![Question 1: [10pt total] Consider the line through the points (-3,-4) and (1,4). Q1)a) (3pt) Graph the line on the ey-plane b](http://img.homeworklib.com/questions/8d4ad270-098e-11eb-a2a9-ef409c3c6d90.png?x-oss-process=image/resize,w_560)
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Question 1: [10pt total] Consider the line through the points (-3,-4) and (1,4). Q1)a) (3pt) Graph...
Question 3: [10pt total] Consider the line in 3D space that goes through the points (2,5,-4)...
Question 3: [10pt total] Consider the line in 3D space that goes through the points (2,5,-4) and (2,8,0). Q3)a) [5pt] Calculate a parametrization of the line. Parametrization of the line: Q3)b) (5pt] This line lies on a plane which is perpendicular to a coordinate axis: what equation describes that plane? Equation of the plane:
Question 4: [10pt total] Let ū = (1,4), T = (–7,5), and W = (-2, -1)....
Question 4: [10pt total] Let ū = (1,4), T = (–7,5), and W = (-2, -1). Calculate the following: Q4)a) [2pt] 7 + V Q4)b) [2pt] 3 V Q4)c) [2pt] 27 – +3W Q4)d) [3pt] (-1,-1, 2) + (7,0,-5) – (2,8,0) = Q4)e) (3pt] (2a + 2b,b,c – a) – 2(a, a + b,c) =
Question 4: [10pt total] Let 7 = (1,4), 7 = (-7,5), and =(-2,-1). Calculate the following:...
Question 4: [10pt total] Let 7 = (1,4), 7 = (-7,5), and =(-2,-1). Calculate the following: Q4)a) [2pt] 7+7= Q4)b) (2pt] 37 Q4)c) [2pt] 27 - 7+3= Q4)d) (3pt](-1,-1,2) + (7,0,-5) - (2,8,0) = Q4)e) [3pt] (2a + 2b,b,c-a) -2(a, a +b,c) =
--> Econ Graph Review a) The equation of the line passing through the points (5, 1)...
--> Econ Graph Review a) The equation of the line passing through the points (5, 1) and (8, 2) is ay = x + b. Find the values for constants a and b. Represent this function in a xy plane. b) Let L be the line passing through the point (4, 9) with slope 3/4. Represent this function using the y = mx + b formula. Find the y-intercept of L. c) Graph the following two equations on the same...
Question 4 Find the equation of the line passes through the points (2, -1,3) and (1,4,...
Question 4 Find the equation of the line passes through the points (2, -1,3) and (1,4, -3). y+5 z +6 3 3+1 -5 1 6 2= 1 + 2t y = 2 +3t z=1 - 5t None of the above or below 2=2+t y= 2 + 3t z= 3+ 6t 1 = 1 wel 3 - Previous
Question 10: [8pt total] Consider the line in 3D space (2,5, 2) +t(-6, 4, 2). 10)a)...
Question 10: [8pt total] Consider the line in 3D space (2,5, 2) +t(-6, 4, 2). 10)a) [4pt] Determine vanishing point of the line when centrally projected onto the plane z = 2: Vanishing point: 10)a)ii) (4pt] Graph the central projection of the line onto the plane z = 2. y 6 2 2 8 -6 -4 -2 0 2 8 -2 61
Question 8: [20pt total] Consider the line (1, -3, -1) + t(1,3,2). Q8)a) [12pt] Complete the...
Question 8: [20pt total] Consider the line (1, -3, -1) + t(1,3,2). Q8)a) [12pt] Complete the table below by calculating the relevant points on the line and their central projections onto the plane x = 2 (the first one is done for you). t Point on line Central projection onto r = 2 t=0 (1, -3, -1) +0(1,3,2) = (1, -3, -1) (2, -6, -2) t=1 t = 10 t = 100 Q8)b) (5pt] Determine vanishing point of the line...
Question 7: [10pt total] Consider the following voter profile: Votes 13 9 8 10 Preferences А...
