6) let fl2) = CosCitaiy) 22atey Express flz) that f satisfies in the form and fornd z So the Canchy- Remann quation

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Q: (a) Every real number is a complex number (b) Every pure imaginary number is a complex number (c)A…

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Q: complex number

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Q: (6i)(5i)

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Q: Evaluating a Complex Number with Complex Power Evaluate In (e 1+j2 3 + j4 (Ins+jtar(43))(Vs-j%)…

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Q: Determine the imaginary part

A: In this question, we have to find the imaginary part of the given complex number.

Q: Imagisary (i) 2 axis (ii) 2i (ii) -2+i (iv) 1- 2i A. +++ -Real axis

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Q: Express the complex number equation below into polar form. 2i (3 + i) (1 + i3) = -8 %3D (2e) (2c분)…

A: We need to convert given complex number into polar form, We know that polar form of an complex…

Q: Simplify (3 - 25i)^7 in rectangular form

A: Given number (3-25i)7       first we will convert the given number into polar form then we will…

Q: If A = [2 i 9+ 4i 1 3 + 3i then

A: Given: A=2-i9+4i13+3i

Q: a – b 1- āb =1 if Ja| = 1 or |6| = 1. What exception should we make if Ja| = [b| = 1?. Show that %3D

A: To prove the given statement, we use the properties of the complex number.

Q: DEVELOPMENT 7. In the diagram on the right, the points P and Q correspond to the complex numbers z…

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Q: Illustiate the reflection poinipal with the help of examples.

A: The principle of reflection is that when a ray of light is reflected from a smooth surface the angle…

Q: 2)

A: I am providing the solution of (ii) only. The detailed solution is as follows:

Q: Evaluate **3+j4 1+j2

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Q: Assume that you are dealing with three squares and a right triangle, what is the area of the…

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Q: Evaluate ſ„-,(Iz + i|2021 + Re(z))|dz|. |z+il=2

A: To evaluate the Integral ∫|z+i|=2(|z+i|2021+re(z))|dz| Here we parametrize and evaluate the…

Q: Let z1 = 5 + 3i, z2 = 5 – 3i, and z3 = 4 + 2i. Find the following. (Simplify your answer…

A: Simply add and multiply the given data.

Q: Suppose that z = 3 – i is a root of the equation - ax" + bx + cx + d = 0, a,b, c, d E R

A: given one root of the equation ax7+bx4+cx+d=0. a,b,c,d∈R is z= 3-i we know that complex roots occurs…

Q: If a, b are complex constants and a real parameter, what does the equation z = a cost+bsint…

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Q: Suppose that two lines Re((1+i)z+2i+3) = 0 and Re(2-bi)z+5) perpendicular. then b=. 0 are ||

A: We will convert the equation into cartesian form and then use condition for perpendicular lines

Q: 4x2 x +5 -12x = 3 - 5x²

A: we have to find

Q: Suppose that two lines Re((1+i)z+2i+3) = 0 and Re(2-bi)z+5) = 0 are perpendicular. then b=.

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Q: 5z+1 is: The limz-1+i 5z-i 50 5 1 1 i 41 41 4 4 Option 1 Option 2 52 1 i 42 50 42 40 4

A: Given that we need to find the value of limit of complex number. Now,

Q: what is the argument f the Complex number -1-i ? a. 60° C. -45° b. 니7/3 d. -3 /u

A: Argument of the complex number

Q: Perform indicated operations (4-3i)(2-i)-(3-i)(3+i) How do I go about solving this? How do I…

A: Given,

Q: how do you find all complex situations (real and non-real) step by step please

A: Obtain the solution of the given equation as follows.

Q: z = (1+ i)24

A: We have to calculate z=  (1+i)^2i

Q: 2. Express the following complex numbers in the form a + bi: (a) (2+3i)(4+i) (b) (8+6)² (c) (1 + ₁…

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Q: 2+31 ++8, Express the answer in rectangular form. B. Evaluate the expression C an

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