# Find the area of the region

6. Sketch the region enclosed by the given curves. y = cos(x), y = 2 β cos(x), 0 β€ x β€ 2π Find the area of the region. 7. Sketch the region enclosed by the given curves. y = 4 cos(x), y = 4 β 4 cos(x), 0 β€ x β€ π Find the area of the region. 8. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y =4/x, x=5, x=10, y=0 about the x-axis Sketch the region, 9. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y= xβ1 ,y = 0, x = 4; about the x-axis Sketch the region. Sketch the solid and a typical disk or washer 10.

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