Do your calculation in 4 decimal places unless specified in the question. Solve the following linear equations system using LU decomposition with Doolittle method. 13, 4.x1 + x2 + 5x3 26, 5x1 + 3x2 + 12.x3 29. 3.x1 + 4.x2 + 16x3

Q: a) Solve the following integral: = | v* dædy I = where the region R is: 1 { (2, v) E R² : < y² < 2r,…

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Q: 5. Let p be a prime. Prove that the group (x, y|x' = yP = (xy)P = 1> is infinite if p> 2, but that…

A: The given group is &lt;x,y  xp=yp=xyp=1&gt;. To show: if p&gt;2 then order of the given group is…

Q: Determine whether the series (-1)*-1 . converge, diverge absolutely or k³ +4 k-1 converge…

A: Convergence of the series

Q: For the weighted voting system [12: 8,6,5,3]: a. List all coalitions; identify which are winning…

A: Given weighted voting system [12: 8, 6, 5, 3]. a. To list all coalitions and identify the winning…

Q: Example 10.19. Apply Milne's method, to find a solution of the differential equation y = x - y in…

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Q: . There are seven finalists for the Math contest, and medáls Will be giv many ways are there for the…

A: The act of organizing items or numbers in order is known as permutation. Combinations are a method…

Q: b) 2f(x) 10. For the following functions, identify all asymptotes. (Vertical asymptotes and…

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Q: 4. Let R be endowed with its standard topology. Let A be a topological subspace of R. a) Is {3} open…

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Q: Calculate x²z ds, where S is the cylinder (including the top and bottom) x + y = 16,0 < z < 5. (Use…

A: We can solve this using parametric equation

Q: D is some triangular domain in the xy-plane with area equal to 9. S is the triangular area that is…

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Q: y"(t) – 6y'(t) – 2y(t) = 4 cos 2t – 4t³; y(0) = -2,y'(0) = 3

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Q: Find the flux of F across S, F.N ds where N is the upward unit normal vector to S. F(x, y, z) = 8zi…

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Q: 10. A five-member committee is being formed from a group of 9 sophomores and 12 seniors. How many…

A: This is basic problem in counting. The detailed solution is presented below as the next step.

Q: Q4/Solve the following Assignment problem using the Hungarian method 1 2 JI 8 3 J2 5 1 J3 6 0 J4 8 3…

A: Step 1. Determine pi , the minimum cost element of row i in the original cost matrix, and subtract…

Q: What is the differential equation of the solution y= Ce + C2e + C3e1 + C4e-13? 7 Differential…

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Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³ (6t)

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Q: Find the flux of F across S, F.N dS where N is the upward unit normal vector to S. F(x, y, z) = xi +…

A: The given integral is ∬SF·N ds , where S: z=a2-x2-y2  and F(x,y,z)=x i^ + y j^- 2z k^ .....1. To…

Q: 1. In how many ways can eight people be seated at a round table? In how many ways can eight keys be…

A: We will use concepts of combination and permutation  to get the solution

Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c…

A: Please comment if you need any  clarification. if you find answer useful please put thumbs up. Thank…

Q: use Lagrange multipliers to find the maximum and minimum values of f(x,y,z) = 4y −2z subject to the…

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Q: 1+ax dx Evaluate log 1-ax x 1-x

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Q: R+j@L anc

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Q: Let B be the basis of R? consisting of the vectors and let C be the basis consisting of Find a…

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Q: 1 n+n cos? n n-1 IM:

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Q: the topology 7, = {X,ø{a},{b,c}} 1; = {Y.ø.{u}} B={X ×Y,6.{(a,u}…

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

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Q: (a) Using the following transportation model shown in Table Q4(a) below: Table Q4(a): Transportation…

A: Find Solution using North-West Corner method   D1 D2 D3 Supply S1 11 13 17 8 S2 16 18 14 6…

Q: Suppose you know that for land i 4 thc output is 1. What type of logical gate is in the "box ?

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Q: # 4 Assume that the solid has constant density k. Find the moment of inertia about the z-axis of the…

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Q: 3. Let the curve C be traced by the vector-valued function R(t) = cos(zt) î + at j+ sin(rt) k. %3D…

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Q: d?x 1. +* = 0, dr? x(0) = 1, x'(0) = 1; x(0) = , x'(0) = -1 %3D

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Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

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Q: 6. Can you see any seasonal pattern here? Year Quarter Expenditure 1 9.4 2 7.54 1 3 2 4 4.69 9 2 8.2…

A: Given,A tabular representation showing the expenditure in three different years quarter wise.We need…

Q: Two groups of students are given a problem-solving test, and the results are compared. Mathematics…

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Q: 5. Let p be a prime. Prove that the group (x, ylx' = yP = (xy)P = 1) is infinite if p > 2, but that…

A: The solution which makes use of matrix theory is presented in detail below.

Q: Q1: Find a matrix P that diagonalizes A , and check your work by computing P-'AP ; [2 0 -2 1) 4 = %…

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Q: Q3/Solve the differential equation 2dy + 5 = e2xsinx )

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Q: You decide to Contribute to amutuof fund that loutrifide. 4.6%. returm pen year. q you averinger…

A: Solution:   Part (a) P = Quarterly contribution = $425 n = 10 years*4 = 40 Quarters r = Quarterly…

Q: Question 9 The general solution for the DE y + 4y=tan(2x) is given by cy=c;cos(2x) + czsin(2x) + =…

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Q: Given angle PSR is 90 degrees. calculate the sum of x and angle QSR in degrees. [Image 12 28 65° O…

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Q: JO find onthononmal bases:(Using 2 3 %3D 1 O'5 V2 = 2 0:2 1

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Q: frunction Vercaty the u Cmiy) = verity the eelen's thertem Lore

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Q: x"(t) – 4x'(t) + 4x(t) = 4e2t; x(0) = -1,x'(0) = -4

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Q: Example 10.28. Solve the differential equations dy = 1+ xz, dx dz - xy for x 0.3, dx using fourth…

A: we need to use runge-kuta fourth order method.

Q: Show that conversely the given relaution implies that n Ly.show that this may not hold If x is…

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Q: z= 2e'+i

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Q: L{te2t sin t}

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: ハ-yャメー つ リ

A: Solution 3: Given differential equation is y¯=1-y+x2⇒y¯+y=1+x2 We can write it as (D+1)y=1+x2…

Q: Write the KKT conditions and find the optimal solution (x,y) for the following problem. Minimise 2x…

A: Given that,                Mini     2x-y2+2ysubjected to     y=-3x,                           x≤1,…

Q: Use induction to prove that for every n E N, we have 5" = 1+ 4n (mod 8)

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