DETAILS SSTCALC6 13.4.030. Use Green's theorem to evaluate the line integral for the curve C given in the figure. [3y dx + 2x dy] y (3,3) 3 2 1 C -2 -1 1 2. (-1, -1) (1,-1)

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Q: |-4 Evaluate the line integral by two methods: (a) directly and (b) using Green's Theorem. I. $. (x…

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Q: 5. Evaluate the integral xdx+ (x+y)dy where C is the curve x 1+y from (2,1) to (2,-1).

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Q: Use the path C given by the parameterization of the unit circle below for these four problems. r (t)…

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Q: 1 dy+ xzdz along the path Evaluate the integral fr'(y+1)dx+ ABCDA shown in figure. y+z +2…

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Q: 22. Find the line integral of f(x, y) = x – y + 3 along the curve r(t) = (cos t)i + (sin t)j, 0 < t…

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Q: 1. Evaluate the given line integral, |(-y, - y) · dR, where C is the lower part of 2 + y? = 1 from…

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Q: 3. Evaluate the line integral f. F· dr where F = (ev+ye")i+(xe"+e")j and C is the parameterized…

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Q: 4. (a) Evaluate the integral (b) Show that 0 1 S [ f*cos(y²) dy da 0 Ste 1 + ex+y dx dy 4.

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Q: Q.1) (a) Evalute (x² – y²)dx + 2xydy, along the circular arc C by x = cost, y: sint (0 <t <). (b)…

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A: A detailed solution is given in steps 2 and 3.

Q: Use the differential dy to approximate 4ywhen x changes as indicated. y = V3x – 2; from x = 2 to x =…

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Q: 7. Evaluate the following integral where the curve C is given by r(t) = te-i+2sin(rt/2)j + (t° +…

A: The solution are next step

Q: E Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [ 4³…

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Q: Evaluate the line integral for the given curve C. S-ds, C: r(t)= (t',t*),1<t<2 cy ||

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Q: 1. Evaluate the line integral -ds y+z where C is the curve r= y², y + z = 4 from (4. 2, 2) to (0,0,…

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Q: - Use the information to find and compare Ay and dy. Function x-Value Differential of x y = x+ x = 2…

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Q: DETAILS HHCALC6 18.3.017. Use the Fundamental Theorem of Line Integrals to calculate F. dr exactly F…

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Q: (1,0) (1,0) 1 = | (x² – y²) dx – 2 x y dy + i - 2 x y dx + (x² – y²) dy (0,1) (0,1) Calculate the…

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Q: 17. DETAILS SCALCET8M 16.4.010. Use Green's Theorem to evaluate the line integral along the given…

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Q: 3.) Calculate the curve integral (1 – x² + y²) dx + (1 + 2² – y²) dy. Here C consists of the curves…

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Q: 02:- b. find the total differential dz. z = x sin xy + x³

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Q: 24. DETAILS SCALCET8M 16.4.005. Use Green's Theorem to evaluate the line integral along the given…

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Q: Question 14 Not yet answered Marked out of 3.00 P.Flag question Use Green's Theorem to evaluate the…

A: Given that ∫(y+ex)dx+∫(3x+cosy)dy where C is the triangle with vertices (0,0),(0,2),(2,2).