x(t) = − 6 + 6t Find a plane through the point (8,5,2) and orthogonal to the line y(t) = -5 +3t z(t) = 7+ 4t

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Q: Зл 52 Evaluate the iterated integral J xcos y dy dx 3 л

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Q: Convert the Cartesian coordinate (-6,-5) to polar coordinates, 0 ≤ 0 0 r = Enter exact value. 0 = >…

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Q: Let a = (-5,3, 2) and 6 = (2, 1, -3). Find the angle between the vector (in radians)

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Q: Let M be a plane with the following properties: • M contains the point with coordinates (1,1,0) 2 •…

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Q: Find the point at which the line x(t) y(t) z(t) = = = -8 - 2t 3+ t 7+ 5t intersects the xy plane.

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Q: 4. By method of undetermined coefficients, solve: y(4) - y(3) - y" - y - 2y = 8x³.

A: We have to solve differential equation y(4)-y(3)-y''-y'-2y=8x5by undertermined coefficients

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Q: area under curve Integral calculus

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Q: Determine for y = cos-¹ (2x³). dy dx Answer dx ||

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Q: Q11 Compute the following limits: (a) lim (5-2x - x²) X--1 (b) lim x²+x-1 x-2- 2x+1 x²-2x x-2x²-3x+2…

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