DHS 13.1 - Option 3. 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.

1.3. D: x = √8 - y2, y ≥ 0, y = x

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

 D: y2 = x, y = x

3. Calculate the double integral using polar coordinates.

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

4.3. D: y2 = x + 2, x = 2

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

5.3. (X2 + y2) 3 = a2x2 (4x2 + 3y2)

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

6.3. z = x2, x - 2y + 2 = 0, x + y - 0 = 7, z ≥ 0