x² + y² + 2z² – 2x + 8y – 12z + 35 = 0

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A: The solution is given as

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Q: QI) Evaluate the integral dx dy using polar coordinate 4-y?

A: Polar coordinates are r and thetha Let x = r cos thetha y = r sin thetha So x² + y² = r²

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Q: 4. 5438 + 2468 + 1438 5. 10101112 + 11010112 + 10110102 6. 1213 + 2113 + 2223

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Q: Qi oraw Bhe fmelion y=メッリ

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Q: Identify whether the following improper integral converges or diverges. If it converges, find its…

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Q: 1 |9 4|15 7 I| 8 78 63 5 17 4 | 3 5 |7 6 9 8 5 | 7 |9| 3| |1 4 7 4 5 6. 1 1953 4 2

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Q: 5. Find the radius of convergence for (a) (b) Č (1 +) n2 + 5n + 3i" z" (c) an 2n + 1 n-0

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Q: 2 -1 0 3 0 3 2 -1 If D = and E = find 1 5 6 2 0 7 1 3, G = 1 7 4 0 6 [5 4 3 -7 2 6. , find 2 0 If F…

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Q: 8 Answ 9. k = 1

A: See the answer below.

Q: Q30. R = {(i, i), (i,n), (g, g), (n, n), (n, i), (o, i), (o, o), (0,n)} is a relation on set B =…

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Q: Ql: Find the integration of : (, 1. S cos (3 sin x)cos (4 sin x). cosxdx 2. J Tanx sec*x dx 3. 6…

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Q: Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the…

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Q: Find plane area inside the polar functionr 2 and outside polar function r 2 sin +0) in second…

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Q: Evaluate: (1) (2- 3)* dx 1 dx x+ 5

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Q: 3. Find the area of the surface cut from the nose of the paraboloid x = 1-y²-z² by the yz-plane. Do…

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Q: 11111002– 1100112

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Q: Q3) Evaluate triple integral , dz dy dx.

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Q: 3. (a) Show that the power series * does not converge uniformly for |2| < 1. k=1 (b) Show that the…

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Q: Evaluate fa e2z dz, where C is a circle with (z+1)* centre at origin, |z| = 3.

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Q: [1 2 If D = 2 -1 0 3 and E = , find 0 3 2 -1 [1 5 6 If F = |7 1 3.G 4 0 6] and H = |2 1 7 [4 5 1 [5…

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Q: Q1) Evaluate the integral S dy dx using polar coordinate

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Q: Let S be the set S = {a, b, c, d} and consider the function f : P(S) → Z given by f(X) = |X| Show…

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