cmpute the flux integral &F.nas where F=-4x yù+ 4 and CW +y2-1 oriented anti. the circle x? dock wLse.

Q: Use Green's Theorem to evaluate the integral o (3x - y)dx + 4xdy where C is the circle x +y? = 1…

A: Consider the given integral. ∮C3x2-ydx+4xdy Here C is the circle x2+y2=1 The Green's theorem can be…

Q: Set up, but do not evaluate, an integral for the length of the curve. y = 6 cos x, Osxs 27 dx

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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.

Q: Use Green's Theorem to evaluate the line integral v+e*) dx + (6x+cosy) dy where C is the triangle…

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Q: Evaluate the double integral I2 = || v?dzdy T where T is a triangle with vertices (-2, 0), (0, 3),…

A: Here we have to evaluate the given double integral where T is a triangle with vertices…

Q: 2 | – j|² dz Z + 1 C

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

A: We have,

Q: Evaluate the integral x² dx + y? dy where C consists of the arc of the circle x2 + y² = 4 from (2,0)…

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Q: Use Green's Theorem to evaluate the line integral. (a) | e2a+y dx +e¬Y dy, where C'is the triangle…

A: In the question we have to evaluate integral. NOTE - As per Bartleby's policy we can not solve…

Q: Apply Green's Theorem to evaluate the integral. /+ x)dx + (y + 9x)dy C: The circle (x - 5)2 + (y –…

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Q: Use a double integral and Green's Theorem to find $C(x-y)dx+xydy,ke ( - ) dz + ry dy where C C is…

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Q: Let Yzo.r parametrise a circle with centre zo and radius r (positive orientation). Evaluate the…

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Q: Use green's theorem to calculate the integral Fdr, F(r, y) = (e* + x²y , e³ – ry² + sen(3) + 2)…

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Q: Apply Green's Theorem to evaluate the integral. P(7y + x)dx + (y + 9x)dy C: The circle (x- 1)² + (y…

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Q: O Line integral ) K+Z)dx+Cx-y)dy+ xdz C is ellips de fined by +* =/ and Z=1 aus. 67 Hint:-use the…

A: Given the given line integrals are (1) ∫Cx+zdx+x-ydy+xdz C is an ellipse x24+y29=1 z=1 (2)…

Q: around

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Q: 5. Let R be the region in the first quadrant within the circle z² + y? = 4, outside the circle (z –…

A: Region is in the first quadrant :-    Hence, region the region between these circles in above…

Q: How do I evaluate this?

A: Let C be the quarter circle centered at (2,0) that goes from (1,0) to (2,1).

Q: Set up, but do not evaluate, an integral for the length of the curve. y = xe, osxS 8 dx Jo

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Q: Calculate the integral over a closed path C as given below using Green's theorem. • y?dx + 3xydy The…

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Q: Use Greens Theorem to evalua te the line integral Sr -93 dx +x*dy. where C is the positively onented…

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Q: Verify Green's Theorem by evaluating both integrals y? dx + x² dy Ne dA ду ax for the given path. C:…

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Q: Set up, but do not evaluate, an integral for the length of the curve. y - xe, osxs2 dx

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Q: 17. Evaluate the integral: S, 9x? – 6dx. 18.Determine the center of the circle x² +y² = 25. %3D

A: (17)  Given that I=∫-159x2-6 dx It is known that ∫xndx=xn+1n+1 So, I=9x33-6x-15 =3x3-6x-15 Now we…

Q: Verify Green's Theorem by evaluating both integrals |y? dx + x2 dA ду dy ax for the given path. C:…

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Q: 338. [T] Use a CAS and Stokes' theorem to approximate line integral /[(1 + ykdx + (1+ z)xdy + (1 +…

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Q: Set up, but do not evaluate, an integral for the length of the curve. y = xe, OsxS 8 osxs 8 dx

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Q: (c) Consider the double integral || xy dA where D is bounded by the x-axis and the upper half…

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Q: Apply Green's Theorem to evaluate the integral. fror (13y + x)dx + (y + 9x)dy C: The circle (x- 5)?…

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Q: Apply Green's Theorem to evaluate the integral. (3y + x) dx + (y + 5x)dy C: The circle (x - 2)² +…

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Q: Use Green's Theorem to evaluate the line integral Lv+e) dx + (3x+cosy) dy where C is the triangle…

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Q: P [(In x – 2y)dx + (2x + e')dy]

A: Here we have to find the integration by using Greens theorem. Green's theorem states that:…

Q: 3. Evaluate the integral cosh ™z dz, z(z? + 1) Izl=2 where the circle |z| = 2 is described in the…

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Q: Solve Laplace's equation inside a rectangle 0srS L, 0SYS H, with the following boundary conditions:…

A: Consider the solution as ux,y=XxYy. Then, the Laplace equation becomes Yy∂2Xx∂x2+Xx∂2Yy∂y2=0. Divide…

Q: Find the diih of y integral tanar 230 e dn dy a) | shso b) c) O sysl-z 1-2 d) Nove of theoe

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Q: Evaluate the integral [yda+zdy – rdz along the helix C given by - X = = cos πt, y = sin ít, z = t…

A: Line integration of the vector valued fumction

Q: Use Cauchy's Integral formula to evaluate the integral: Sa (z+1) e2z dz where C is a circle |z| = 3.…

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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: f.(r² + y) dx + (4x – cos(y)) dy where C is the boundary of the square…

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Q: Apply Green's Theorem to evaluate the integral. $(3y + x)dx + (y + 5x)dy C: The circle (x - 3)² +…

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Q: İki noktalı Gauss kareleme yöntemini kullanarak 2 8x? -dx integraline yaklaşık değer bulunuz. 1+16x4…

A: We have to Evaluate the integral ∫-12128x21+16x4dx by using two-point Gaussian quadrature rule. As…

Q: Evaluate the line integral Levis where C is the half circle x² + y² = 1, y ≥ 0. x² + y² ds

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Q: Q: A) Show Ih at W= a b qbceIR] is a Sub SP ceaf 2x2 ma mces SPace

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Evaluate the line integral (y dr+yrdy) taken in clockwise sense along the hexagon whose vertices are…

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Q: 8K Use Green theorem to eva luate the . line integral : 3. 3 where c is ニ thecircle

A: Given the line integral

Q: Verify Green's Theorem by using a computer algebra system to evaluate both the line integral and the…

A: According to question, F = P i + Q j,   P(x, y) = 2x,   Q (x, y) = x3y6 .

Q: 3. (a) Use Green's theorem to evaluate the line integral 4 y* dx – a* dy where C is the positively…

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Q: Use Green's Theorem to evaluate the line integral along the gi | 4y3 dx - 4x³ dy Cis the circle x2 +…

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

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