Webassign Answers 7.3

Step by step solutions: 1 3 5 6 7 8

1. Use the method of cylindrical shells to find the Volume V generated by rotating the region bounded by the given curves about the y-axis.

y = 3e^-x^2, y = 0, x = 0, x = 1

Sketch the region and the typical shell.

2. Y = 5x^2, y = 30x -10x^2

3. Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = sqrt(16x) and y = x^2/16. Find the V by slicing.

Find V be cylindrical shells.

4. Xy = 9, x = 0, y = 9, y = 11

5. Y = x^3, y = 8, x = 0

6. x = 4 + (y-7)^2, x = 13

7. x + y = 5, x = 9 – (y – 2)^2

8. Use the method of cylindrical shells to find the Volume V generated by rotating the region bounded by the given curves about x = 4.

y = 3x^4, y = 0, x = 2