Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 9x - 2y + 8z + 20 = 0 Find the center and radius.

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Q: Prove that: (A+B)•(B+C)x(C+A) =2A•BxC

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A: U→=exyax+sin(xy)ay+cos2(xz)az

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Q: | Example 11.4. Solve the Laplace equation ux + y = 0 given that xx 0 11.1 17 19.7 18.6 0 21.9 0 21…

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Q: = 238 and the 93rd term is 539. S

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Q: Which of the following sequeces in GP will have common ratio 3, where n is an Integer? a) gn = 2n2…

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Q: 1. Let S be the solid of integration of the ff. integral Q. Sketch S and label its boundaries. Q LLL…

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A: Given,Q =∫02∫-4-y20∫x2+y28-x2-y2ydzdxdy 0≤y≤2 ,-4-y2 ≤x≤0 ,and x2+y2≤z≤8-x2-y2

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Q: •5. if A₁: A Cosa, A2= A COSB A3=A cos & and A = Aj + A ₂ √ + Azk then cosa + cosp + (0 5² 8 = 1

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Q: Evaluate: (A×B)•(C×D) + (B×C) • (A×D)+(C×A) • (B×D) show complete solutions

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Q: Example 10.11. Using modified Euler's method, find y(0.2) and y(0.4) given y = y + e*, y(0) = 0.

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Q: Example 10.33. Applying Euler's method to the equation dy/dx = hy, given y(x) = yo determine its…

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Q: Consider the following. B = {(0, -1, -2), (4, 1, 2), (12, 3, 7)}, B' = {(−3, −2, −6), (2, 1, 3), (2,…

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Q: find The linear transformation T: C² C²³² 1+i which matrix i -i M₁ = -2 1 −1+2i with regard to The…

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Q: 0,−1), (2,1,0), (3,1,-1), (1,1,1)} spans. {(c²,0,1), (0, c, 0), (1,2,1)} is a linearly R³. y, z) €…

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