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Question 7: [20pt total] The points (-4,4,2), (4,4, 2), (4, -4,4), and (-4, -4,4) form the...
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 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
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d =...
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and...
(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and is parallel to the vector (-1, 3, -4) x+ 4-Y+ 2 3 z-6 -4 -(x +4) 3(y 2)-4(z +6). y+2 z-6 3 -(x-4) 3(y +2) -4(z- 6). o4-2-116 = Y - 2-z+6 3 (b) Find the points in which the required line in part (a) intersects the coordinate planes. 5 ,5,0 x ) point of intersection with xy-plane 10 7 point of intersection with...
please show all work in clean and legible handwriting with all labels and steps that is properly explained for PROBLEMS #1, 2, 3, AND 4. Any incorrect answers and not solving all 4 problems...
please show all work in clean and legible handwriting with all
labels and steps that is properly explained for PROBLEMS #1, 2, 3,
AND 4. Any incorrect answers and not solving all 4 problems will
get an immediate thumbs down because they did not follow
directions, thank you
1) Express the triple integral Ⅲf (x,y,z) dV as an iterated integral in the two a) E={(x,y,z)Wr2+yszaj orders dzdy dr and dz dr dy where b) Sketch the solid region E c)...
(5 points in total) For this question, we need more precision (more digits after the decimal...
(5 points in total) For this question, we need more precision (more digits after the decimal points) than the Matlab default precision. Use 'Format Long' to get more digits For function f(x) 1. 1+x3 Find the power series expansion of f(x) (Hint: Command 'taylor' may be useful) up to x20 Use your answer in part(a) to find the first three non-zero terms of a numerical series that converges to (x)dx Give an upper bound for the error of the approximate...
3. (14 points) Given the lines: 21:2(t) = -3t – 1, y(t) = 2t +4, z(t)...
3. (14 points) Given the lines: 21:2(t) = -3t – 1, y(t) = 2t +4, z(t) =t+4 12: x(u) = 5 - 3u, y(u) = u +1, (u) = u +2 1. Determine whether li and ly are parallel, skew or intersect. If the lines intersect, find the point of intersection of li and 12. 2. If the lines intersect or are parallel, give an equation for the plane which contains both lines. If the lines are skew, find a...
Question 2 (4 points) In the following Haworth structure, is this the A or B anomer?...
Question 2 (4 points) In the following Haworth structure, is this the A or B anomer? CH,OH OH OH H O a, because the OH is below the plane of the ring OB, because the OH is below the plane of the ring a, because the OH is above the plane of the ring OB, because the OH is above the plane of the ring In the following Fischer projection, which chiral carbon is used to determine whether the sugar...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
NO.25 in 16.7 and NO.12 in 16.9 please. For the vector fied than the vecto and outgoing arrows. Her can use the formula for F to confirm t n rigtppors that the veciors that end near P, are shorter rs...
NO.25 in 16.7 and NO.12 in
16.9 please.
For the vector fied than the vecto and outgoing arrows. Her can use the formula for F to confirm t n rigtppors that the veciors that end near P, are shorter rs that start near p, İhus the net aow is outward near Pi, so div F(P) > 0 Pi is a source. Near Pa, on the other hand, the incoming arrows are longer than the e the net flow is inward,...
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 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
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and is parallel to the vector (-1, 3, -4) x+ 4-Y+ 2 3 z-6 -4 -(x +4) 3(y 2)-4(z +6). y+2 z-6 3 -(x-4) 3(y +2) -4(z- 6). o4-2-116 = Y - 2-z+6 3 (b) Find the points in which the required line in part (a) intersects the coordinate planes. 5 ,5,0 x ) point of intersection with xy-plane 10 7 point of intersection with...
please show all work in clean and legible handwriting with all
labels and steps that is properly explained for PROBLEMS #1, 2, 3,
AND 4. Any incorrect answers and not solving all 4 problems will
get an immediate thumbs down because they did not follow
directions, thank you
1) Express the triple integral Ⅲf (x,y,z) dV as an iterated integral in the two a) E={(x,y,z)Wr2+yszaj orders dzdy dr and dz dr dy where b) Sketch the solid region E c)...
(5 points in total) For this question, we need more precision (more digits after the decimal points) than the Matlab default precision. Use 'Format Long' to get more digits For function f(x) 1. 1+x3 Find the power series expansion of f(x) (Hint: Command 'taylor' may be useful) up to x20 Use your answer in part(a) to find the first three non-zero terms of a numerical series that converges to (x)dx Give an upper bound for the error of the approximate...
3. (14 points) Given the lines: 21:2(t) = -3t – 1, y(t) = 2t +4, z(t) =t+4 12: x(u) = 5 - 3u, y(u) = u +1, (u) = u +2 1. Determine whether li and ly are parallel, skew or intersect. If the lines intersect, find the point of intersection of li and 12. 2. If the lines intersect or are parallel, give an equation for the plane which contains both lines. If the lines are skew, find a...
Question 2 (4 points) In the following Haworth structure, is this the A or B anomer? CH,OH OH OH H O a, because the OH is below the plane of the ring OB, because the OH is below the plane of the ring a, because the OH is above the plane of the ring OB, because the OH is above the plane of the ring In the following Fischer projection, which chiral carbon is used to determine whether the sugar...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
NO.25 in 16.7 and NO.12 in
16.9 please.
For the vector fied than the vecto and outgoing arrows. Her can use the formula for F to confirm t n rigtppors that the veciors that end near P, are shorter rs that start near p, İhus the net aow is outward near Pi, so div F(P) > 0 Pi is a source. Near Pa, on the other hand, the incoming arrows are longer than the e the net flow is inward,...
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