(a) Find the length of a wire in the shape of the helix r(t) = 2...
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(a) Find the length of a wire in the shape of the helix r(t) = 2 sint, y = 2 cost, z=3t, 0≤t≤ 2π then deduce its mass if density is a constant k. (b) Find the mass of a wire in the shape of the helix x(t)=t, y = cost, z = sint, 0≤t≤ 2π if the density at any point is equal to the square of its distance from the origin. (a) Find the length of a wire in the shape of the helix r(t) = 2 sint, y = 2 cost, z=3t, 0≤t≤ 2π then deduce its mass if density is a constant k. (b) Find the mass of a wire in the shape of the helix x(t)=t, y = cost, z = sint, 0≤t≤ 2π if the density at any point is equal to the square of its distance from the origin.
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a The helix can be parameterized by the vector function rt 2sint 2cost 3t The speed of the wire is t... View the full answer
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