z- 2z + 2 or f(z) : z = 2 is a %3D Z-2 simple pole double pole essential singularity removable singularity

Q: 5z³ + 3sin z Integrate. -dz, C the boundary of the square with vertices ±2, ± 2i counterclockwise.…

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Q: Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse + 9 + 49…

A: We have to find the maximum area of reactanlgle .

Q: a) Solve Cauchy problem for the non-homogeneous ovo andhulsel) aogel botning (som equation: Elo…

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Q: (a) Let a > 0. Using the substitution t = In x or otherwise, prove that In a e 4/a² - e 2t dt =a5…

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Q: The plane z =0 separates region 1 (z 0), which is a dielectric material with ɛ, = 4, from region 2…

A: The complete solutions are given below

Q: x2 The quadric surfaces y = x² and 10z = 2x² + 2y² intersect in a curve. Parametrize this curve.…

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Q: Let F(r, y) = (x + 1)7, and let C be the portion of the parabola y = x² that starts at (0,0) and…

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Q: Part II (10%) - True or False. For each statement, select T if the statement is true, or select F if…

A: Given question:-  For each statement, select T if the statement is true, or select F is statement is…

Q: [15] (4) GIVEN: z = f(x, y): = x²y, where (x, y) is subject to the constraint: T: x² + xy + 7y² 27,…

A: This is a quadratic equation in y , so find factorisation of equation (5) .

Q: Change from rectangular to spherical coordinates. (Let p ≥ 0, 0 ≤ 0 ≤ 2π, and 0 ≤ y ≤ ñ.) (a) (0, 3,…

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Q: Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse 36 1 49…

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Q: Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces.…

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Q: the problem. 4) A bridge is built in the shape of a semielliptical arch. It has a span of 106 feet.…

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Q: Integrate the function F(x,y,z) = 6z over the portion of the plane x+y+z=6 that lies above the…

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