Eind the line integrals ý (4'da - idy) about the Thriangle (0.3), (-4,0) whese verlics (1,0), arre

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

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Q: Evaluate the line integral -ydx + xdy along the curve C: y? = Зх from (3,3) to (0,0). NOTE: Enter…

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Q: Compute the double integral R ye®Y dA where Ris the square -1 < x < 1, 0 < y< 2.

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Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where U + dy

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. + dy

A: Line integral

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

A: To evaluate the given line integral along the given positively oriented curve. ∫Cyexdx+2exdy Where C…

Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 s ts 1. %3D (y – x) dx…

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Q: Evaluate the line integral, where C is the given curve. | xyevz dy, C: x = 2t, y = 4t2, z = 213,…

A: Consider Applying derivative with respect to t,

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

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Q: Evaluate the line integral, where Cis the given space curve. xevz ds, C is the line segment from (0,…

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Q: [[(2x + y²) da + 2xy dy], where C is the line segment from (-1,0) to (1, 2) Evaluate in two…

A: The line integral ∫CMdx+Ndy involves the integration over a specific path. In this case, the line…

Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 sts 1. dy

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Q: Use Green's Theorem to compute the line integral | ry? dx – x² dy, -

A: Here we are going to use Greens theorem to find the line integral. Since, to compute the integral…

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

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Q: Evaluate the line integral -ydx+ xdy along the curve C :y = 12x from (12, 12) to (0,0). NOTE: Enter…

A: In this question , we can find the given line integral.

Q: Evaluate the line integral along the path C given by x = 4t, y = 8t, where 0 st< 1. + 3у?) dy

A: We need to evaluate the following line integral ∫Cx+3y2dy Where, C is defined as x = 4t, y = 8t ;…

Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 30x from (30, 30) to (0,0). NOTE:…

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Q: Use the Fundamental Theorem of Line Integrals to calculate F.dr exactly. F = (x + 2) í + (2y + 3)j…

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

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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: Q2: Evaluate the Line Integral using the Proper Method/Theorem for F = [y, x', z+x] around the…

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

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Q: Please solve in steps. And highlight main equations.

A: The given curve is: σ(t)=sin(t) cos(t), 3t2, et

Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 sts 1. + 3у?) dy

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ t ≤ 1. [(x + 3x²) dy

A: To evaluate: ∫C(x+3y2)dy...(1) where C is given by x=2t, y=4t⇒dy=4dt and 0≤t≤1

Q: Evaluate the line integral |-ydx + xdy along the curve C : y² = 24x from (24, 24) to (0, 0).

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Q: compute the line integral fc f (x, y) ds for th,e given function and path or curve. (a) f (x, y) =…

A: To compute the line integral  ∫Cfx,y ds where, fx,y=xy and the path of curve is rt= t,  2t-1…

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0<ts 1. (y – x) dx +…

A: Just I have used the given parametric representation of the curve C to change the given line…

Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 s ts 1. (y – x) dx +…

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Q: S. (3x² – 3yz + 2xz)dx + (3y² – 3xz + z?)dy + (3z² – 3xy + x² + 2yz)dz

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Q: Evaluate the line integral, where Cis the given curve. xyz? ds, C is the line segment from (-1, 4,…

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Q: Evaluate the line integral ∫(AB) xdx+ydy+zdz using the fact that the integrand is a perfect…

A: Here we find ∫(AB) xdx+ydy+zdz,   by using the fact that the integrand is a perfect differential. A…

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

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Q: Evaluate the line integral of the function p(x.y)=y-x,over the straight line Joining the two points…

A: Function p(x, y ) = y - x   points ( 4, 0 ) and ( 0, 4 )  To Evaluate: Integral  of the given…

Q: Evaluate the double integral where D is the triangle bounded by the x-axis, y-axis and the line y =…

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Q: dz 2) Evaluate the line integral where c is a unit circle (1–z)3’

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. | 6y3…

A: given circle x2+y2=4

Q: Evaluate the line integral -ydx + dy along the curve C: y = 30x from (30, 30) to (0,0). %3D NOTE:…

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Q: compute the line integral of the function f(x,y,z) = x^2 +3y along the circle x^2 +y^2=4 from (0,0)…

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. 7y dx –…

A: To evaluate the integral ∫C7y3dx-7x3dy, identify the values of P, Q, then find its partial…

Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [² yex…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where 0 sts 1. 3у?) dy

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 stsi. (y - x) dx +…

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Q: Evaluate the line integral, where C is the given curve. xeV2 ds, C is the line segment from (0, 0,…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. X + dy

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Q: Evaluate the line integral along the curve C. S-Tabe − ydx + xdy, C: y² = 3x from (3,3) to (0,0) O O…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. Lv - x) dx +…

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. 2y3 dx…

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Q: Evaluate the integral. inegral y / (y+4 ) (2y-1) dy

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Q: Evaluate the line integral -ydx + xdy along the curve C : y = 3x from (3, 3) to (0,0). NOTE: Enter…

A: We have to find the line integral ∫C-ydx+xdy along the curve C: y2=3x from (3,3) to (0,0)