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If the curve y = e−x/8 sin⁡(x), x ≥ 0, is rotated about the x-axis, the resulting solid looks like an infinite decreasing string of beads. (a) Find the exact volume of the nth bead. (Use either a table of integrals or a computer algebra system.) (b) Find the total volume of the beads.

If the curve y = e−x/8 sin⁡(x), x ≥ 0, is rotated about the x-axis, the resulting solid looks like an infinite decreasing string of beads. (a) Find the exact volume of the nth bead. (Use either a table of integrals or a computer algebra system.) (b) Find the total volume of the beads.

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If the curve y = e − x / 8 sin ⁡ ( x ) , x ≥ 0 , is rotated about the x -axis, the resulting solid looks like an infinite decreasing string of beads. (a) Find the exact volume of the n th bead. (Use either a table of integrals or a computer algebra system.) ◻ (b) Find the total volume of the beads. ◻

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