Find a) Ra Py for ū =|2 3

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A: Given ∮|z|=12z(z-z0)(z-14i)dz = -2πi

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Q: 3. (Laurent series expansions) Find the Laurent series expansions of the following functions in the…

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Q: 8. 2 -2 -4 -4 4 1 8. 1 8.

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Q: Find the determinant of the matrix, a b C 2d +a 2e+b 2f +c: ! where a f = 7. A) 35 B) 14 c) 7 D) 21

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Q: Q2 Let f(x) = 2x3 – 0.0064x² – 1.5x + la (a) Indicate that f (x) = 0 has a root in the interval [-3,…

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Q: (a) Find the volume of the region E bounded by the paraboloids z = x² + y2 and z = 24 - 5x2 – 5y?.…

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Q: f(x)= sen (2x) f(x)= sen (2x) On = 0 f(0n) = sen(2x0) = 0 = 3.9269 %3D %3D %3D = 0.7853 4…

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Q: 7. (Cauchy's integral formula) Compute the integrals (a) [z cos z dz (2² + 1)² 2:2 - 2z +1 (b) where…

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Q: Find the inverse of the matrix [: 3] Choices: -3 3 C. a. 4/3 1/3 1 3 1 b. -4/3 -1/3] [4/3 1/3]

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Q: QUESTION 18 parametric form. Find the general solution to the following linear system. Give your…

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A: Let ,  f : G → G  such that ,  fx = axa We know that , f : G → G  is a group homomorphism if and…

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A: Given, the function               9(4+x)3

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Q: -) Solve the following Cauchy problem: -00 0, u(x, 0) = 1, u4(x,0) = 2 – e¯*, -0 <x< oo. 4 uzz;

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Q: determined the area enclared by * 4ay = x, and y =X +8a 어 %3D 大 x2 4. 9

A: To determine the area enclosed by: 1. 4ay=x2 and y=x+3a 2. 94y2=9-x2 and x29=1-y29

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Q: 6. (Complex line integrals) (a) Compute the integral 2 dz where y is that part of unit circle which…

A: Using the parametric equation of the given curve for each line integral.

Q: 22 The cost of producing x units of a product is described by C(x) = 100 + 40x. What is the total…

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Q: Question 2 Find the solution. y" - 2y'- 2y = 0 @ y = c,ev3+c,e° V31 ® y = c,e2-v3)1+c,e(2+v3)1 © y =…

A: Since you have posted a multiple question according to guildlines I will solve first question…

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Q: 8. (Liouville's theorem, Cauchy estimates and the maximum modulus principle) (a) Suppose that f is…

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Q: Section 2: The Real & Complex Number System Solve the following equations or inequalities (x + 18) =…

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Q: 10 If $400 per month is deposited into an account earning 6.2% compounded monthly, the value of an…

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Q: Consider the plane, X, in Rº given by the vector equation: x(s, t) = (1, –1,2) + s(1, 0, 1) +t(1,…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…