Divergence Theorem for more general regions Use the DivergenceTheorem to compute the net outward flux of the following vectorfields across the boundary of the given regions D. F = ⟨z - y, x - z, 2y - x⟩; D is the region between two cubes:{(x, y, z): 1 ≤ | x | ≤ 3, 1 ≤ | y | ≤ 3, 1 ≤ | z | ≤ 3}.

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A: Definition is given below.

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A: This is a question of Mensuration.

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Q: (9) 01 the matrix True False is a product of commutators in GL (5)

A: Commutator in a group GL(5)

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Q: Using Reduction of Order: (D² - 1)y = 2e²x

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A: Diagonalization of the matrix

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A: Here all are true.

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Q: 15. Evaluate Σ n=1 5" +3" 8"

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A: The given relation is, x=a cosθ, y=a sinθ. To Find: A function f such that z=fθ is a plane curve.

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A: v→=-255

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A: Here, we use eigenvalues and eigenvector method to find solution.

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.