DHS 13.1 - Option 21. 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.

1.21. D: y ≥ 0, y ≤ 1, y = x, x = - √4 - y2

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

 D: y = 3x2, y = 3

3. Calculate the double integral using polar coordinates.

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

4.21. D: x = y2 + 1, x + y = 3

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

5.21. (X2 + y2) 3 = a2 (x4 + y4)

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

6.21. y = x2, y = 4, z = 2x + 5y + 10, z ≥ 0