Use Stokes's Theorem to evaluate Jc F. dr. Use a computer algebra system to verify your results. C is oriented counterclockwise as viewed from above. (Give your answer correct to 2 decimal places.) F(x,y,z) = 4xzi + yj + 4xyk S: z = 25 - x2 - y², z z 0

Q: (5) Evaluate F- dr using Stokes' Theorem, where F(1, y, 2) = -y?i + xj +2²k and C is the curve of…

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

A: The vector field is Fx, y, z=x+y2i+y+z2j+z+x2k. The equation of the plane is x+y+z=3. Consider…

Q: • LF. dr. Use a computer algebra system to verify your results. C is oriented counterclockwise as…

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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: Q5. (а) Give F=â,+zy' â, calculate F di as shown in Figure QS(a). C2 (0. 1) (1, 1) (0,0) (1,0)…

A: Stokes's theorem gives us the relation between line and surface integrals. The line integral of a…

Q: 3. Use Stokes' theorem to evaluate the integral F. dr where C is the curve given by the intersection…

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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 F = (-z, x, y²). Find curi Fds, where S is the paraboloid z = x2 + y?, 0 < z< 4. (You can do the…

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Q: Use Stokes' Theorem to evaluate fr. F(x, y, z) = xy i+x6j+z² k where Cis the intersection of the…

A: We can solve this using formula of Stoke theorem

Q: I = y dx + (z — х) dy — ydz, Jc

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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: Use Stokes' Theorem to find the circulation of F = 6yi + 5zj + 5xk around a circle C of radius 7…

A: According to Stoke's Theorem: ∮CF→⋅dr→=∬S(∇→×F→)⋅n^dS here n^ is the vector normal to  the surface S…

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

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

Q: Let S be the cylinder x2 + y? = a?, 0szsh, together with its top, x2 + y? sa?, z=h. Let F =…

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Q: Jse Stokes' theorem to evaluate F. dr where Cis oriented counterclockwise as viewed from F(x, y, z)…

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

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Q: Q (3): Working in cylindrical coordinates with the field: 2p? (z+1) sin2Ø ao , Evaluate both sides…

A: Strokes theorem states that line integral of the function around the surface is equal to surface…

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

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

A: Given, F(x,y,z)=xyi+5zj+6ykwhere c is the curve of intersection of the plane x+z=3 and the cylinder…

Q: c) Use Stokes' theorem to evaluate (zy - u)i– In z j+ (x + z²) k) dr, | where C is the intersection…

A: According To Stokes Theorem∮CF⋅dr=∬S(∇×F)⋅ndS here n is unit normal to the surface.

Q: 18 Verify Stokes' theorem F.dr = (curl F)· dS C S where F = (x² + y – 4, 3xy, 2xz +z?) and S is the…

A: We have

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

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Q: (a) Use Stokes' Theorem to evaluate F. dr where F(x, y, z) = x2yi + x³j + xyk and C is the curve of…

A: Given F→x,y,z=x2yi+13x3j+xykWhere C is the curve of intersection of the hyperbolic paraboloid…

Q: Find the work done by F in moving a particle once counterclockwise around the given curve. F= (x-…

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Q: S,F•dr, and C is the triangle, with Use Stokes Theorem to evaluate where F(x,y; =) = (x+ y² )i+ (vy+…

A: Given: Fx,y,z=(x+y2)i+y+z2j+z+x2k and C is the triangle with vertices 1,0,0 ,0,1,0 and 0,0,1 We know…

Q: Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated…

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

Q: 11. Let F = (-xy + xz²)i + (4xz + y²)j + e² k. Use Stokes' Theorem to calculate fcF. dr, where C is…

A: We have to find∫cF→.dr→.

Q: (ii) Use Stokes' Theorem to evaluate SF · dr, where F(x, y, z) = x²zi+xy²j+z²k and C is the curve of…

A: Given function is F(x,y,z)=x2z i^+xy2 j^ +z2k^ . Plane: x+y+z=1 Cylinder: x2+y2=9 The objective is…

Q: Let F = %3D So Use Stokes' Theorem to evaluate F · dī, where C is the curve of intersection of the…

A: Here, the given function is F=xy,5z,4y To use Stroke's theorem: ∫CF·dr=∫∫S∇×F·N^ dA And,…

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: A closed curve C is the intersection of the cylinder x? +y? = 1 and the plane S : 2y+z = 2. 1)…

A: This question is about application Stokes theorem

Q: 1. Compute ff(V × F) - dS, where S is given by r² + y²+ (z – 1)² = 2 and z > 0, and F(r, Y, z) =…

A: Given: S is given by x2+y2+z-12=2  and z≥0 Fx,y,z=-esinzy,x+sinz,cosx

Q: - Prove Stokes' Theorem by verifying it for F= [y,z,x] and S the paraboloid. %3D te CEY2=(x, y) = 1…

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

A: Given:       Fx,y,z=x+y2i+y+z2j+z+x2k      C is the triangle with vertices 6,0,0,0,6,0,0,0,6…

Q: 3. Suppose F z = 4 – a? – y? above the r- y plane, oriented upward. Calculate fe F dĩ in two ways:…

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

A: According to Stroke's theorem, if S is an open surface bounded by a closed curve C, F→ is a…

Q: Use Stokes's Theorem to evaluate E. dr. In this case, C is oriented counterclockwise as viewed from…

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

A: It is given that F (x, y, z) = xyi+4zj+7yk and the cylinder is x2+y2 = 9.Use the stokes theorem to…

Q: Let S be given by x? + y? + z² = 25 and z > 0, oriented downward. (a) Sketch S and dS. Indicate…

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Q: Use Stokes' Theorem to evaluate fr. F. dr. C F(x, y, z) = 5xyi + 5yzj + 5zxk where is the triangle…

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Q: c) Use Stokes' theorem to evaluate + (zy – y) i – In z j+ (r + x*) k) · dr, where C is the…

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Q: Use Stokes's Theorem to evaluate EF. dr. In this case, C is oriented counterclockwise as viewed from…

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

A: Given:  F(x,y,z)= 7yi+xzj+(x+y)k To Evaluate: Concept: Stoke's Theorem: Curl:

Q: F

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Q: iv) Given F (x, y, z) = -yzį + 2xj + xyzk be a vector function that passes through a surface S of z+…

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Q: 7. Use Stokes Theorem to evaluate I curl F ds F = (x, y, z) = z²i+ 2xj + y2k, S:z = 1- x² - y²,z > 0

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Q: 3. F. da. Donde, F(x, y, z) = (y² - 2², 2² — x², x² - y²) y C es la inter- sección de [0, 1]³…

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Q: 4. Use Stokes' Theorem to evaluate |F• dr when F(x, y, z)= z' i+y° j+xy k. Let S is the part of the…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.