What is the total degree of an undirected graph that has 5 vetrices and 20 edges ? a. 5 O b. 10 O c. 20 d. 25

Q: Test the series for convergence or divergence. 6 6 6 -- + 79 11 6 13 + 6 15

A:

Q: Use the variation of parameters formula to find a general solution of the system x'(t) = Ax(t) +…

A:

Q: Let A = LU be an LU-factorisation of A obtained by applying EROS to A. Select all of the statements…

A: The given matrix is A and its LU factorization is A=LU. The objectives are to check whether the…

Q: Find th Velocity o farocket by using Bessel formula (Stirli formula). at t= 150 sec. 126 180 60 300…

A: Stirling's formula: yp=y0+p⋅Δy0+Δy-12+p22!⋅Δ2y-1+p(p2-12)3!⋅Δ3y-1+Δ3y-22+p2(p2-12)4!⋅Δ4y-2+... Here,…

Q: Which vertices are leaves? e C g q r Z W

A: A vertex of a tree is called a leaf if it has no children

Q: T2

A:

Q: Determine the real root of f(x) = 5x³5x² + 6x-2 using bisection to locate the root. Employ initial…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: 11. Let u a. =(4,-4√3) and v = (-3,6). Find -2u + 5v b. Find the magnitude and direction of u. c.…

A:

Q: What is the total degree of an undirected graph that has 5 vetrices and 20 edges ? a. 5 O b. 10 O c.…

A:

Q: Bertrand Russell was a mathematician and philosopher who discovered an issue with Na¨ıve set theory.…

A: Russell's Paradox: There is no set of all sets.  In other words, if we make a collection of all sets…

Q: 4. Find combined mean from the following data ¯¯¯X₁ = 210 n₁=50 X₂ = 150 n₂ =100

A:

Q: a) Find all values of a so that polynomials f = 4t-a and g = 5t-6 are linearly dependent in P₁.…

A: We can find the value of 'a' for which the given polynomial is linear dependent.

Q: Suppose a1, a2, ... > 0 and bn 1 bn diverges. n=1 a₁+a2++an Prove that n

A:

Q: [1] Use Cholesky factorization to compute the factorization of the matrix A = 4 2 2 2 62 22 5 2 then…

A:

Q: Yang's Material Company hauls gravel to a construction site, using a small truck and a large truck.…

A:

Q: Graph G is defined by the arrow diagram below. 3 2 What is the in-degree of vertex 2?

A: Given Graph is Degree of the Vertex: The degree of a vertex is the number of edges connecting it.

Q: 16. Evaluate the following prefix expression: +*/ 6 2 3 12 5 3

A:

Q: A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the…

A: Given:                Length of the bar L=3 meters is situated along the x axis so that one end is…

Q: √√3+ L a. Convert z and w into exponential (re) or polar (r(cose + i sin e) forms. b. Find zw in…

A:

Q: The maximum problem can be modified so as to be in standard form. Write the modified version,…

A: Solution :  Given  Maximize  :       P  = 3x1 + 5x2 + 4x3 + 7x4   Subject to  :       2x1 - 2x2 +…

Q: 13. How many edges does a tree with 6000 vertices have?

A:

Q: 3. y' = 2xy²,y(2) = −1 d

A:

Q: Using the least square estimation, find the parameters w₁ and ₂ for y = W₁X₁ + W₂X₂ to map the input…

A: Given, X=1224 and t=1326 We are asked to find the parameters, w1 and w2 for the solution…

Q: Let f(x, y) = x²-2 y.(y+4)

A: We can compute the determinant.

Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 4, b) a sum not…

A:

Q: Let p(x) = 5x + 4x³ + 3x² + 2x + 1 and 0 1 0 0 0010 0001 0000 A = Find the matrix p(A). What is the…

A:

Q: CAok fdt After breakdown into partial fractions, integration, and rearrangement, the final result in…

A: Given: ∫0XAdXA1-XAM-XA=CA0k∫0Tdt Simplify the given equation.

Q: Locate the first positive root of f(x) = sin x + cos(1 + x²) - 1 where x is in radians. Use four…

A: Secant's method uses the formula: xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn) to perform the iterations and…

Q: 2. Calculate the mean for the data X: f: 5 3 8 4 12 6 15 5 20 3 24 2

A:

Q: (2xy + 3y³)dx + (x² + 9xy²)dy = 0

A:

Q: Suppose that a, b R with a 0. Prove that [sz f≥ 0.

A:

Q: Solve the initial value problem below using the method of Laplace transforms. y" - 2y'-24y = 0, y(0)…

A:

Q: Let C = {X, Y, Z, W} be a code where X = 00000, Y = 01101, Z = 10110, W = 11011 are its codewords.…

A: Solution:                        1 dX,W=dY,Z      The complete  solution are given belowdX,W=…

Q: The Fourier transform of ƒ(t) is F(w) = 5e 7jw 2+ was org 8 Using the Convolution Theorem, find f(t)…

A:

Q: Evaluate the surface integral J F. ds for the given vector field F and the oriented surface S. In…

A:

Q: e C b r Z M

A:

Q: 4r 2 4s + 3 polynomial x¹ + x¹q+ ¹ + x²r + ² + x² Show that the 3 divisible by x³ + x² + x + 1,…

A:

Q: Solve 2(1 + i)x² 4(2-)x - 5 - 3/= 0.

A:

Q: Use the same notations as on Page 6 of the lecture notes: A is the coefficient matrix for each…

A: Given : System of linear equations : 2x1 - x2 + x3 = -32x1 + 2x2 + 2x3 = 4-x1 -x2 + 2 x3 = 1   To…

Q: 6) as an ice block melts, the note at which its moss M. decreases is directly proportional to the…

A:

Q: question)33 The demand curve for a certain product is given by p(g) = 540-q^2. The supply curve is…

A:

Q: [3] Let A = 2 −1 0 0 -1 0 0 0 2 -1 -1 2 -1 0 -1 2 V = V1 V2 V3 V4 i.e. v is some arbitrary vector v…

A:

Q: A random variable X has expected value μ = 100 and stan- dard deviation = 16. Use Chebyshev's rule…

A: μ=100σ=16 The probability is at least 90%

Q: Given 4 f(t) = {{ find F(w), the Fourier transform of f(t). Compute the values of F(0), F(1) and…

A:

Q: Let C= {X, Y, Z, W} be a code where X = 00000, Y = 01101, Z = 10110, W = 11011 are its codewords.…

A: Given Data: Let us consider the given data, (1) dX,W =dY,Z (2) The distance of the codeword X to all…

Q: Use row operations to solve the system. x + y- z=3 2xy + z = 3 x 4y+ 3z = 16 Select the correct…

A:

Q: 6. Let F(x, y, z)=2xy² + 2yz² + 2x²z. a. Determine the maximum directional derivative of F at the…

A:

Q: 9) of which of the following is the groph X² y = = A) 24 B) c) D) 24 ²4

A:

Q: ve the particular solution to the differential equation below, y' = 4xy + 12.

A:

Q: Given that C₁ is defined by the circle x² +(y-1) = 4 traced counterclockwise and C₂ be the trapezoid…

A: The two given curves are: C1: Circle x2+y-12=4 traced counterclockwise. C2: trapezoid connection the…