Let d be the parallelogram with vertices 0 0 1 2 2 2 3 4 -

Question

Problem 1: Evaluate ∫∫ log(x² + y²) dx dy
                              D

where D is the region given below.

Problem 2: Let D be the parallelogram with vertices (0, 0), (1, 2), (2, 2), (3, 4).

Evaluate ∫∫ xy dx dy by making the change of variables x = u - v, y = 2u - v.
             D

Problem 3: Triple integrals to find the volume of the solid below.

Problem 4: Triple integrals to find ∫∫∫ x dV for region below.
                                                 D