6. Show that when 0 < |-1|< 2, (z-1)(z-3) Complex Analysis (z-1)" 2+2 =-36 z−3) ² A=0 2(z-1)

Q: III. Consider the region R below bounded by the curves C₁: 2 - 4y = 4, C₂ y = √x-1, and C32 | 2y =…

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Q: 10. The inverse of the elements of A = {0,1,2} under a*b = (a+b) modulo 3 are A. 0' = 0, 1' = 1, 2'…

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Q: Question 4 a) Soive DE e —y"+y² + y =o 6) use the method of undermint coeffient to obtain the…

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Q: (4) Let A be a nonempty subset of a bounded set B. Why does inf A and sup A exist? Show that (a) inf…

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Q: using Laplace transforms y"-2y' +10y = 0, y(0) = -3, y'(0) = 0

A: Solution :

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Q: 12. Which of the following is submonoid of (Q, *) where a*b = ab? A. (Z, *) C. ({0}, *) B. (R+, *)…

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Q: Graph the function. state the domain range, and asymptote. please show work. y = 2₁4x Graph the…

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Q: 6. Let U = {2,4,5,6,8,9,10} Y = {yly = 0.5U} Enumerate: a.) P(X U (YOZ)) X = {x | x² 13x + 42 = 0} Z…

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Q: II. Evaluate the following integrals 3 4. ª \'²- - e\ + (e² + e) dx S x e 0 2

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Q: Find the join and meet of the zero-one matrices 0 A = [1] 1 B-[88] = 10

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Q: b) Let A, B, and C be nxn matrices and suppose that ABC is invertible. Which of A, B, and C are…

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Q: 3. Determine exact solutions for each equation on the interval 0 ≤ x ≤ 2π a) cosx +}=0 b) sin3x = 0…

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Q: Evaluate the following integrals 3 S- ª · |e* − e| + (e* + e) -dx e 0

A: It is known that: ∫eaxdx=1aeax+C. The absolute value function: y can be defined as: y=-y,y&lt;0yy≥0.

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Q: VII. Given a region R enclosed by the curves y = 1 + sin (F), 4 as shown below. (2,4) (2, 2) (-2,0)…

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Q: Q3) Solve the following boundary value problem using finite difference method given that d'y dy + +…

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Q: H K M 10 C Graph1 For items 46-48. Please refer to Graph 1 46.Using Brute Force Algorithm, how many…

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Q: 12. Which of the following is submonoid of (Q, *) where a*b = ab? A. (Z, *) C. ({0}, *) B. (R+, *)…

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Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

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Q: II. Evaluate the following integrals. - 1. S 1 – coth² (log₂x) x cosh (log₂ x) -dx

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Q: 5. If F(x) = a. F'(1) b. F(2), by interpreting F(2) as an area √4t-t² dt, evaluate the following:

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Q: 3.x+y+z=4 - x=y+z=-2 2x -y + 2z=2

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Q: Question 6 Obtain the power series solution of the differential equation y" (1+x)y=0 about the…

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Q: Q5) Solve the partial differential equation V²u(x,y)=x with the condit u(x,0)=0 , u(x,10)=0, u…

A: Using centered dufference formula for second order derivative.

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Q: Evaluate the following integrals. [³ 1 - coth² (log₂x) dx x cosh (log₂ x) 1.

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