Find a branch cut for √z(z-1) that is analytic in C\[0, 1] and takes value (a) √2 at z = 2; (b) -√2 at z = 2.

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Q: Prove that gcd(a, b) divides gcd(a, bc). Prove that if gcd(a, b) = 1, then gcd(a, bc) = gcd(a, c).

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Q: Find the image of the following set under the map w = sin z (b) S = {-1 0} (a) S = {- <r<,0<y<1};

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Q: (P₁ V P2)→q ¬(P₁ V P2) V q = (P₁ AP2) V q = q V (P₁ AP2) = (qVp₁) ^ (q V-p2) = (P₁ Vq)^(-P2 Vq) =…

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Q: Current Attempt in Progress Without a calculator or computer, match the formulas with the graphs in…

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Q: Exercise 1.3.2. Here is a paraphrase of the exercise. Suppose that and y are real numbers. Show that…

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Q: 1) DERIVE THE FORMULA FOR COS'Z

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Q: 9. In the Fig. 12.22 LMN and OMN are two triangles on a common base MN such that LM = ON and OM =…

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Q: 2. Write the set {x E QI x ≥ 15} in English.

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Q: ū= 1-j+K 13 13 13 √ = 2 i + j - 2K W = i +2j-K

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Q: 22. :-29-23²-x²y + 16 z = 2Y

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Q: Let A be a 4 x 5 matrix. If a₁, a₂, and a are linearly independent and a3 = a₁ +4a2, a5 = -3a1-a₂ +…

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Q: Solve the system X1 X2 X3 X4 || 5x1 -X1 4x1 3x1 +s -4x2 +x2 - 3x2 - 3x2 +4x3 +3x4 +2x3 +2x4 +6x3…

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Q: 1. If the probability density function is given by f(x)= kx² (1-x¹) = 0 Find (1) k, (11) (1) 0≤x≤1…

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Q: 21. a²uxx = ₁; u₁(x, t) Unti u₁(x, t) sin Ax, λ a real constant = sin(xx) sin(at), u₂(x, t) =…

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Q: Problem 2. Find the order of each of the following elements in (Z540, +540). 1. 20 2. 18 3. 135

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Q: For what value(s) of b can 1] be written as a linear combination of 1 2 {[3]} b 5

A: Let A=12b5Let 13=x1b+y25    Suppose 13 is linear combination of columns of A

Q: 13. Prove that if the sum of digits of a number is divisible by 9, then so is the number.

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Q: The vectors 2 -0--0 V -2 -3+k 1 3 -8 are linearly independent if and only if k # W 2

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Q: GRAPHICAL METHOD Determine the values of the variables using Graphical Method (Isoprofit…

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Q: Use Euler's method to approximate the solutions for the initial value problem: y' = cos 2t + sin 3t,…

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