Sketch the in the complex curve plane given by.- i) |2 -31 12+3i/ %3D

Q: 4. -5 Vi + 1/3 5. - V8 - 2i/3 V3 - 10i 6. + 5i

A: Polar form of a complex number z=x+iy is  z=rcosθ+i sinθwherer=x2+y2andθ=tan-1yx

Q: This is question of Complex Analysis.

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

Q: Sketch the curve in the complex plane given by | Z-3| = | 7 + 3i } %3D i, z'+ 2?= 2. %3D

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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: Find all the roots in the complex plane using De Moivre's Formula in polar form and rectangular…

A: To find the fourth roots of -1 the De Moivre's formula convert the rectangular co-ordinate to polar…

Q: Vz + i/3 V3 - 10i 5. 6. -V8 – 21/3 -V3 + 5i

A: The given problem is to evaluate and simplify the given complex expression and graph the following…

Q: Find all solutions of z E C of the equation i(z + 2i)4 = -81 and hence show via the sketch all these…

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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: | Re(z) |> 1 | 2 – i< 3 1</ z + i+1|< 2

A: As per our guideline we are allowed to do 1 question or maximum 3 subparts at a time. Please post…

Q: (b) If z = x + iy is a complex number. Sketch the curves in the complex plane given by i. Im(2) = –1…

A: i. Given that Imz=-1. This implies that, Imz=-1Imx+iy=-1y=-1 Sketch the curve Imz=-1 as shown below.

Q: 29. When z = z If z and z are equal, what can you say about the location of the point z in the…

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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: If the complex number z = x + iy satisfies the condition |3z - 6i| = 3, then z lies on a. Circle…

A: We know that z=x+iy and z = x2+y2 Then 3z-6i = 33(x+iy)-6i = 33x+3iy-6i = 33x+(3y-6)i =…

Q: i) ii) (AB) = B*A', ii)AA)* = TA', (A+B)* = A* + B', %3D %3D %3D where A is a complex number and At…

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Q: The geometric representation of the equation iz +2-2i = 16 is a circle whose center is. %3D

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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: 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 (2) |Arg(z)< t/ 2

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

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Q: SKetch the Cuove in the Complex Plane given by 12-3) = 1z+31| %3D

A: The detailed solution is as follows below:

Q: ii. ?² + ?̅²= 2

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

Q: Represent in polar form and graph in the complex plane as 1.1+i 2. -4 + 4i

A: Polar form of the complex number

Q: b) Given the complex number z = -V32 + V32i. i. Express z in polar form. Vz and sketch ii. Obtain…

A: ----------------------------------------------------- Given: z = -32 + 32iAim: To express 'z' in…

Q: Find the parametricequations of the line passing Through (-2,0,3) parallel to ū = 2i +49-2R.

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Q: Find the centre and radius of the circle formed by all the points represented by z = x+ iy…

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Q: Represent in polar form and graph in the complex plane as 4. -5 V2 + i/3 5. -V8 - 2i/3 V3 - 10i 6.…

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Q: Find all Complex Yoots @ Z^_Z 20 +32i=0

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Q: (b) Shade the region in the complex plane defined by z+1+i 2-1-5i

A: Solution:-

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: 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: Find the centre and radius of the circle formed by all the points represented by z = x+ iy…

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Q: Given that z is a complex number, sketch the common region shared by the following locus: |z – 2| 6

A: let z=x+iy

Q: :If z is a complex number satisfying the equation (-1)" = =", where n e N. Show that the locus of z…

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Q: Ecample 12: Show that the equation of a straight line in the Argand plane can be put in e form zb +…

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Q: Find the parametric equations of the li segment that passes through the point

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Q: Determine all the fourth roots of z = -1+ 7j to 4 decimal places and plot them in the complex plane.

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

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Q: Q3 Put the complex number Z = 18 + 26i in the "polar" form Z = rele where r, 0 ER and both r and 0…

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Q: 5. Determine all roots of the equation z4 – 9 = 0, and sketch them on the complex plane.

A: Given equation:                            z4-9=0

Q: a) Describe the set of points z in the complex plane that satisfy the given equation Iz + (P + 1)i|…

A: a) Describe the set of point z in the complex plane that satisfy the given equation  z+(P+1)i =…

Q: If the complex number z = x + iy satisfies the condition |z + 1| = 1, then z lies on Circle with…

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Q: If the complex number z = x + iy satisfies the condition |z + 1| = 1, then z lies on Select one: х…

A: Given that: z=x+iyCurve: |z+1|=1

Q: dz and dz

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Q: tanhz = tanh ? %3D

A: Given,tanhZ ¯ = tan hZ¯where Z is a complex number and tan h is tangent hyperbolic

Q: complex

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Q: Find all the roots in the complex plane using De Moivre's Formula in polar form and rectangular…

A: Given function, 3+j43 To find the roots in complex plane using De Moivre's formula.