1) Write the adjacency matrix of G 2) Enter your adjacency matrix on Pari (or other software) and use it to calculate the number of paths of length 10 starting at the vertex 1. How many of these paths end at vertex 1? Vertex 2, 3, 4, and 5?

Q: Solve the integral equation: y (t) = 1 – S (t – T) y (T) dr O y (t) = cos t O y (t) - cos t O y (t) ...

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Q: Show complete solution using row operations. Use variable "s" to denote a free variable in case it e...

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Q: Solve for the Laplace transform of e2t sint cost cos 2t cos 4t 1 s-4s+20 s-4s+68 -4s+20

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Q: A contract calls for a payment of P 1,200 at the beginning of each month for 12 months. At what rate...

A: We will use basic knowledge of the compound interest formula to answer this question. 

Q: In how many ways be keo arrangedn ciscle? O that 15 cars many ways 15 of 20 cars a 9. can be soladou...

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Q: 1) Consider the set X = {x E R* / 93x1 + 34.x2 + 26.x3 + 18.x4 < 131, x1, X2, X3, X4 E {0,1}}. (a) S...

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Q: 1. Solve for the series with center at 0 (Present up to 6th term): 1.1. ex 1.3. sin(x? – 1) 1.2.금 1....

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Q: Note: Solve all items until reaching a tolerance of 1æ10 5 or lower 1. Using the Newton method evalu...

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Q: Determine which choice best shows 2) A. V V V V V V V V 11 C.

A: Fractions

Q: [13 17 61 B =|-1 -4 2 -2 31 19 C = 20 -4 -1 3 -11 12 2 A =5 2 7 -9 10 2 2 -5 -3 -11 1 -10 -3 -6 2 18...

A: Solution

Q: A company plans to purchase a large piece of machinery with $5385 semi-annual payments for 41 months...

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Q: solve for the unknown terms by the method of: 100 100 100 100 100 4 -1 1 X1 X2 X3 X4 X5 -1 4 -1 1 -1...

A: We used a, b, c, d, e for x1, x2, x3, x4, x5 respectively for simplicity.  

Q: а. Show that the set S of all symmetries of an equilateral triangle form a group under composition o...

A: We will be solving part (c) and (d) as mentioned. let S be the group of all symmetries of an equilat...

Q: Write the equation of the circle that has a diameter with the following endpoints: (-4,2) and (2,6).

A: Given that the diameter with the end points −4,2 and 2,6. We have to find the equation of a circle t...

Q: A palindrome number is a number that remains the same when its digits are reversed. For example, the...

A: We will be solving Q.4 as mentioned. A Palindrome number is a number that remains the same when its ...

Q: 438. Given two complex numbers: following arithmetic operations with the complex numbers: u*v=C+jD; ...

A: Given  u=18+j8 and v = 13+j 8

Q: n° +3 1. For the function f defined by f(n) = (Use the Ad-hoc Calculations method).. for n e N, show...

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Q: Learning Activity 3 Solve the following by inspection (using graph), and justify the method of solut...

A:   Max Z =   5 x1 - 6 x2 + 3 x3 - 5 x4 + 12 x5 subject to     x1 + 3 x2 + 5 x3 + 6...

Q: y(t) = L** [o-* (7-3) +F(25 - 3) * s(2s – 3) 6. 9

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Q: For each of the following problems, perform these steps: • Write the dual problem for the problem as...

A: Dual Problem for the given LPP:   min z=5x1+2x2+5x34x1+2x2+x3≥12-3x1-2x2-3x3≥-6x1≥0,x2≥0max z=12w1+6...

Q: Choose from the list below the velocity field corresponding to the motion of an incompressible mater...

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Q: Question 1 -2 2 -3] Find the Eigen values of the matrix A = 2 1 -6 -1 -2 Also, prove the following p...

A: Since there are Multiple question we solve the  first one. Post the question again and mention the q...

