Evaluate the double integral I = || y'dzdy where T is a triangle with vertices (-2, 0), (0,4), (2,0). Enter the exact (not approximate) answer here I2 =

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A: To estimate the best bounds of the integral.

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Q: Verify Green's Theorem by evaluating both integrals Lr dx + x* dy = / dA ду x² dy ax for the given…

A: In this question we verify Green's Theorem                 i.e, verify integral  ∫C y2 dx +x2 dy =…

Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral…

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Q: 2. Evaluate the double integral J r sinco) cosco)dr de

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Q: 1- 2- 3- 3-Evaluate the integrals in Exercises: [ sect? (x - 1) dx sech² s sech Vt tanh Vt dt Vt…

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Q: 4. Use Green's Theorem to evaluate the line integral: f ye dx + x*y² dy, where C is the from (-2,0)…

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Q: .2 Evaluate the line integral xy dx + x-dy, where C is the path going counterclockwise around the…

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral so…

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Q: Use symmetry to evaluate the double integral. | x' dA, R = [-4, 4] × [0, 5] (Give your answer as a…

A: On a rectangular region R=a,b×c,d, the double integral for a function fx,y is as follows:…

Q: Use symmetry to evaluate the double integral. x' dA, R = [-4, 4] × [0, 5]

A: Replace dA by dxdy x is from -4 to 4 y is from 0 to 5

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Q: 5/ change the cartesian integral in an equvalant polor integral then evalute 2x-x² the polor…

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Q: (1,0) (1,0) 1= (x2- y?) dx + 2x y dy + i- 2xy dx + (x? - y?) dy %3D (0,1) (0,1) Calculate the above…

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Q: d) Use line integral method to evaluate F(x, y)• dř ,where R 1 F(x, y) = (3x y°i + 4xy² j) and M, N,…

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Q: integrals in the order dædzdy 11 x2 1 | s(e;y, z)dydzdr

A: Please refer to the image below