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Question 5. [5pt total] Consider a cuboid in 3D-space that is resting on the ty-plane, with...
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:
Consider the following. 12 7 + 7 cos(0) (a) Find the eccentricity e = Identify the...
Consider the following. 12 7 + 7 cos(0) (a) Find the eccentricity e = Identify the conic. parabola O ellipse hyperbola (b) Find the vertices in polar coordinates. (If an answer does not exist, enter DNE.) conly vertex or vertex closest to the origin) (farthest from the origin) Sketch the graph. y 3 x 3 -2 3 3 2 7 3 -1 2 3 o
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
Total Marks 5 (1 mark each question) 1 2 0 1 0 1 0 -4 Question...
Total Marks 5 (1 mark each question) 1 2 0 1 0 1 0 -4 Question 1: Find the determinant of by row reduction method. 2 -2 -2 0 13 14 Question 2: Find the inverse of the matrix A = 0 -2 1 using cofactor or adjugate method. 0 0 3 Question 3: Find the area of the region E bounded by the ellipse whose equation + =9 4 4: Find area of the parallelogram whose vertices are: Question...
please answer 5 and 6 5.) (8 pts.) Sketch the solid R in 3D-Space whose volume...
please answer 5 and 6
5.) (8 pts.) Sketch the solid R in 3D-Space whose volume is given by the following double integral. (8 - 41 -2y) dy dz Jo Jo 6.) (10 pts.) Consider region R in 2D-Space, which is bounded by the y-axis and the right half of the circle given in polar coordinates by s = 4 sin 8. Find the I-coordinate of the Centroid of R (SET UP ONLY) using Rectangular Coordinates.
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...
could someone please hlep me to solve this Ex?? Exercise 5- Space group Imm2 Below, there...
could someone please hlep me to solve this Ex??
Exercise 5- Space group Imm2 Below, there is the representation of the Imm2 space group. The projections are in the (001) plane with the symmetry operations on the one hand and the general positions of the space group on the other hand. a 1-What is the crystal system, the Bravais lattice and the point group of this space group (SG)? 2- Name an give the direction of the point symmetry operations...
For this question, we are concerned with the movement of an object along a path in the plane. We are assuming that the plane is a coordinate plane and the object starts at the point. As the object mo...
For this question, we are concerned with the movement of an object along a path in the plane. We are assuming that the plane is a coordinate plane and the object starts at the point. As the object moves along the path, each point on that path has two coordinates. The coordinates depend on the distance traveled along the path. Let us call this distance S, the length of the path from the origin to a point P on the...
Question 3: [5pt total] Consider the following game: Player 1 Player 2 X Y Z A...
Question 3: [5pt total] Consider the following game: Player 1 Player 2 X Y Z A 4,0 -3,8 -7, -1 B-4,3 0,6 9,5 C3,2 2,-1 11, 9 Let B1(-) and B2(-) be the best response function for player 1 and player 2 respectively. Calculate the following: 3)a) [1pt] B1(X) 3)b) [1pt] B2(B) 3)c) (1pt] Social Welfare Maximum: 3)d) [1pt] Dominant Strategies for Player 1: 3)) [1pt] Pure Nash Equilibriums:
Question 7: [20pt total] The points (-4,4,2), (4,4, 2), (4, -4,4), and (-4, -4,4) form the...
Question 7: [20pt total] The points (-4,4,2), (4,4, 2), (4, -4,4), and (-4, -4,4) form the vertices of a rectangle in 3D space. Q7)a) [12pt] Complete the below table by calculate the central and parallel projections of these points onto the plane z = 1. Point Central projection onto z=1 Parallel projection onto z (-4,4,2) (4,4,2) (4, -4,4) (-4,-4,4) Q7)b) (8pt] Sketch both the centrally projected rectangle and the parallel projected rectangle on the coordinate planes below (be sure to...
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:
Consider the following. 12 7 + 7 cos(0) (a) Find the eccentricity e = Identify the conic. parabola O ellipse hyperbola (b) Find the vertices in polar coordinates. (If an answer does not exist, enter DNE.) conly vertex or vertex closest to the origin) (farthest from the origin) Sketch the graph. y 3 x 3 -2 3 3 2 7 3 -1 2 3 o
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
Total Marks 5 (1 mark each question) 1 2 0 1 0 1 0 -4 Question 1: Find the determinant of by row reduction method. 2 -2 -2 0 13 14 Question 2: Find the inverse of the matrix A = 0 -2 1 using cofactor or adjugate method. 0 0 3 Question 3: Find the area of the region E bounded by the ellipse whose equation + =9 4 4: Find area of the parallelogram whose vertices are: Question...
please answer 5 and 6
5.) (8 pts.) Sketch the solid R in 3D-Space whose volume is given by the following double integral. (8 - 41 -2y) dy dz Jo Jo 6.) (10 pts.) Consider region R in 2D-Space, which is bounded by the y-axis and the right half of the circle given in polar coordinates by s = 4 sin 8. Find the I-coordinate of the Centroid of R (SET UP ONLY) using Rectangular Coordinates.
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...
could someone please hlep me to solve this Ex??
Exercise 5- Space group Imm2 Below, there is the representation of the Imm2 space group. The projections are in the (001) plane with the symmetry operations on the one hand and the general positions of the space group on the other hand. a 1-What is the crystal system, the Bravais lattice and the point group of this space group (SG)? 2- Name an give the direction of the point symmetry operations...
For this question, we are concerned with the movement of an object along a path in the plane. We are assuming that the plane is a coordinate plane and the object starts at the point. As the object moves along the path, each point on that path has two coordinates. The coordinates depend on the distance traveled along the path. Let us call this distance S, the length of the path from the origin to a point P on the...
Question 3: [5pt total] Consider the following game: Player 1 Player 2 X Y Z A 4,0 -3,8 -7, -1 B-4,3 0,6 9,5 C3,2 2,-1 11, 9 Let B1(-) and B2(-) be the best response function for player 1 and player 2 respectively. Calculate the following: 3)a) [1pt] B1(X) 3)b) [1pt] B2(B) 3)c) (1pt] Social Welfare Maximum: 3)d) [1pt] Dominant Strategies for Player 1: 3)) [1pt] Pure Nash Equilibriums:
Question 7: [20pt total] The points (-4,4,2), (4,4, 2), (4, -4,4), and (-4, -4,4) form the vertices of a rectangle in 3D space. Q7)a) [12pt] Complete the below table by calculate the central and parallel projections of these points onto the plane z = 1. Point Central projection onto z=1 Parallel projection onto z (-4,4,2) (4,4,2) (4, -4,4) (-4,-4,4) Q7)b) (8pt] Sketch both the centrally projected rectangle and the parallel projected rectangle on the coordinate planes below (be sure to...
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