Question :
31) If f(x, y) = (3000ey)/(1 + |x|/2) represents the : 1757212
31) If f(x, y) = (3000ey)/(1 + |x|/2) represents the population density of a planar region on Earth, where x and y are measured in miles, find the number of people within the rectangle -9 ≤ x ≤ 9 and -4 ≤ y ≤ 0.
A) 12,000(1 - e-4) ln 11/2 ≈ 20,082 B) 3000(1 - e-4) ln 11/2 ≈ 5021
C) 6000(1 - e-4) ln 5 ≈ 14,124 D) 6000(1 - e-4) ln 11/2 ≈ 10,041
32) z = 6x2y; R = {(x, y): 0 ≤ x ≤ 4, 0 ≤ y ≤ 3}
A) 576 B) 2256 C) 1256 D) 676
33) z = x2 + y2; R = {(x, y): 0 ≤ x ≤ 1, 0 ≤ y ≤ 1}
A) 4/3 B) 2/3C) 8/3 D) 1/3
34) z = 8x + 4y + 7; R = {(x, y): 0 ≤ x ≤ 1, 1 ≤ y ≤ 3}
A) 36 B) 38 C) 26 D) 28
35) z = 4x2 + 9y2; R = {(x, y): 0 ≤ x ≤ 1, 0 ≤ y ≤ 1}
A) 13/3 B) 5/3 C) 17/3 D) 26/3
36) z = x/y ; R = {(x, y): 0 ≤ x ≤ 1, 1 ≤ y ≤ e}
A) 1/6 B) 1/3 C) 1/4 D) 1/2
37) The coordinate axes and the line x + y = 3
38) The coordinate axes and the line x/6 + y/8 = 1
39) The lines x = 0, y = 7x, and y = 5
40) The parabola y = x2 and the line y = 7x + 30