Evaluate y'dx+ xydy where C is the boundary of the region bounded by y = Vx.y 0, and x 9.

Q: (2y – x*)dx + (4x + y²)dy where C is the boundary of the region in first quadrant bounded by x2 – 2x…

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Q: Evaluate ffysin(xy)dxdy น over the region bounded by xy = 1, xy = 4, y = 1, and y = 4 using x == , y…

A: We have to find the area using double integration.

Q: Use Green’s Theorem to evaluate the line integral  (x^2 − 2xy) dx + (x^2 y + 3) dy where C is the…

A: The given problem is to evaluate the given integral in the contour using the green's theorem in the…

Q: Sketch the region R of integration and switch the order of integration. f(x, y) dx dy 3.

A: Answer and explanation is given below...

Q: Evaluate (2r+y) dV _ where V is closed region bounded by the z= 4>x and the planes x = 0, y = 0 and…

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Q: Sketch the region of integration. rIn(x) f(x, y) dy dx

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Q: Sketch the region of intearotion and evaluote. the integral. x2+y2e Vxz+ya dx dy 1n5 -n5)- y2

A: Consider the provided integral,

Q: Sketch the region of integration and change the order of integration. (x, y) dy dx f(x, y) dx dy

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Q: Express the region as a union of Type I or Type II regions and evaluate the integral ffy dx dy. YA 1…

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Q: Calculate f 4y dydx, Where R is a region bounded by y=x* and y= - 3x2 - 2 R

A: Solution has been attached as an image

Q: Evaluate || 5x cos y'dxdy where S is the region bounded by y = 2 and 1 x and the y-axis. 4 y =

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Q: Find the area of the region bounded by y = e* – 1,y = lnx,y = 0 and y = 2, first integrate with…

A: Step 1 :              find area bounded by  y=ex-1…

Q: Find the region bounded by the curves y = x and y = x² using a dx integral.

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Q: Compute volume under the surface x+ 2y2 above the region described by 0sxs1 and 0sysx², shown below.…

A: Calculate the volume: V=∫x=01∫y=0x2∫z=0x+2y2dzdydx   =∫x=01∫y=0x2x+2y2dydx   =∫x=01x3+23x23dx…

Q: f(x, y) dx dy -2 Jo

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Q: Integrate f(x, y) = x over the region D bounded by y = x and y = 6x + 7. x dA

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Q: Sketch the region whose area is represented by the definite integral. dx y y y 6 1.2 1.2 1.0 1.0 0.8…

A: Here we have to find out the area graphically represented by the definite integral. ∫05x5dx

Q: Sketch the region R whose area is given by the iterated integral. 16 – y2 dx dy 3 2- 2 6 8. 10 12 14…

A: option B

Q: Use Green's Theorem to evaluate the line integral. dx + ху dy C: boundary of the region lying…

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Q: Sketch the region R of integration and switch the order of integration. f(x, y) dy dx

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Q: Consider the region enclosed by x computed two different ways. (a) Integrating with respect to x: |…

A: Solve equation of line and curve to find the limits.

Q: Use Green's Theorem to evaluate the line integral. | y2 dx + xy dy C: boundary of the region lying…

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Q: 3. Use Green's Theorem to evaluate (e3x +y²)dx + (sin y – x²)dy where C is the boundary of the…

A: Green's theorem

Q: Verify Green's theorem in plane for (x* - 2xy)dx + (x°y+ 3)dy where c is the boundary of the region…

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Q: Find area of the region bounded by x2 + y2 = 32, 6y = -7x and 15y = 4x where y > 0. Leave your…

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Q: Sketch the region R bounded below by the curve y = x², on the left by the line x = 1 and above by…

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Q: Calculate f 4y dydx, Where R is a region bounded by y=x² and y=-3x-2 R

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Q: Q3 Verify Green's theorem in plane for (x² - 2xy) dx + (x²y + 3)dy where c is the boundary of the…

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Q: Evaluate (x+ y) dx +xy dy, where Cis the positively-oriented boundary of the region bounded by the…

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Q: Sketch the region of integration. In(x) F(x, y) dy dx

A: The given integration is ∫16∫0lnxfx,y dy dx. Region of integration is x,y| 1≤x≤6  and  0≤y≤lnx.…

Q: Use Green's Theorem to evaluate the line integral. y2 dx + ху dy C: boundary of the region lying…

A: Use green s theorem

Q: Use Green's Theorem to evaluate the line integral. y² dx + xy C: boundary of the region lying…

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Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

A: Given problem:-

Q: Evaluate  DOUBLE integral xy dA, where D is the region bounded by the line  y = x − 1 and the…

A: Given: The bounded regions are, Find the points where the bounded regions intersect. Substitute…

Q: Use Green's Theorem to evaluate the line integral. y2 dx + xy dy C: boundary of the region lying…

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Q: Evaluate the double integral Jl, x dx dy where the region R is bounded by: 3 y = 4x – 3, y =x +, y =…

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Q: Sketch the bounded region enclosed by y = e3, y = e't and x ,3x 7x =1. Decide whether to integrate…

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Q: Calculate f 4y dydx, Where R is a region bounded by y=x* and y= - 3x2 - 2

A: Given integral is ∬R4ydydx, where R is a region bounded by the curve y=x2 and y=−3x2−2. We have to…

Q: ) Evaluate Sxy dx dy R is the region bounded by x =0, x =2, y = x

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Q: xyz dV where E is the region bounded by = y², x² = y, z = xy y z = 0.

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Q: Verify Green's theorem in the plane for S(3x² -8y )dx +(4y-6xy)dy, Where C is the boundary of the…

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Q: Evaluate 2x dV Over the region E bounded by the parabolic cylinders y = x2 and x = y² and the planes…

A: Consider the parabolic cylinders y=x2 and x=y2 and the planes z=0 and z=x+y

Q: SR(xy)dA where R is the region bounded by x=0, y=2x+1 and y=-2x+9.

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Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: First I have changed the line integral into double integral with the help of Green's theorem and…

Q: Sketch the region enclosed by the given curves and decide whether to integrate with respect to x or…

A: This question can be solved using application of integrals to find area under curves.

Q: Evaluate the line integral [2y'dx+(x* +6y°x)dy where C is the boundary of the R region shown below…

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Q: Evaluate 2r+y) dV _where V is closed region bounded by the cylinder z=4x and the planes x = 0, y = 0…

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Q: Find area of the region bounded by x2 + y2 = 6?, 5y = -7x and 2ly = %3D 11x where y > 0. Leave your…

A: The region bounded by x2+y2=62, 5y=-7x & 21y=11x where y ≥0

Q: (4-x² f (x, y, z) dy dz dx

A: Please see the below picture for detailed solution.

Q: Sketch the region of integration. '7 [In(x) f(x, у) dy dx y

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