DHS 13.1 - Option 11. Decisions Ryabushko AP

1. Provide a double integral as an iterated integral with the outer integration over x and external integration with respect to y, if D is given the above lines.

1.11. D: y2 = 2 - x, y = x

2. Calculate the double integral over the region D, limited to lines.

 D: y = x2, y = 1

3. Calculate the double integral using polar coordinates.

4. Calculate the area of a plane region D, bounded set tench.

4.11. D: y = 4x2, 9y = x2, y ≤ 2

5. Use double integrals in polar coordinates to calculate the flat area of the figure bounded by the lines indicated.

5.11. (X2 + y2) 2 = a2 (7x2 + 5y2)

6. Calculate the volume of the body bounded by a given surface.

6.11. 2x + 3y - 12 = 0, 2z = y2, x ≥ 0, y ≥ 0, z ≥ 0