Each student should evaluate each residue, then comment on other students' answers either by agree or do not agree. If you do not agree, explain why? dz For the complex function Sc (z²+1) (z²+9) Determine the Residues: Res (f (z), i) Res (f (z), 3i)

Q: T([²₂]). T: R² R³ by T = -X1 2x1 + x₂ 3x12x2. e can write T() = A where A =

A: Matrix of the linear map

Q: Find the coefficients of x from the expression (x2 – ) 5 3) 10 - X.

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Q: 4. Consider the following function: P(x) = x – 10x + 25x3 (a) Find all zeroes of P. (b) Determine…

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Q: If z = 1+ 2i and w = 3+ 4i, express the following in the rectangular form: (a) 2|w| +(1 – i)2² w + z…

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Q: 7. Determine the roots of y4 + y"" −y" -y+1=0 a. 1,-1,1 b. 1-1,-1 c. 1,-1,2 d. 1,-1, -2

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Q: Fill in the table below: Hint: Start by finding and y, and then complete the table. y-y (x − x)²…

A: The missing values for the table given is obtained below as follows: From the information, given the…

Q: Solue the following equation by using Cramer's rule x₁ - x₂ + x3 2x₁ + 33₂+ 4x3 6x₁5x2-723 = 13 20 =…

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Q: 4. Consider the complex number w = 3cis (5). For which value(s) of k is x – wa factor of the…

A: I am going to solve the given problem by using some simple geometry to get the required result.

Q: Write the following equation in standard form by completing the square. x2 +9y2 + 10x - 18y+ 25 = 0…

A: Important formula:-

Q: Let f(x) = - 32x – 20z -31¤ – 4. Divide f(x) by 4x + 1. Identify the quotient and remainder.…

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Q: ...=AxB|^2| JĀ X B|? al . B= 2ī + 27 – 2K 3Ā = -i- 35 -k JS là

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Q: Which of the following expressions simplify to 4x? y? (4xy) (4x) (&xy²) (2r°yz) y(2x²y)

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Q: [2 -1 1T If A = 0 2 find A? li 11

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Q: Determine the branch points of the function below in the complex plane: g(x) = and explain why %3D…

A: g(x)=11-x6

Q: Let a=-1, b=1 and c=-1. The quantity -ac ae* + be¬x can be written in the form witanh(x))z for…

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Q: 9. For f(x)=sin(2x+1)+2: (a) Complete a table of values for the "key" points. (c) Write a mapping…

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Q: (NO Calculator) Which of the following functions could repr. the xy-plane, where y = P(x) ? A) P(x)…

A: Here we have a function that could represent the graph in the xy-plane, where y=p(x)

Q: giv component förm Find (-2, 7) (6, -9). o/O (0.0)

A: We apply formula <a1, b1> . <a2, b2> => < a1.a2 , b1.b2>

Q: Use the given zero to find the remaining zeros of the function. f(x) = x4 - 21x² - 100; zero: -2i X…

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Q: - Find the zero and its order for the function f(2)=1-Ti+Z+e.

A: Note: If W is the Lambert function then Wxex=x

Q: can you expline this step

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Q: L{3e2tsin4t – 4e2"cos4t} 16(s-2) (s-2)2+16 4(s-2) a. (s-2)²+16 3. b. (s-2)² +16 12 (s-2)2+16 4(s-2)…

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Q: Simplify this expression. а. 3D - (D - d) b. i– (2 – 3i2) + iz 4 B+a+ 2B 3 - 2 4 B 3 - С. | 3

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Q: (z-1)²sin (dz (2-1) C:\z + 11 = 1

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Q: (Vx + Vx – Vx –

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Q: Write the the function f(z) = - 2 + 4r +1 in the form f(z) = a(z – p) +q by completing the s square:…

A: f(x) = -2x2 +4x + 1 f(x) = -2(x2 - 2x) +1