H.W-1:Find and sketch the sets in the complex plane given by (2) |Arg(z)< t/ 2

Q: This is question of Complex Analysis.

A: I am providing the solution of (ii) only as follows below :

Q: Find and sketch the sets in the complex plane given by (1) z – 3|+|2+ 3=10 IZ (2) |Arg(z)|< t/ 2

A: here we can use directly definition or properties of curve to find that which curve is represented…

Q: fl2)= (2+1)" Let z be a Complex number such thot earuations I(frz)) = 0 nd +-1. Howr many possible…

A: It is given that fz=zz+12 Let z=x+iy, therefore it follows:…

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: Ihe complex number z is defined by z = a + ib, where a and b are real. The complex is denoted by z*.…

A: Given: z=a+ib, z*=a-ib

Q: Let z be a complex number, f(z) be any function, and C be any contour. Then Sc F(z)dz+ S_cf(z)dz is…

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Q: Find the set of points z in the complex plane that satisfies each of the following (i) |z| = Rez+2…

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Q: Let z be a complex number, f(z) be any function, and C be any contour. Then Sc f(z)dz + S_cf(z)dz is

A: According to our guidelines, we can answer only one question. Also given question 1 is incomplete.…

Q: iree complex Z1 = 1- 2i, z2 = 6i, z2 = -3 -i. Compute the following, with your answer expressed in…

A: given that z1=1-2i,z2=6i,z3=-3-i find a)z1+z2z3b)3z2*-4z1z1c)z1z2*-3iz3

Q: Find and sketch the sets in the complex plane given by (1) z – 3 +|z+3=10 (2) |Arg(z)|< r/ 2

A: It is required to find and sketch the sets in the complex plane (1) z-3+z+3=10 Take z=x+iy Then…

Q: 2. Shade and describe in words the set in the complex plane: Determine whether the set is a domain.…

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Q: Let f (z) = z² + 3+11i be a complex function. What is the image of the line x = 10 A straight line A…

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Q: 1 A complex number is given by z: 1 + i. /2 V2 Using de Moivre's theorem, the value of z14 is:

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Q: the Complex Sketch plane the curve in given by. i) z' + z? -2.

A: The solution is as follows below :

Q: Find the set of points satisfying the equation in the complex variable z: |z* + 2i| = I(z − 3i)|…

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Q: 1. Let z and w be complex numbers. (a) Show that |1+ z w² + |z – w2 = (1+|z|?)(1+ |w/?). (b) Show…

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Q: 7. Let z = -3 + 5i. Plot the points z,-z,7,-ž and - in the complex plane.

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Q: evaluate ∫c +Im(2z) dz where C is a curve starting at −2, follows a vertical line to reach −2+i and…

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Q: Q: Find all complex numbers z satisfying the equation z +z |z|+|z =0.

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Q: H.W-1:Find and sketch the sets in the complex plane given by Re <1

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Q: H.W-1:Find and sketch the sets in the complex plane given by (1) z – 3 +|2+ 3=10 (2) |Arg(z)< t/ 2 1…

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Q: H.W-1:Find and sketch the sets in the complex plane given by (1) z – 3|+|z+3=10

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Q: skeich the curve in the complex plane ren by? 12-31=12+311

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Q: GIVEN: z = -11 – 6i, determine the following: 1. z-5 2. zā, graph the roots on the complex plane,…

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Q: ii. ?² + ?̅²= 2

A: I am providing the solution of (ii) only.

Q: 1.4 Describe and sketch the curve in the complex plane given by 21리 3 1z- 21. Also write your final…

A: We have to Describe and Sketch the curves in the complex plane given by 2|z|=|z-2| Also write final…

Q: Draw the set of points z on the complex plane such that V 2i · z is real. Explain your answer.

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Q: Find the set of points z in the complex plane that satisfies each of the following (i) z = Rez+2…

A: The complex number is expressed in the form of  Then the absolute value of the complex number is…

Q: 1.4 Describe and sketch the curve in the complex plane given by 2|2| = |2 – 2|. Also write your…

A: We assume z=x+iy then we put this value on the given equation to find the curve and from curve we…

Q: Which of the following represents the region of the complex plane defined by |z+1-2i| > 3? (A) (C)…

A: A detailed solution is given below.

Q: describe the set of points z in the complex plane that satisfy (a) E= 2-1 (b) z- i = 2 |2 - 1|

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: . Let complex numbers a and 1/a lies on circles (x – xo)² + (y – yo)² = r² and (x- x)² + (y – yo)² =…

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Q: The complex numbers z1 and z2 are connected by the relation 1 21 = 22 + -. 22 If the point…

A: Let z2 = x+iy Given points z2 satisfy: x2 + y2 = a2 Equation in the given question: Hence point…

Q: Question 7 Describe and plot the points z in a complex plane defined by the following region: A = {:…

A: z is a complex number. A=z∈ℂ:Reiz¯2&lt;3∩z∈ℂ:z+2i&lt;4

Q: Let z be a complex number and f(z) be any function. If C is a contour and Sc f(z)dz = 0 then

A: By cauchy theorem in complex integration:-

Q: Plot the points z = 3+9i and w = 7+5i on a complex plane ană find distance between

A: Plot the points z = 3+9i and w = 7+5i

Q: 7. (a) Shade the region in the complex plane defined by {z € C: |z+2+2i| < 2}. (b) Shade the region…

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Q: Let z be a complex variable, z=x+iy Deacribe graphically the region represented be the following:…

A: In terms of simplifying everything, let z=x+iy∈Sz=x+iy∈S, for some x,y∈Rx,y∈R. First we plug…

Q: Describe the following points on the complex plane: (9) i3Im( (1+i)z ) = 2Re(iz +2).

A: Solution:

Q: 3. B(-3; 4) is a point in the Cartesian plane. B(-3; 4) Determine: a) ОВ b) sin 0 c) d) tan 0 Cos 0

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Q: B. If the complex function f(z) = u + iv, find u and v for the following complex %3D function: (2 -…

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Q: (2 -i)z (3 - 4i) = 0 1+ 2i ii) Given that z =x = iy, x,ye R,find the locus of the points z, on an…

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Q: 33. , Given that the complex numbers z - 3 + i and z2 = -3 - i are such that Iz - z,|-|z – z2 l. The…

A: Here we find locus of z

Q: p and q are complex numbers such that p| = x + 2, |q| -žx – 1, and |p+q] = 2x + 4 %3D On what…

A: I have provided solution in step2

Q: Question 1 On the complex plane, sketch the region defined by R(2) 2 1 and 9(2) < } and |2 – }| < 2.

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Scetch the following sets in the complex plane: a) {2 € C; z = i2}; b) {2 € C; log(2) € (0, 1]}.

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Q: Let f (z) = z² + 9+ 10i be a complex function. What is the image of the line x = ? A straight line A…

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Q: 10 Consider the set of points described by =+2=1 on the complex plane. What is the maximum value of…

A: Given- z+2=1 To find- The maximum value of arg z.