DHS 13.1 - Option 22. 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.

1.22. D: x ≤ 0, y = 1, y = 4, y = -x

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

 D: y = x, y = 0, x = 1

3. Calculate the double integral using polar coordinates.

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

4.22. D: x2 = 3y, y2 = 3x

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

5.22. (X2 + y2) 3 = 2ay3

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

6.22. y = 2x, x + y + z = 2, x ≥ 0, z ≥ 0