evalieante the folliwing innegratin ni fullowing dif Path C I'm 2 fo,1). (3,!) -3 -2 -1' pathz path! Re (3,-2) path3 | f(2) dz where f12)= O. Does fl2) match Cauchy, - Riemami Zgas C = path I け cosオ + ISint. オニ。 Lith 2 3+3 3+ las A +. I Si4 t ® now, flz) becomes fle)= repeit calcu late cinjugatie

Q: Let f (2) = z2 + 12 + 18ė a complex function. What is the image of the line x = 2 A straight line A…

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Q: bijection

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Q: 10. (i) Find the range of values of x for which (a) <-1 2x - 1 x + 2 (b) 12x – 4| <x +1. (ii) The…

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Q: If f (x) = x2 + 2x + 1, find f (x +1). O a) f (x + 1) = x² + 2x + 2 O b) ƒ (x + 1) = x² + 4x + 3 O…

A: Given f(x) = x2 + 2x + 1

Q: #1 part j

A: For question 1 part j: To show that for real values x, y If 0&lt;x&lt;y then 0&lt;1y&lt;1x

Q: QI: using the Bairstow's method to find a complex root for f(x) = 50 – 8x - 62x + x*, where (x2) is…

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Q: b) Determine whether the given function is a bijection from R to R. f(x) = (x+ 65)/(2x + 65)

A: Let us consider a mapping f: A→B then the function is said to be bijective  f is one one  function…

Q: Delereine he real and inaginay parts of the Eellowing complex Funchio (b) e

A: Introduction: A complex number has the formula a + ib and is usually represented by the symbol z.…

Q: Use the function to find the image of v and the preimage of w. T(V₁, V₂) =(√² V₁. √2, - V2, V1 + V₂,…

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Q: Z Show that the complexfunction f(z) = ² +4 Z(Z-21) have a removable discontinuity at z=2i

A: Note:- This function does not have removable discontinuity at z=2i.   Given complex function  fz =…

Q: 2:31 AA A learn-us-east-1-prod-fleet01-xythos.c C Section 3.2 Homework (from the 5" Edition) 1. Let…

A: 1.(i) we have x,y and z ∈R           and R  is a feild with respect to addition and multiplication…

Q: Given the complex-valued function 1+z z² Evaluate f (¹) (A) -4-3i (B) - f(z) = (C) −¹+²i (D) none of…

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Q: 52 f(x) = 1 + 2[[x]

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Q: Show that f(x) = 3x - 5 is a bijection.

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Q: Using Cramer's rule find the x, y and z 2x-y+3z=-3 3x+3y-z=10 -x-y+z=-4

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Q: 10 - Which one is the highest order Lagrange polynomial of the grids below? Xị Yi -2 3 1 -1 x2—9х-8…

A: We have to solve given problem:

Q: Q2] A complex valued function is given as in the following. = 2x2 + j2xy Write this function in…

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Q: Using Taylor's theorem, formally represent 2x° +x* – 3x³ +x² – 5x +1 as x+1.

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Q: Show that f(x) = 3x - 4 is bijective.

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Q: Let a, is the first and a2 is last number of your ID number, respectively. Write a function f(z)…

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Q: f(x)=x2-1 g(x)=2x+1 prove if the following functions are onto prove if the following functions…

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Q: Which of the following functions do not form a set of fundamental solutions of y"-4y C Select one:…

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Q: P1=(x1,y1,z1) and P2=(x2,y2,z2)  prove that distance of P1 and P2 ; |P1P2|=((x2-x1)2 +(y2-y1)2…

A: Solution: The objective is to prove that the distance of P1 and P2   |P1P2|=((x2-x1)2 +(y2-y1)2…

Q: Determine the domain of a) ({x|x-1xR}) x-4 2x+2 f(x)=; ({x/x = −1,x = R}) c) ({x|x*1,xER}) Od) {x/x…

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Q: Let z be a complex number and f(z) be any function. If C is a closed contour then Im. f(z)dz is $.…

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Q: if z=x+iy find real x and y such that |z+3|=1-i(z-2)

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