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Find the mass and center of mass of a wire in the shape of the helix x = t, y = cost, z = sint, 0≤ t ≤ 2π if the density at any point is equal to the square of the distance from the origin. (Hint: square of distance is (x² + y² + z²))

Find the mass and center of mass of a wire in the shape of the helix x = t, y = cost, z = sint, 0≤ t ≤ 2π if the density at any point is equal to the square of the distance from the origin. (Hint: square of distance is (x² + y² + z²))

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4. Find the mass and center of mass of a wire in the shape of the helix x = t, y = cost, z = sint, 0≤ t ≤ 2π if the density at any point is equal to the square of the distance from the origin. (Hint: square of distance is (x² + y² + z²))
Transcribed Image Text:4. Find the mass and center of mass of a wire in the shape of the helix x = t, y = cost, z = sint, 0≤ t ≤ 2π if the density at any point is equal to the square of the distance from the origin. (Hint: square of distance is (x² + y² + z²))
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