Q: Application of s-Shifting, find the transform. Please answer 34-36

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Q: Solve the following  complex numbers in their rectangular form. Use  4 decimal places  for the compu...

A: We have given that, z1 = 4 - 2i  , z2 = 3 + i  , z3 = 1 + 2i We need to find , cosh1 + 2i We know th...

Q: Sketch the cardioid r = 3 cos 0 and find the coordinates of the points on the cardioid where the tan...

A: Given polar equation is r=3cosθ

Q: Prove the following: If 0 < a < b, then lim,∞ (a" + b")" = b. %3D Civen L

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Q: Graph the exponential function. Plot five points on the graph of the function. Then click on the gra...

A: given function  fx=125x claim- graph the exponential function, plot five points on the graph of the ...

Q: For what value does the integral cooverge? When the inteqal does coamge , what is its valve ?

A: Introduction: When the integrand is discontinuous at any of the limits of integration, the integrati...

Q: The error is numerically computing the integral | 1 dx using the +4 trapezoidal rule with two interv...

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Q: Solve the following using power series Frobenius method. Show complete solution. use X0=0. Capture y...

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Q: 8. In this problem we develop the rudiments of the theory of linear regression. Suppose that associa...

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Q: VZ1 (principal root)

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Q: (a) g: Zg → Z6 defined by g(n) = n 2. (b) g: Z6 → Z6 defined by g(x) =x €x. (c) g: Zs → Zs defined b...

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Q: Find the root of the following using the method indicated. E < 0.0001 1. f (z) = sin I +e - 2, xo = ...

A: Use the following formulae, to find the root of the function fx. Fixed Point Iteration Method: Rewr...

Q: Let w be a given complex number. In this problem, we aim to outline the procedure for finding all so...

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Q: Find the Maclaurin/Taylor series of the following problems. Show your complete solution.

A: This is a problem of Maclaurin's Theorem.

Q: 2. Determine the second derivative of f(x)= xe* at x = -2 with a step-size of h=0.50 using %3D Centr...

A: We can solve using centra difference formula

Q: 1- Find the first derivative of y with respect to x for the following functions: In5 7x y = log5 a -...

A: Introduction: When we differentiate a composite function, we usually follow the chain rule of differ...

Q: 1 Thirty-two men can reap a field in 18 days. If the field is to be reaped in 12 days, how many men ...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: f (x) = 2x-2 in powers of (x – 1)

A: The power rule of derivative states that ddx(xn)=nxn-1, where n is any real number. Differentiate th...

Q: solve for the unknown terms by the method of: 4 -1 1 100 X1 X2 X3 X4 100 100 100 100 -1 4 -1 1 -1 4 ...

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Q: Show that the function given by f(x,y)= x² + 3xy is differentiable at every poin using the definitio...

A: Introduction: Distinctiveness (differentiability) implies continuity. If a function is differentiabl...

Q: 0 < t < 1 1 <t < 2 f (t) = {-t + 3 2<t< 3 3 <t < 4 1 - t f(t + 4) a. Sketch the graph of f(t) in ran...

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Q: Permutations Use the permutations to solve the given problem. Explain your answer. Show your solutio...

A: Total no. Of options = Number of options for 1×no. Of options for 2nd and goes on

Q: III) ai + x2 – x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + x3 = 1 %3!

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Q: The block shown figure below is acted upon by its weight W = 200 lb, a horizontal force Q = 600 lb, ...

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Q: 2. Sketch the region Renclosed by the triangle with vertices (1, 0), (2,1) and (1,1) and find the vo...

A: 2) given points 1,0 , 2,1 , 1,1 find the volume of the solid generated by revolving R about the y-ax...

Q: You are asigned by your groue leader for the gathering of Important doata for your project in Mathem...

A: Given: At 1:00 pm, the angle of elevation of the sun is 80 degrees. Here the Length of the shadow s...

Q: Determine the center Z(S) of S.

A: This is a problem of Group Theory.

Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) =

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