DHS 13.1 - Option 14. 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.

1.14. D: x ≤ 0, y ≥ 1, y ≤ 3, y = - x.

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

 D: y = x3, y = 0, x ≤ 2

3. Calculate the double integral using polar coordinates.

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

4.14. D: y = √2 - x2, y = x2

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

5.14. (X2 + y2) 3 = a4y2

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

6.14. z = 3x2 + 2y2 + 1, y = x2 - 1, y = 1, z ≥ 0