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31) If f(x, y) = (3000ey)/(1 + |x|/2) represents the

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

Solution
5 (1 Ratings )

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