DHS 13.1 - Option 28. 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.

1.28. D: y = -x, 3x + y = 3, y = 3.

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

 D: y = x3, y = 3x

3. Calculate the double integral using polar coordinates.

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

4.28. D: y = x2, y = 3 / 4x2 + 1

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

5.28. ρ2 = a2cos3φ

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

6.28. z = x2 + 2y2, y = x, x ≥ 0, y = 1, z ≥ 0