what is a total dominating set ? And give examples

Q: 4. A line passes thru (5, 11) and cuts a right triangle with the coordinate axes in the first…

A: (1) Equation of a straight line passing through the point (x1,y1) is               y - y1 = m ( x -…

Q: The figure represents the top of a building, where AB AD. Find the area of ABCD in cm. * 11 14 A 7

A: Sol

Q: 1 Find the eigenvalue and eigenvector of matrix A = 1 li -1 3

A: Eigenvalues and eigenvectors are connected in linear algebra. Eigenvalues are a set of scalar values…

Q: Rn %3D *ーラ=)+ ニ x²+2 x20 puiy (日 an swere and 4) Find all x for which o>ズ x+S) working f (x) = 9).…

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Q: Because simple interest is used on short-term notes, the time period is often given in days rather…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: 1. y" + y = 0

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Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

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Q: An investor has $621,000 to invest in bonds. Bond A yields an average of 8% and the bond B yields…

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Q: w on ƏN and cos (|Du[²))ui + u(|Du|³ + 1) < –(2- :- cos (|Dw[?))wii+ w(|Dw|3 + 1) i=1 en u < w on…

A: Sol

Q: 1. Which of the following is false? * O If x > 0, then 1/x > 0. If x > 1, then x^2 > x. If x < y,…

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Q: terences of BOTH as be givern by log(Ci) +¿ 1og(C2). that (5, 10) and wB ring price and the…

A: Sol

Q: By considering different paths of approach, show that the function has no limit as (x,y)-(0,0). X…

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Q: 1.36 (a) Show that any set of four vectors in R2 is linearly dependent. (b) Is this true for any set…

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Q: 1. Given: A= 3 B = 1 2 1 C = 2 1 4 4 7 4 3 1 3 5 2 1 2 4 2 D = 1 E = 3 6. F 1 1 3 1 u = 1 v = -3 -1…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: vo perpendicular circles with centers at Oi and Oz respectively. Show that 2 coincides with the…

A: Sol

Q: [13 14 8 - 1 4 13 9 I Example 4.4. Using the partition method, find the inverse of A = 7 3 2 6. 5 16…

A: Given that A = 1314648-11396732951611 . We have to find the inverse of A by using the partition…

Q: d²x dx + 2 * + 5x = e-t sin t; dt [ = x(0) = 0 x'(0) = 1 %3D dt2

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Q: > ||X(jw)||, where ||x(s)||1 s)[ds and ||x(s)|| = sup|x(s)|. SER

A: Sol

Q: Find: 2. fx³jo(x)dx

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Q: ((V x F)(x)) u = 1 lim r-0 Tr2 F. ds, he circle of radius r in R3 centered at x lying in the plane…

A: Sol

Q: dx2 dx 4. Evaluate L(sint - cost)?.

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Q: What is the chromatic number of the given graph?

A: We have to find the Chromatic number of the given graph.

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

A: Double integration by using polar coordinates

Q: An animal has an initial population of No. From that initial population count, it grew to 705…

A: For population growth we can use logistic model of growth , Where growth depend on  current…

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. а 3 (6, 2, -2), ь 3 (о,…

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Q: sinxcost ; 00 = 0, u(pi/2,t) = 0 ) =0, ut(x,0) = 0 %3D 00 = u. - sin x cos t, : u(0, t) = 0, E u(x,…

A: Sol

Q: Example 6.9. One entry in the following table is incorrect and y is a cubic polynomial in x. Use the…

A: y is a cubic polynomial in x. We can use difference table to solve

Q: 1. For the matrix game A, 1 2 3 4 6 5 2 7 0 A = 1 1 8 (a) Compute P's security level for X1 = (3,3)…

A: Sol

Q: Spanning Trees Create 2 different spanning trees of the following graph.

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Q: Problem 4 The helix r(t) = (cos(at/2), sin(rt/2), t) intersects the sphere x2 + y2 + z2 = 2 in two…

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Q: (x – 2)² – In x = 0, [1,2]

A: The given equation is x-22-ln x=0 the formula for the secant method is given by…

Q: Use false position methodto find the solution to the following within 10−6

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Q: tion z2 – (x2 + y2)2 and let p = (0, 0, 0). ermine the set Tp(Zf ) of all tangent prs to Zf at p. Is…

A: Sol

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Let f be a function defined for t 2 0. Then the integral…

A: We have to apply Laplace transform.

Q: Adjacency Matrices Find the adjacency matrix for G. V1 V2 es ei e2 e6 V3 V4 e4 ез V5 G

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Q: Find all the roots of the given function . use preliminary analysis in graphing to find good initial…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: d?y 2y+y = x²e3x dy 1. Solve by D operator method dx2 dx

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Q: Find the 3rd degree interpolating polynomial by Newton's backward formula X f(X) Af(X;) A²f(X;)…

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Q: T(E,)n T(E) = {0} and T(E,) + T,(E,) = F. %3D Show that T(E,) and T2(E2) are closed subspaces, i.e.…

A: Sol

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: f(5.7) of the following table by using Finite differences is 1 2 4 y 1 6. 82 177 264.612 .a 284.712…

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Q: Slhow that for n > 2, 1 n+1 2n k=2 Here, we write II=m ak to denote the product amam+1… an.

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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: 1. Solve by D operator method d?y - 2y+y x2e 3x dx2 dx Solve bu

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Q: Which of the following is always true for any real numbers x, y? For real ɛ > 0, if |x-y| 0. m >n…

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Q: 16. Suppose we collect the following dataset Dy (0,1,1,0,1,0,1,1,1) cor- responding to a random…

A: Sol

Q: 15 Identify and record the for intervals (interval notation) and points (ordered pairs -- x,y)…

A: Sol

Q: (cos 20+ jsin 20) (cos 60+ jsin 60)1" (cos 30+ jsin 30)°(cjs 1000)

A: the given expression is cos 2θ+jsin 2θ5cos 6θ+jsin 6θ10cos 3θ+jsin 3θ9cjs 10θ Using De Moivre's…

Q: 1. Solve by D operator method d?y 2y +y x2e 3x. dy dx2 dx Solve by method of variation of parameter…

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Q: Find the arc length of the parametric curve. x = 7 cos(t), y = 7 sin(t), 24t; 0<t< T Z = L =

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