uv Use the map G(u, v) = to compute (x + y) dx dy, where D is the region bounded by x + y = 3, x + y = 6, y = x, y = 7x. v + 1 v + 1

State the area of the region, determined by the lines, y = 6r, y = 3x +2, y = 6x – 11, y = 3x + 9 with proper uv-transformation. i. integrand function (integrant fonksiyonu) ii. the limits of u (u nun sınırları) i the limits of v (v nin sınırları) Oi. 1/9 ii. 2 s us 11 iii. 2 s v s9 Oi. 1/3 ii. 0 s us 11 iii. 0 s v s9 Oi. 1/3 ii. 2 s us 11 ii. Os vs 9 Oi. 1/3 ii. 0 sus 11 iii. 2 s v s 9 Oi.9 ii. 0 s u s11 iii. 2 s v s 9

Find the area of the shaded region

Find the global min and max of the provided function on the provided region R: f(x,y) = x - y - xy   on the triangle R with vertices (0,0), (0,2), and (4,0)