DHS 13.1 - Option 26. 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.

1.26. D: x = √9 - y2, y = x, y ≥ 0.

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

 D: y = √x, y = 0, x + y = 2

3. Calculate the double integral using polar coordinates.

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

4.26. D: x2 / 4 + y2 / 1 = 1, y ≤ 1 / 2x, y ≥ 0

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

5.26. ρ = 4 (1 + cosφ)

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

6.26. y = x2, z = 0, y + z = 2