6 The Are a of the traufe twith vertices A = (1,2,3),B= (2,3,4) and C= (1,!, x) is egual to /VE Find X.

Q: Let P1, P2, P3, .. , P78 be some coplanar points with k lines on the same plane. If exactly two line…

A: Given,  P1, P2,P3,...,P78 be some coplanar points with k lines on the same plane. If exactly…

Q: G = (V, E) has n > 2 vertices and no self-loops, show that there exist two vertices v w ch that…

A: Graph without self loop is called simple

Q: 4.5 Compute the value of G dL for G 2ya, with A(1,-1, 2) and P(2, 1, 2) using the path: (a)…

A:

Q: Of the De AJKL has vertices J(2, 3), K(4, 5), and L(6, 1). Graph and label the vertices of AJKL and…

A:

Q: 1. If there are 8 distinct points on a plane with no three of which are collinear, how many…

A:

Q: 6. Show that the sets S = (1,5) and T = (0, 00) are equinumerous by finding a bijection from S to T.…

A:

Q: Find the Sclutian to the an=2anal t3an-2 with terms lecurrence relation initial and

A:

Q: Sketch the grafph Following Funcfions Tor the :も L) 2=4- y bx+2y t3でンと *)モ x3+ +y2

A: Here we have to sketch the graph for the following function. i) 6x2+2y2+3z2=6j) z=x2+y2k) z=x3+y2L)…

Q: A 1-i

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Q: Let x and y be two adjacent vertices in the complete bipartite graph Kn,n,     n ≥ 3. Find the…

A:

Q: Find the set of ordered pairs (T0, Yo) for which Picard's Theorem guarantees that the IVP y ry %3D y…

A: Given,            y'=xyx+y, y(x0)=y0

Q: find Len th of avectors 2く3,-S,\> D=くW5> ビ,37 andd And Draw the coordinates for each point

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Q: 4) Use Green's Theorem to evaluate f √1+x³dx + 2xydy. C is the triangle with vertices (0,0), (1,0),…

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Q: The next two questions pertain to the following: Four cities A,B,C,D are located as vertices of a…

A: The probability is the occurrence of all the observations in an event. Hence the probability of an…

Q: Compute the value of ( G. dL for G = 2ya, with A(1, -1, 2) and a) straight-line segments A(1,-1, 2)…

A: Given the line integral ∫APG·dL for G=2y,0,0 with the initial point A1,-1,2 and P2,1,2 using the…

Q: 2. Let z₁ and 2₂ be two distinct points in CU{∞} that are symmetric with respect to a circle I.…

A:

Q: show that if Gòe connected grapht that is mot complete, then contains two vertices u and v such that…

A: This problem is related with graph theory. Here, we have to show that if G is a connected graph that…

Q: 1. Prove the below statements: A. K7 has 21 edges. Use the theorem. B. C6 is bipartite, but C5 is…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: The distance from the point K(3, -2, 0) to the az- plane is Select one: O-2 O √13 O 0 02 O None of…

A:

Q: Question No. o6: Evaluate the where C is yectangle ahere vertices (o,0)> (x,0), (x.%), (0 , %).

A:

Q: Prove: MA | (eahinlugnollipo)-3:(algm 41. Given: dirw 2ols Isosceles AMNP Ow with vertex P Isosceles…

A: This, can be proved by congruence rule

Q: give an example or prove it doesn't exist j. an orientation on K44 which contains no sources or…

A: The given statement is,  An orientation on k4,4 which contains no sources or sinks but is not…

Q: The set of North-East lattice paths start from (0,0), end at (n-k, n+k), and they do not go below…

A: Given below clear explanation

Q: Find the number of paths of length 2 from a to c in the directed graph give a b d a 3 b|1 2 2 1 c| 2…

A: Given that,  The matrix representing the directed graph is    abc  dabcd0230122121101002

Q: If countries in the Southeast region are consisting of archipelagos then other foreign countries…

A: Euler diagram is a general diagram giving meaningful information about things that are related to…

Q: 3. Determine the classification of the quadrilateral: Vertices are (0,0), (5,2), (10,10), & (0,6)…

A:

Q: Consider AJKL below. L(-4, 3) J (6, 1) K(-2, - 5) Note that AJKL has vertices J (6, 1), K (-2, -5),…

A: topic - coordinate geometry a segment that joins the midpoints of two sides of a triangle is…

Q: 8S lt G be the directout graph in Fiy(6-7), Fig(6-7) Vs @ Find two mple paths from Vi tovr. Is…

A:

Q: P(5,3) Sinh (폼+북) x +1oydy (6xdx +10ydy 5 C0,0)

A: To show: The line integral is independent of the path. Given integral:…

Q: Let E be the tetrahedron with vertices (0, 0,0), (1,0,0), (0, 1, 0) and (0,0, 1).

A: we have to compute the volume integral

Q: Suppose G has V vertices and E edges. Let M and m denote, respectively, the maximum and minimum of…

A:

Q: Theorem 2.6.9. If P and Q are two points such that P + Q, then there exists a point R such that P,…

A: Axioms used: 1. There is one and only one line that contains two distinct points. Given: Theorem…

Q: 5 Compute the valuc of G.dL for G= 2ya, with A(1,-1, 2) and P(2. 1. 2) using the path: (a)…

A:

Q: 2.) Use the chain cule to find dz and d ond guen the fllowng: Yoy must show in work that your the…

A: We have to find partial derivatives.  Concept:

Q: 3. DETERMINE THE UOLUME OF THE REGION BOUN DED ABOUE BY THE PARABOLOID Z=2-x²-y BY THE CON E

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Q: Theorem. For every m E N and graph G = (V, E), if: %3D • Every vertex v E V has d(v) > m then: •…

A: We prove the given statement by induction on m. Assume that m=1. Given that every vertex v has dv≥1.…

Q: Answer each of the following. If there are 8 distinct points on a plane with no three of which are…

A: Given,Total no.of persons=8

Q: a) Find the number of walks of length 3 between each distinct pair of vertices. b) There is 1 walk…

A:

Q: A chow that the wsonskian d es will neves become zex0 to8 all spal

A: Here we use the fact ex> 0 ,for all real x.

Q: 7. a, By using the theorem of Havel and Hakimi decide whether there exists a simple graph with…

A: According to Havel and Hakimi algorithm  the non increasing  sequence of degrees of vertices…

Q: a. Show that K5,6 has a path containing all vertices in the graph. b. Explain why K5,6 is not…

A: Hamiltonian graph - A connected graph G is called Hamiltonian graph if there is a cycle which…

Q: 3. Provide a graph (aside from the examples in our class discussion) that has an Eulerian path.…

A: Solution:

Q: Glven APQR with vertices P(2, 4), Q(5, 8) and R(9, 5). a. Show that APOR is isosceles b. Show that…

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Q: => For The Wbech Ualuo of E doas the Martrix イK %3D have one roal eaomalue of Mutiplicty?? k =

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Q: Let F(x, y, z) = (z, x, y), ar (0,0,0), (0, 1, 1), vertices are ar

A: Introduction: Stroke's theorem is simply a higher-dimensional version of Green's theorem. The line…

Q: 3.2.21. Draw a connected path starting at (0,0) that, if continued, would pass through all of Z ×Z.

A: The connected path is a continuous mapping in which a continuous image is formed. In other words,…

Q: The work af the veeken fieled aleng the edge y the set Path one Hime in an onti -elockwise wes Ast 2…

A: Given : vector field F→x, y=x-y2, x+y2 and set D=x, y∈ℝ2 : 1≤x-32+y2≤4 , y≥0 To find : the work of…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.