DHS 13.1 - Option 7. 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.

1.7. D: y = x2 - 2, y = x

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

 D: y2 = x, 5y = x

3. Calculate the double integral using polar coordinates.

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

4.7. D: y2 = 4x, x2 = 4y.

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

5.7. ρ = asin2φ

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

6.7. y = √x, y = x, x + y + z = 2, z ≥ 0