Which of the following sets spans R³? None of these O {(0,1,-1)} O {(0,1,-1),(0,0,0)} O {(-3,0,2).(5,1,0),(0,1,-1)}

Q: Which of the followwing sets is linearly independent? O M={ (1,1,3),(3,2,0), (4,5,6)} O…

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Q: Which of the following sets is a linearly independent set? a. (1,2),(5,10) b. (1,2),(5,8) c.…

A: Linearly independent and dependent set

Q: Which of the following sets spans R {(1,1,1), (1,1,0), (1,0,0)} {(3,0,-2)}…

A: This question is related to Linear Algebra

Q: 8. Sketch the sets X = {(x, y) e R :x+y s1} and Y = {(x,y) ER:-1sys0} on R. On separate drawings,…

A: And,

Q: (a) By contradiction, prove that V x, y € Z, if xy is even and y is odd then x is even. (b) Show…

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Q: Find the complement of the set given thatU = {x | x E I and -3 <x 7}. %3D {-3, -1, 3, 6, 7}

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Q: Q3- Give an example of two denes not equal X subsets of (R,7) and (z,7cof). ( Explain your answer ).…

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Q: For the partial ordering p = {(x, y): x|y, x ∈ S, y ∈ S} where S = {2, 3, 4, 5, 15, 32, 60} List the…

A: Consider the provided question, A relation R on a set S is called a partial ordering if it is…

Q: Which of the following sets spans R³? O {(-3,0,2).(0,0,0)} O {(-3,0,2),(5,1,0),(0,-1,1)} O None of…

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Q: Use the roster method to write the given set below: 1. {x∈W|x−1<4} p.s Arrange the elements from…

A: We have to write the given sets in roster form. 1. x∈W:x-1&lt;42. Uk=k,-k,2k,k2, where k=1.

Q: Find the extreme points and directions of the following polyhedral sets. а. S = {x:x +2x2 +x3 <10,-x…

A: Hi! As per the norms, we will be answering only the first one. If you need an answer to others then…

Q: Which of the following sets is linearly independent in P2 ? {1+x + x?, x – x²,x + x²} the above set

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Q: Q3- Give an example of two denes not equal X subsets of (R,tco) and (z,rof ). ( Explain your answer…

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Q: Which of the following sets spans R³? O ((3,0,-2).(0,0,0)) ((3,0,2)} O {(3,0,-2),(5,1,0),(0,-1,1)} O…

A: Find the spans R3

Q: Which of the following sets spans R? R32 O (3,0,-2)} O(3,0-2).(0,0,0)} O(3,0,-2).(5,1,0),(0,-1,1)} O…

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Q: a) Show that the set S = {(1, 2, 3), (0, 1, 2), (– 2, 0, 1)} spans R³. b) Determine whether the set…

A: See the attachment.

Q: Use the given sets to find D∪(E∩F)D∪(E∩F). U={a,b,c,d,…,x,y,z}U={a,b,c,d,…,x,y,z}…

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Q: Which of the following subsets of R² are open? From the 5 choices, select all that apply {(x, y) : y…

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Q: 1. Find the sets of interior points and boundary points of each set and classify the set as open,…

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Q: 38. Which of the following is a disconnecting set? A. {ei, e7, e4, es} B. {ez, ez, e6, es} C. {e4,…

A: Given Graph, We have to find out the disconnecting set.

Q: Which of the following sets spans R³? {(0,1,-1)} None of these O {(0,1,-1).(0,0,0)} O…

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Q: Which of the following sets are the base for R ? Explain the reason. a) S = {(1,1,0, 1). (1, -1,1,…

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Q: Let the set S (-2, 0, 5), fx)=,-1and g(x)=3x- x2 .Are the set gof (S) : {3, -4, 14) {399, 0, 143}…

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Q: 10. Using the figure on the right andU = {a, b, c, d,e,f.g. h} being the universal set, find the…

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Q: Which of the following sets spans R? {(3,0,2),(0,0,0)} O {(3,0,-2),(5,1,0),(0,-1,1)} {(3,0,2)} None…

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Q: The relation - on the set A = Z x (N - {0}) by (u, v) - (z, w) if and only if wu = zv. Specify the…

A: We will use the relation wu=zv between two elements (u,v) and (z,w) .

