S consists of the top and the…

A: The given surface is a cube, where the bottom face is not considered. The surface in question has 4…

Q: Use the Stokes' theorem to evaluate p Fdr where F = 3yi + yj+ :k and C is the circle r2 + y? = 3 at…

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Q: Use Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above.…

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Q: Let C be the circle x + y = 16 oriented counterclockwise. %3D Use Green's Theorem to evaluate the…

A: Let C be the circle x2+y2=16 oriented counterclockwise. Use Green's theorem to evaluate the…

Q: Use Stokes' Theorem to evaluate curl F· ds. F(x, y, z) = ze'i + x cos(y)j + xz sin(y)k, S is the…

A: Stoke's theorem: The surface integral of the normal component of the curl of F is equal to the line…

Q: Use Stokes' Theorem to find m # 0 satisfying F · dr = -5, whereF(r,y, z) = (3yx² + z³, y², 4yx²) e C…

A: Given:

Q: Use Stokes' Theorem to evaluate F · dr where C is oriented counterclockwise as viewed from above.…

A: Concept Used: ∫CF·dr=∫∫ScurlF·dS Where C is the boundary of the surface oriented counterclockwise

Q: Use Stokes' theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above.…

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Q: Suppose F(x, y) = (4x – 3y)i + 4xj and C is the counter-clockwise oriented sector of a circle…

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Q: For the parametric surface r(u, v) = (u cos v, u sin v, 0) where 0 ≤ ≤2 and 0 ≤ ≤ 27 and which is…

A: Given r(u,v)=u cosv, u sinv, 0 where 0≤u≤2,  0≤v≤2π r→u=cosv, sinv, 0 r→v=-u sinv, u cosv, 0…

Q: Let F = . Use Stokes' Theorem to evaluate curlF · dS , where S S is the part of the paraboloid z = 9…

A: Find your answer below

Q: Use Stokes' theorem to evaluate curl(F) · ds. F(x, y, z) = exYi + ej + xzk, Sis the half of the…

A: Given: F(x,y,z)=e4xy i+exz j+x2z k The half of ellipsoid 8x2+y2+8z2=8 To find:  ∫S∫curl(F). dS Use…

Q: Find the circulation of F(x, y, z) = (-ysin z, x sin z, xy cos z + 12) around the circle cut from…

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Q: Use Stokes' Theorem to evaluate F• dr where C is oriented counterclockwise as viewed from above. yzi…

A: The given line integral is ∮CF→·dr→ Where, F→=yzi^+6xzj^+exyk^ C is the circle x2+y2=9 at z=8 The…

Q: Let F = · Use Stokes' Theorem to evaluate curi curlF · d§, where S is the part of the paraboloid z…

A: here i had written stokes theorem and done some basic calculation to find the curve of intersection…

Q: Use Stokes' Theorem to evaluate curl F. dS. F(x, y, z) = exY cos(z)i + x²zj + xyk, S is the…

A: Given F→x,y,z=exycoszi^+x2zj^+xyk^ We have t find the integral ∬ScurlF→⋅dS, where S is the…