Question 7: [10pt total] Consider the following voter profile: Votes 13 9 8 10 Preferences А с B D B с D A с B D А D B с Calculate the following: 7)a) [3pt) Social ranking under the Plurality system. Plurality Social Ranking: 7)b) (3pt) Social ranking under the Instant Runoff system. Instant Runoff Social Ranking: 7)c) [4pt Condorcet winner (if one exists). Condorcet Winner:
#1 What is the slope of the line containing the points (-1,4) and (3,2)
#1 What is the slope of the line containing the points (-1,4) and (3,2)? a. -2 b. 1/2 c. -1/2 d. 2 -------------------------------------------------------------------------------- Question 2 (Multiple Choice Worth 1 points) Choose the best description for graphing the point (3,-4). a. Go to the left three and up four. b. Go to the right three and up four. c. Go to the right three and down four. d. Go to the left three and down four. -------------------------------------------------------------------------------- Question 3 (Multiple Choice...
Question 8: [10pt total] Consider the following voter profile: Votes 4 12 3 B с D...
Question 8: [10pt total] Consider the following voter profile: Votes 4 12 3 B с D Preferences D C А B D B Assume the voting system is the Borda voting system. 8)a) [3pt) Calculate the social ranking, assuming the voters voted sincerely? Social Ranking: 8)b) [6pt) Show that there is a way for D to win the election through tactical voting, and calculate the new social ranking. New Social Ranking: 8)c) [1pt] What is the type of tactical voting...
Question 3: [10pt total] Consider the line in 3D space that goes through the points (2,5,-4) and (2,8,0). Q3)a) [5pt] Calculate a parametrization of the line. Parametrization of the line: Q3)b) (5pt] This line lies on a plane which is perpendicular to a coordinate axis: what equation describes that plane? Equation of the plane:
Question 4: [10pt total] Let ū = (1,4), T = (–7,5), and W = (-2, -1). Calculate the following: Q4)a) [2pt] 7 + V Q4)b) [2pt] 3 V Q4)c) [2pt] 27 – +3W Q4)d) [3pt] (-1,-1, 2) + (7,0,-5) – (2,8,0) = Q4)e) (3pt] (2a + 2b,b,c – a) – 2(a, a + b,c) =
Question 4: [10pt total] Let 7 = (1,4), 7 = (-7,5), and =(-2,-1). Calculate the following: Q4)a) [2pt] 7+7= Q4)b) (2pt] 37 Q4)c) [2pt] 27 - 7+3= Q4)d) (3pt](-1,-1,2) + (7,0,-5) - (2,8,0) = Q4)e) [3pt] (2a + 2b,b,c-a) -2(a, a +b,c) =
Question 4 Find the equation of the line passes through the points (2, -1,3) and (1,4, -3). y+5 z +6 3 3+1 -5 1 6 2= 1 + 2t y = 2 +3t z=1 - 5t None of the above or below 2=2+t y= 2 + 3t z= 3+ 6t 1 = 1 wel 3 - Previous
Question 10: [8pt total] Consider the line in 3D space (2,5, 2) +t(-6, 4, 2). 10)a) [4pt] Determine vanishing point of the line when centrally projected onto the plane z = 2: Vanishing point: 10)a)ii) (4pt] Graph the central projection of the line onto the plane z = 2. y 6 2 2 8 -6 -4 -2 0 2 8 -2 61
Question 8: [20pt total] Consider the line (1, -3, -1) + t(1,3,2). Q8)a) [12pt] Complete the table below by calculating the relevant points on the line and their central projections onto the plane x = 2 (the first one is done for you). t Point on line Central projection onto r = 2 t=0 (1, -3, -1) +0(1,3,2) = (1, -3, -1) (2, -6, -2) t=1 t = 10 t = 100 Q8)b) (5pt] Determine vanishing point of the line...
Question 7: [10pt total] Consider the following voter profile: Votes 13 9 8 10 Preferences А с B D B с D A с B D А D B с Calculate the following: 7)a) [3pt) Social ranking under the Plurality system. Plurality Social Ranking: 7)b) (3pt) Social ranking under the Instant Runoff system. Instant Runoff Social Ranking: 7)c) [4pt Condorcet winner (if one exists). Condorcet Winner:
Question 8: [10pt total] Consider the following voter profile: Votes 4 12 3 B с D Preferences D C А B D B Assume the voting system is the Borda voting system. 8)a) [3pt) Calculate the social ranking, assuming the voters voted sincerely? Social Ranking: 8)b) [6pt) Show that there is a way for D to win the election through tactical voting, and calculate the new social ranking. New Social Ranking: 8)c) [1pt] What is the type of tactical voting...
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