1. The problem statement, all variables and given/known data Make a good sketch of the plane region D defined by the following simultaneous inequalities: D: y >/= -2x, 2y >/= x, 2y </= 4-x. Use deep conceptual understanding the insight (and no antiderviative calculations!) to reduce the iterated integral below to a simple algebraic expression depending on the parameters a, b, and c: I = ∫∫(a+bx+cy)dA. Enter the value of I corresponding to a = -0.8, b = 0.7, and c = -1.2. a) -7.04 b) -6.00 c) -4.67 d) 8.07 e) 2.74 2. Relevant equations None, other than the integral equation provided in the question. 3. The attempt at a solution As asked in the question, I made a quick sketch, shown below: Then I used the dot product to figure out that the region in consideration is a right triangle. Hence, it was easy to calculate the area of this region in the 2D plane. I calculated it to be: A = 3.097097656 Now, I don't know how to extend this idea to calculate the volume since f(x,y) is not constant. Any help would be greatly appreciated. Thanks!