2) Using Stokes theorem, evaluate pvdr where v= 2y'i– 2x° j+÷k_and the C is the curve of C intersection of the cylinder x² + y° =1 and the plane 2.x+2y+z= 3 oriented so as to have a clockwise direction when viewed from the origin.

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Q: (メ | %3D proof: HoW.

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A: Solution :- As per guidelines . I do first only.

Q: 2. Consider the integralr e (a) Evaluate the integral using the composite Simpson's rule with n = 4…

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Q: 3. Using Gauss - Jordan Elimination a.x + 3y + 2z=2 b.2x + 7y + 7z=-1 c.2x + 5y + 2z= 7

A: Solution:-

Q: III. In a particular very small region, the consumer price index, C, depends on the current valuc of…

A: Given information C = 100 + e-EPF where, C = Consumer Price Index E = Gross Domestic Regional…

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Q: 1. Specify the order of the zero z = 0 of the following functions: a) f(2) = z²(e* – 1), b) f(2) =…

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Q: 5. Let G be a group and n e Z+ be fixed. Show that H = {a" | a € G} is a subgroup of G

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Q: 1. Solve the linear system using Jacobi and Gauss-Seidel Method 2x – y = 2 3y + z = -2 - -x + y – 3z…

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Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + %3D subject to 2² +…

A: Let function F(x,y,z) subject to constrant g(x,y,z)=k Lagrangian L is L(x,y,z,λ)=f(x,y,z)-λ.g(x,y,z)…

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Q: 4. Prove by mathematical induction: For any ne {2,3,...}, 2: i=l i(i+1) n+1 (Special instruction for…

A: Since you have Posted multiple questions, we will solve the first question for you. If you want any…

Q: 3. Let X = {a,b,c} with and 7, = {ø, X,{a,b},{b},{b,c}}and Y={1,2,3} with topology T, =…

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A: Solution :-

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A: