Evaluste the line integral using Green's Theorem and check the answer by evaluating it directly. 4y'dx + 4x°dy, where C'is the square with vertices (0, 0), (3, 0), (3, 3), and (0, 3) oriented counterclockwise.

Q: Compute foxy dx + (x³/2+y³/2) dy where C is the square with vertices (0,0), (0,1), (1,1) and (1,0)…

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Q: tegral by transforming to polar coordinates.

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Q: Parameterize the intersection of z = - Vx² + 7y² _and x² + y? + z? = 200

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Q: Evaluate L₂Lova (4-3²) dydx -√4-x² by using polar coordinates.

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Q: Use Green's theorem to calculate §. -y² dx + xy dy where C is the vertex triangle (1,3), (4,0) and…

A: Consider the given integral. I=∮c-y2dx+xydy The green theorem is defined as, ∮cPdx+Qdy=∬R∂Q∂y−∂P∂x…

Q: (1) Let T be the triangle in the xy-plane with vertices at (0,0), (0,2) og (2,2). Calculate the…

A: Let T be the triangle in the xy-plane with vertices at (0,0), (0,2) og (2,2). Calculate the double…

Q: . Write an inline function that returns the value of the function f(t, x) = sin(Vx t) cos²(7x) and…

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Q: w=f(z)=z/(1-z) under transformation IzI=3 Find the image of the circle?

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Q: ntegrate ze²² dz where C from 1 along the axes to i C

A: (.)   Given integral is,    where  along to the axes to .(.) If a function is analytic then integral…

Q: Parametrize y = -x2 + 4 in terms of u and v %3D

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Q: I need a 3d sketch of the equation  Z=x+xsiny+xy

A: z=x+xsiny+xy

Q: d the polar coordinates if (x, y) = (-√3, 1), r≥ 0, -2π < E

A: Given query is to find the polar coordinates.

Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

Q: particle started at A(1,0) circled the origin once  an d returned toA(1,0) .what were the change in…

A: Given: A particle started at A(1,0) circled the origin once  and  returns to A(1,0)

Q: [1 |A = [a1, a2, a3, a4] 2 11 5 0 3 -1 4 0

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Q: Double integrate under the hyperbolic paraboloid z=x2-y2 on the triangular footprint made by the x…

A: In the given question we have to find the double integral of paraboloid z=x2-y2 ovet the triangle…

Q: Find the work done by F (given below) when moving the particle CCW around T once. T is the triangle…

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Q: Find a parametric function for the intersection of r – 3y + 4z = 0 and a? + y² = 9.

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Q: Find the upward flux of F= (14e2,-7e²,-6) through the first-octant part of the triangle a+2y+3z-6.…

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