Q: For R", { (1,1,0, 4) , (1, 0, 1,0), (-2, 3, 1, 4), (2,1, -1, 1) } A Does A set form a bose for R"=?…

A: Take A=11-221031011-1-1041 Apply the row operations to reduce the matrix to echelon form.…

Q: 8. Sketch the sets X = {(x,y) E R :x +y s 1} and Y = {(x, y) ER:-1sys0} on R. On separate drawings,…

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Q: Find n(A) for the following set. A= {a, b, c,.., z} n(A) =]

A: Given Data: Set A: {a, b, c,..., z} The set A is consists of English alphabets. English alphabets…

Q: Express the set using the roster method. {x | XEN and 6<xs 12} Choose the correct answer below. O A.…

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Q: Which of the following sets is linearly independent in P2 ? {1 – x, 0, x² – x + 1} the above set O…

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Q: (b) = R°, W is the set of all (x1, 22, 13) such that 2xi = -x2+ X3. (c) V = R³, W is the set of all…

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Q: Which of the following are disjoint sets? *       D. {1,3,5} and {2,4,6}       C. {1,2,5} and…

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Q: Which of the following sets are equal? A = { 0, 1, 2 } B = { x ∈ R | -1 ≤ x < 3 } C = { x ∈ R | -1 <…

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Q: Which of the following sets is R It stretches (produces) ? Why? a.{(1,1), (2,2)} b.{(0,0), (1,1)}…

A: Simple basis problem....

Q: 2. Express the set using the roster method. (x | XEN and xs 5) Choose the correct answer below. O A.…

A: In given question, we can define the set using roaster method.

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: Which of the following sets spans R? O (3,0,2).(5,1,0),(0,-1,1)} O (-3,0,2),(0,0,.0)} (-3,0,2)) None…

A: To finds sets that spans R3

Q: (a) By contradiction, prove that V r, y € Z, if ry is even and y is odd then x is even. (b) Show…

A: (a) Given v x,y ∈Z,     &amp; xy is an even integer with y is odd.     To show x is even.      Let…

Q: Find the complement of the following sets: {x x > 5 and x E W} The set of integers greater than 4 or…

A: Complement set consists all the elements of universal set other than the elements of the set in the…

Q: VII.1. Describe the set (R × Z) ∩ (Z × R)

A: We have to describe the set (R × Z) ∩ (Z × R).

Q: 3. Find all ordered pairs in the relation R from A = (a,b) E R if and only if a + b = 9. {0,2,4,7}…

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Q: Express the set in roster form. B= (x | XEN and x26) Choose the correct answer below. O A. B- (7, 8,…

A: Given: B={x|x∈N and x≥6} To find: Express the set in Roster form

Q: Which of the following sets are closed under multiplication? 11. (i) X = {1, 2, 3, 4, ..., 30} (ii)…

A: i) If we multiply 30 and 2 from set X, then we get 30*2= 60  This is not in the set. So, X is not…

Q: One of the followin relations is not symmetric,where A={1,2,3,4}: .a…

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Q: 28. Which of the following sets does not have the completeness axiom? A. R {0} B. R+ C. Q {0} D. R…

A: We have to determine which sets doesn't have the completeness axiom .

Q: 3. Find the number of elements of the set P= {n|n E Z, 1<n< 400, 3 Xn and 7 n and 13 n}.

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Q: Which of the following is not in R={(x,y)┤|x+2=y}, where R is a subset of A×A and A={1,2,34,5}? a.…

A: Solution

Q: Which of the following sets spans R (1,0,-2),(5,1,0),(0,0,0)} {(3,0,-2)} O((1,1,1), (1,1,0),…

A: If the set spans R3 then the vectors are linearly independent and it forms a basis and R3 must…

Q: The set of all triples of real numbers (x, y, z) with the operations x, y,2) + (x', y',z') = (x +…

A: Given : set of all triples of real numbers x, y, z with the operations   x, y, z+x', y', z'=x+x',…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.