DHS 13.1 - Option 29. 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.

1.29. D: x ≥ 0, y = 1, y = -1, y = log1 / 2x

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

 D: x = 2 - y2, x = 0

3. Calculate the double integral using polar coordinates.

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

4.29. D: x = y2, y2 = 4 - x

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

5.29. ρ2 = a2cos2φ

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

6.29. z = y2, x + y = 1, x ≥ 0, z ≥ 0