Using Stokes theorem, evaluate § F.dr where C is oriented counterclockwise C from above. Given that F(x, y, z) = (3x + z, 4xy², z) 2 Over the surface S S: z = 1 - x² - y², z≥0 zz

Q: Consider the surface defined by the following function: x? + y? 2 = Find the points on the given…

A: The equation of the surface is given as, ∅=x2+y2-z The gradient vector at a surface z is given by,…

Q: Find VX A for the vector A given by A = -yax + x ay Evaluate Ad A de around the curve x² + y²2 = 1…

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Q: Let ♬ =. Use Stokes' Theorem to evaluate So F. dr, where C is the curve of intersection of the…

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Q: b) Use Gauss theorem to evaluate F.ndS, where F(r, y, 2) = (2x²y² + In z) i – xy³ j – tanh(a² + y³)…

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

A: Here use the stokes theorem to find the integral of the function.  And given that the function…

Q: Let F = (y,3z + x,3y² ). Use Stokes' Theorem to find a plane with the equation ax + by + cz = 0…

A: step:- 1 Stock's Theorem:- ∮CF.dr=∫∫SF.n ds=∫∫DF.(rx×ry) dA; D is disk. Step:- 2 Given that   F=y2,…

Q: Let F = . Use Stokes' Theorem to evaluate F. dr, where C is the triangle with vertices (7,0,0),…

A: Given that, F→=5x+y2, 2y+z2, 8z+x2 And vertices of the triangle are, 7,0,0, 0,7,0, 0,0,7. To find…

Q: F(x, y, z) = yzi + 8xzj + exyk, C is the circle x² + y² = 1, z = 4.

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Q: Let F = Use Stokes' Theorem to evaluate с شرح = F. dr, where C is the curve of intersection of the…

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Q: Evaluate F-di where F(x, y, z)=1li +(x+yz)j+(xy- Vz 3x+2y+z=6 in the first octant. C is a positively…

A: Here we have to evaluate ∫CF→·dr→=? Where F→(x,y,z)=i^+(x+yz)j^+(xy-z)k^ and C is the boundary of…

Q: Let F = (z, 0, y) and let S be the oriented surface parametrized by Þ(u, v) = (u² – v, u, v²) for 0…

A: From the given information:

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

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