Figure 3 shows a sketch of part of the curve with equation y = 1 -...

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Figure 3 shows a sketch of part of the curve with equation y = 1 - 2 cos x, where x is measured in radians. The curve crosses the x-axis at the point A and at the point B. (a) Find, in terms of 7, the x coordinate of the point A and the x coordinate of the point B. (3) The finite region S enclosed by the curve and the x-axis is shown shaded in Figure 3. The region S is rotated through 27 radians about the x-axis. (b) Find, by integration, the exact value of the volume of the solid generated. (6) Figure 3 shows a sketch of part of the curve with equation y = 1 - 2 cos x, where x is measured in radians. The curve crosses the x-axis at the point A and at the point B. (a) Find, in terms of 7, the x coordinate of the point A and the x coordinate of the point B. (3) The finite region S enclosed by the curve and the x-axis is shown shaded in Figure 3. The region S is rotated through 27 radians about the x-axis. (b) Find, by integration, the exact value of the volume of the solid generated. (6)

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