a) Find the number of walks of length 3 between each distinct pair of vertices. b) There is 1 walk of length 3 between vz and v4. Find the walk.

Q: A The legih in pnefers of the fout sider f a building angx Cox- 5-9*, and Axt a. Calculate The…

A: Solution :   (a)   Total length around the building               = 3x + (6x - 5) + 9x + (4x + 1)…

Q: x3 – 2x2 – 5 = 0, [1,4]

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Q: Draw a bipartite graph with a vertex partition into the two sets {v1, v2, v3, v4} and {v5, V6, v7}…

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Q: 2.Use polar coordinate to evaluate 1 SS dA where Ris the region bounded 2 1+ x + y R by circles each…

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A: Using graph cos0=1cos(0-c)=-0.75cosc=-0.75c=2.4Approx

Q: p:I bought a lottery ticket this week. q: I won the jackpot on Friday. 3. Let p and q be the…

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Q: Consider the system x= 3x²+2y, y=ax2+ pxy+ yy². where B. and y are some constants. Choose values of…

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Q: In a standard deck of 52 cards, how many different four-card hands can be formed with at most 2…

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Q: Identifying Graph Components Use the graph G below to answer the questions. V2 V1 ei e2 V3 V7 ез ei1…

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Q: Q11. Suppose z = f(x, y), x = g(t), and y = h(t) satisfy: g(7) = 2 h(7) = -2 f2(2, –2) = 2 g'(7) =…

A: Solution

Q: 1. Solve forx: (7x+3) (9x - 33)° 4. Find m21. (6x-3)° (5x + 21)°

A: Solution-1:  Given that the angles are (7x+3)° , (9x-33)°  From given  diagram  (7x+3)° = (9x-33)°…

Q: 1. Pis a set of string of +'s and *s. f: P→P is a function defined as f(p)=*p* for any string p in…

A: (a) Let for any two string x and y in P,              f(x) = f(y)             => *x* = *y*…

Q: Numerical Analysis 2 Consider that, we have the following initial value problem: y' =y+t*e', 1sts2…

A: To approximate y(1.1) using Taylor method of order two with h=0.1. y'=2ty+t2et, 1≤t≤2, y1=0

Q: as the center of dilation. Point A(4, -9) is translated along the rule (x, y) - (x - 8. y+ 2). What…

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Q: Describe the graph of the equation. r = - 181 + (1 – 12)j + t k O It is a parabola in the plane x =…

A: We need to describe the graph of the parametric equation r=-18 i+(1-t2)j+t k.

Q: QUESTION 5 a) Find the order of each element in Da/. b)Is this group isomorphic to Z, for some n?…

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Q: (1, y' + 5y = f(t), y(0) =0, where f(t) = 0st<1 %3D t21

A: Solve the intial value problem using Laplace transferoms

Q: 3. Use the surface integral is Stokes' Theorem to calculate the flux of the curl of the field F…

A: Given field : F=x2yi+2y3zj+3zk    surface S is r(r,θ)=(r cosθ)i+(r sinθ)j+rk    0≤r≤1,     0≤θ≤2π

Q: Find a basis and the dimension of each of the following subspaces of R" a. W1 = v: u + v = 0 and u…

A: Given :  The subspaces of  ℝ3  are given as ; a)   W1 = { (u, v, w) : u+v=0  and u-2w=0 } b)   W2 =…

Q: Earlier on in the course when we discussed partial fractions, we discussed how polynomials with real…

A: Given that ∫1x2+α2dx=1αtan-1xα                (1) we have to calculate ∫0121x2-x+1dx We can write…

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Q: Let -5 -8 18 28 14 B = 19 12 10 24 17 (a) Find the reduced row echelon form of the matrix B. rref(B)…

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Q: Solve for the 4th determinant. (You can use any method)

A: The given 4th determinant is solved as shown below.

Q: 1.21 Decide whether each subset of R3 is linearly dependent or linearly indepe: dent. 4 (b) { | 7 7,…

A: decide whether each subset of R3 is linearly dependent or linearly independent. (a) 1-35 , 224 ,…

Q: Fined all eigen values and eigen vectors of the matrix and check that P'ẠP is diagonal matrix 8 - 8…

A: Solve A-λI=0 to find the Eigen values.

Q: In a gathering, each of the guests shook hands with everybody else. If a total of 378 handshakes…

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Q: Question 8: Find the volume of the solid bounded above by the surface z = f(x, y) = 2x+y and below…

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Q: Let S be the equivalence relation on {− 1, 0, 1} × {0, 1, 2, 3} defined by (a, b )S(c, d) if and…

A: Let A  = {-1,0,1}×{0,1,2,3}  i.e A=…

Q: Three cards are chosen at random from a deck of 52 cards without replacement. What is the…

A: We want to find probability of choosing a king, a queen, and an ace in order.

Q: 16. Consider the function z = f(x, y) = x² + 16y² + 4. (a) What is the domain and range of ƒ ?…

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Q: Three investors are dividing a piece of land worth $300,000. Each investor's value in thousands for…

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Q: Find the eigenvalue and corresponding eigenvectors of A =

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Q: Evaluate (107/137). You may assume without proof that 107 and 137 are prime numbers. Show all of…

A: Given legendre symbol is 107137.It is calculated as shown below.

Q: Q1. Let R be the region enclosed by the curve y = 3x+e4 and the lines x = 1, x = 2, and y = 0. Let S…

A: Given region R enclosed by the curves which are  y1=3x+e4xx1=1x2=2y2=0

Q: Write the statement in words if: p: Firemen work hard. q: Firemen wear red suspenders. 4) ~(q ⋁ p)…

A: We have to write the statement in words.

Q: 6. Given vectors spaces V with bases B and E and W with basis D and a linear transformation T:V→ W,…

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Q: etermine trigonometric coefficient 2 1 2

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Q: What does the Four-Color Theorem say, and what is significant about the way it was proved?

A: The four color theorem is a famous theorem in mathematics

Q: find the area under the standard normal curve from 0 to −1.62.

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Q: Q14. For each of the following convergent series, find its exact sum. Show all your work ! 3" +…

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Q: x3 – 2x? – 5 = 0, [1,4]

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Q: 6) Graph the transformation of the unit square using T(x) = Ax and A = 3 4 2.

A: Transformation of the unit square

Q: 9x2 + 24xy + 16y + 80x – 60y = 0 %3D

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Q: 6. Given vectors spaces V with bases B and E and W with basis D and a linear transformation T:V→ W,…

A: Sol

Q: Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of Rª spanned by #,…

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Q: 5. nts) Let v1,..., Un be vectors in a vector space V. Suppose w is another vector in V. Determine…

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Q: 9- If a person with O'Micron virus coughs, It will spread the virus in a spherical form, determine…

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Q: please send handwritten solution Q14 complete solution part a

A: Geometric series, find the sum of series