io Z = re r>00< OLLIT Let fiz). VF : { e Show that fiz is analytic in the region. and find fizi.

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Q: SHOE ALL THE STEPS

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Q: Find the eigenvalues and eigenvectors of the matrix -4 -15 3 9 -4 -13 6 - 1 4 From smallest to…

A: Find the eigenvalues and eigenvectors of the matrix .From smallest to largest, the eigenvalues…

Q: 1. Use contour integration to evaluate the following integrals dx (1+x²)³ · Sº i. x dx 11. 5. (x² +…

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Q: Let G be a plane graph, G* its geometric dual. Assume G has finite girth. Show by example that X(G)…

A: Plane Graph (G): A graph drawn on a plane such that no edges cross each other.Geometric Dual (G∗):…

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Q: The solution of PDE, p²-q² =−x-y ==²(a+x)³ +²(a+y)³ +C is

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Q: 7. Evaluate the integral ſ F(x, y, z).dr = ffs curl (F(x, y, z)).ds with F(x, y, z) = (4y, z, 2y)…

A: Given                                                               therefore                 the…

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Q: 13/ Find dy/dx, if x =2 sin (1+34), y=2+² when t = = =

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Q: This graph shows how the temperature of an oven changes over time. Temperature (°C) 0 10 20 30 40 50…

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Q: End (Z₂Zp) = M₂( Zp) (Verify).

A: Endomorphism Ring (End(A)): For an abelian group A,End(A) is the ring of all endomorphisms of A.An…

Q: (Triangle inequality) ∀x, y ∈ R : |x + y| ≤ |x| + |y|. Proof. Exercise. Use that |x| = max{x, −x}.

A: For all x,y  , we have to prove that |x +y| ≤|x| +|y|.

Q: Let 2 -8--8 and y = -4 Use the Gram-Schmidt process to determine an orthonormal basis for the…

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Q: 3.1-12. Consider the following problem, where the value of c₁ s not yet been ascertained. Maximize Z…

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Q: D 3.2-5. Use the graphical method to demonstrate that the follow ing model has no feasible…

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Q: Problem 0.0.1. Find the optimal solution of the following linear programming problem using the…

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Q: (R) Reset Calculator Skip Stage Question 50 You went to the doctor. There are 12 patients waiting…

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Q: fk (x) = fk (x) 9k (x) = { 9k (x) = = = sin x k X 1+kx² if |x ≤ k if |x|> k. ((-1²) c -) cos(kx)

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Q: 3.) The two graphs given in the sketch to the right are f(x) differentiable at x = 2. Find lim- x+2…

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Q: Part(b)

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Q: 5.) Show that there is only one group of order 1001. og of order 99

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Q: D 3.2-6. Suppose that the following constraints have been pro vided for a linear programming model.…

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Q: Let G be a simple graph with n vertices and k connected components. Find the maximum and the minimum…

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Q: P= Let A = -38 70 105 7 15 20 27 -5 -10 Find an invertible matrix P and a diagonal matrix D such…

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Q: 8 Let W be the set of all vectors y 5 + x + y with x and y real. Find a basis of W

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Q: 6. Encuentre la derivada direccional de (a) f(x, y) = 3x² – 2y² en (-3,0) en la dirección de P(-…

A: Directional derivative of a function at the point  in the direction of  is .Here,  is the gradient.

Q: H.W_2: Consider the characteristic equation of a system: S6 + S5-254-35³-7S²-4S-4 = 0 Use Routh-…

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Q: D,I 3.1-6. Use the graphical method to solve the problem Maximize Z = 10x₁ + 20x2, subject to -x₁ +…

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