Use Green's Theorem to evaluate the following line integral. f dy-g đx, where (f.g) = (x²,12y²) and C is the upper half of the unit cirde and the line segment - 1sxs1 oriented clockwise. (Type an exact answer, using x as needed.)

Q: Evaluate the line integral, where C is the given curve. xy dx + (x − y) dy, where C consists of…

A: In the above line integral there are two segments which needto be seperated. First (0,0) to (1,0) so…

Q: evaluate the line integral along the curve C. Scv+z) d s, C is the straight-line segment x = 0, y =…

A: To Evaluate∫C(y+z)dswhere C is straight line segmentx=0  ----(i)y=3-t -----(ii)z=t…

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Q: Use Green's Theorem to evaluate the following line integral. Of dy -g dx, where (f,g) = (7x,11y) and…

A: Use Green's Theorem to evaluate the following line integral.

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Q: Use Green's Theorem to evaluate the line integral below. | (2 - v?) dx + 5xy dy C: r = 1 + cos(0), o…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 5…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 5…

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Q: Evaluate the line integral, where C is the given curve C is the line segment from from (0, 0, 0) to…

A: Here   , ds = dx dy dx  Now we  will evaluate the integral

Q: Use Green's Theorem to evaluate the line integral of F = (xº, 2x') around the boundary of the…

A: Given Fx,y=x9 i+2x j Px,y=x9, Qx,y=2x ∂P∂y=0, ∂Q∂x=2 Now ∫Cx9dx+2xdy=∫∫R∂Q∂x-∂P∂ydxdy=∫∫R2dydx

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. | xy?…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. O…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. O 5…

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Q: Evaluate the line integral by the two following methods. dx + x?y3 dy C is counterclockwise around…

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Q: Consider the following line integral along the given positively oriented curve. | yeš dx + 2ex dy,…

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. 4y dx -…

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Q: Let R:x? sys. be the closed region having boundary C with counter-clockwise orientation. F= [x…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

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Q: Evaluate the line integral by the two following methods. y) dx + (x + y) dy C is counterclockwise…

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Q: Evaluate the line integral by the two following methods. dx + x2 dy Cis counterclockwise around the…

A: The solution is given in the next steps.

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A: From the given data, the surface area of the surface S is parametrized by

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A: The formula for the midpoint Reimann sum to calculate the integral is…

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A: Introduction :

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Q: Given that C is the curve r(t) = (cos t, t), for /2 sts T, convert the line integral | ds to an…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

A: Here we have to use green's theorem.

Q: Evaluate the line integral by the two following methods. dx + x2 Cis counterclockwise around the…

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Q: Use Green's Theorem to evaluate the following line integral. Of dy -g dx, where (fg) = (7x2,8y?) and…

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Q: Use Green's Theorem to evaluate the following line integral. Of dy -g dx, where (f,9) = (7x?,8y) and…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 3…

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Q: evaluate the Indi chorces Jof u blv (use c for the donstant of ntegrato integral Using entegration…

A: Let u and dv

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 4 y…

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Q: Calculate by using integration by substitution, Sec V11 tan15 da What was yoOur substitution? What…

A: Given that ∫sec2x11tan15x11dx find out the integral by substitution

Q: Evaluate the line integral, where C is the giv z² dx + x² dy + y² dz, C is the C

A: See the details solution in below

Q: Question attached thanks!

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. | 6y dx…

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Q: Use Green's Theorem to evaluate the following line integral. Of dy-g dx, where (f,g) = (8x,5y) and C…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $…

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Q: Evaluate the line integral by two methods: (a) directly and (b) using Green's Theorem. C is the…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 5…

A: We have to evaluate the line integral using Green's theorem and check the answer by evaluating it…

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 2…

A: Given problem:-

Q: c2π rieit 0 20 + reit dt

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Q: Evaluate the line integral by the two following methods. f (x - y) dx + (x + y) dy C is…

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Q: Convert the line integral to an ordinary integral with respect to the parameter and evaluate it.…

A: here we will convert the whole integral into t

Q: Evaluate the line integral, where C is the given curve. z? dx + x2 dy + y² dz, C is the line segment…

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Q: Use Green's Theorem to evaluate the following line integral. Of dy -g dx, where (f.g) = (7x²,8y?)…

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Q: Evaluate the line integral, where C is the given curve. dy, C is the arc of the curve y = Vx from…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. O 4…

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Q: Evaluate the line integral, where C is the given curve ʃc (x+9y)dx +x2dy, where C consists of line…

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