Section 6.3 Quick Quiz If a region in the first quadrant is revolved about the the disk or washer method 1. R x-axis, (a) requires integrating with respect to (b) requires integrating with respect to x. y. (c) cannot be applied. If a region in the quadrant is revolved about the the disk or washer method 2. R y-axis, (a) cannot be applied. (b) requires integrating with respect to x. (c) requires integrating with respect to y. 3. The region bounded by the line = 2 - and the two axes is revolved about the The volume of the y x x-axis. solid generated is (b) (c) π π π 4. The region in the first quadrant bounded by = and = is revolved about the The volume of y x y x x-axis. the solid generated is (b) (c) π π π 5. The region in the first quadrant bounded by the curve = 16 - and the coordinate axes is revolved about x y2 the y-axis. The volume of the solid generated is (b) (c) π π π 6. The region bounded by the curves = sec and = 2 is revolved about the The volume of the solid y x y x-axis. generated is (a) (b) (c) 2π π π Quick Quiz 6.3 Answers: 1a 2c 3c 4b 5a 6b
Section 6.3 Quick Quiz 1. If a region R in the first quadrant is revolved about the x-axis, the disk or washer method (a) requires integrating with respect to x. (b) requires integrating with respect to y. (c) cannot be applied. 2. If a region R in the quadrant is revolved about the y-axis, the disk or washer method (a) cannot be applied. (b) requires integrating with respect to x. (c) requires integrating with respect to y. 3. The region bounded by the line y = 2 - x and the two axes is revolved about the x-axis. The volume of the solid generated is π (b) π (c) π 4. The region in the first quadrant bounded by y = x and y = x is revolved about the x-axis. The volume of the solid generated is π (b) π (c) π 5. The region in the first quadrant bounded by the curve x = 16 - y2 and the coordinate axes is revolved about the y-axis. The volume of the solid generated is π (b) π (c) π 6. The region bounded by the curves y = sec x and y = 2 is revolved about the x-axis. The volume of the solid generated is (a) π (b) π (c) 2π Quick Quiz 6.3 Answers: 1a 2c 3c 4b 5a 6b
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