Given the complex number z = (1 - ai/2 - i) - (b - 2i/1 + 3i), where a and b are real. If arg z3 = 3π/2 and lz2l = 49, find the values of a and b.

Q: 1. Solve the following complex roots and plot the solutions if

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

Q: For the complex numbers • w = 3-5 i • z = -4+7 i Enter exact value of the imaginary part of their…

A: Product of two complex numbers (a+ib)(c+id)=ac-bd+i(ad+bc)

Q: Find the complex roots of the equation z = 1 + i

A: We have to find the complex roots of the equation z5=1+i.

Q: 1. Which of the following is a complex solution to the equation: (x+3)* -4 =-40? (1) 3+7i (3) -3 +6i…

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Q: Write the complex number -V3 + i in trigonometric (or polar form) with 0 < 0 < 2n.

A: Using z= r(cos theta +i sin theta)

Q: Use the trigonometric form of a complex number to show that z-n = 1/zn , where n is a positive…

A: To prove the given identity

Q: Given the complex number   z=x+yj. Determine z .   Express your final answer in rectangular form

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Q: Let 2 = 2+3i and w = 5-i. Compute the following complex numbers (your answers should be in a + bi…

A: Step 1:Let's compute the given complex numbers in a+bi format for the following:(d): zwˉ(e): wz​(f):…

Q: Find the complex number z that satisfies 3z + 5z = |2|2 + 8i.

A: The given problem is to find the complex number which satisfies the given complex function, We have…

Q: Solve the complex number z = (2+3i)^3/2

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Q: Plot the complex number z4 = (√3/2+1/2i)^20 in the Argand diagram.

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Q: If 'a'is a complex number such that z = 1. Find the value of a, so that the equation az? +z+1=0 has…

A: Explanation of the answer is as follows

Q: Convert the complex number z = -√2 (lis (317) in its rectangular shape

A: Given: z=2cis3π4 To find: Rectangular form of given complex number.

Q: Solve the following complex number: 1. 2+i/1-i = i(x+iy), x=? ; y=? 2. (2+i)(3-2i) = a+ib, a=?;…

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Q: Put the complex number of (1+2i)/(2+i) in the form if a +bi, where a and b are real numbers

A: The given complex number is 1+2i2+i.

Q: If Z₁=14+7i and Z2=3+17i, determine the imaginary part the complex number: Z₂ Give your answer to…

A: Given :Z1=14+7iZ2=3+17i

Q: 5. (a) Let z = (a + ai)(b+ bv3i) where a and b are positive real numbers. Without using a…

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Q: Find the complex number (4+2i)/(1-3i)

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Q: Write the following complex numbers in rectangular form (z = x + iy) el-i +1 el-i – 1'

A: I have divide each terms as a+ib form the rationalized

Q: principal values

A: We will use the definition of cos hyperbolic function of complex numbers to find the result. cosh…

Q: Find the imaginary component if the complex number a + bi is raised to m if a = 4, b = 3, and m =…

A: a = 4, b = 3 =&gt; a + bi = 4 + 3i m = 9 =&gt; (a + bi)m = (4 + 3i)9                            = (4…

Q: The reciprocal of a complex number x+jy is

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