2. (a) Find the modulus and principal argument of the following complex numbers: (i) -2(√3+i), πT (ii) cos +isin π 7

Q: Determine the argument and the modulus of the given complex (-2-4i)(5i) number: (3+8i)

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Q: 3 – 5i - Write as a complex number. In other 2+ 3i words, find real numbers a and b such that 3 – 5i…

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Q: 7. Multiply the following two complex numbers: (4 - 5i)(-2 + 7i)

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Q: a) Calculate z= 3√3 as a complex number in cartesian representation. 2-√3i b) Rewrite your result as…

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Q: Let zand w be complex numbers with the following properties. |z| = 7, |w|= 3, Arg(z) = − and Arg(w)…

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Q: Write the following complex numbers in exponential form. The principal value of ал the argument…

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Q: find quotient 1/z for given complex number z=-sqrt 3 + i

A: The given complex number is z=-3+i. The conjugate of the given complex number is as follows. z=-3-i

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: (a) Simplify the following () 62 (i) V-180 (b) For the complex numbers 21 = 8+ 15j and z2 =-3 + 8j,…

A: →j2 = -1→j4 =j2 × j2 = -1×-1 =1             So, j4k =1 , where k is any natural number.→Let z= x +…

Q: Find the difference between the complex numbers. (4 – 7 i)- (5+ 6 i )-(-1-13 i) (4 – 7 i)- (5+…

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Q: Find the product in the complex plane 1/4(cos Pi/6 +i sin pi/6) + 8 (cos pi/6 + i sin pi/6)

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Q: For the complex numbers • w = 5+ -11 i • z = 13 - 3 i Find the argument of w – z, and enter your…

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Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) -…

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Q: Find the 3rd roots of the following complex number: 27cis(174∘) Do not round and type "degree" for…

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Q: Evaluate the following complex numbers and express your answers in polar form: (a) (4/30° – 10…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: 1. Simplify the following list of complex expressions to the form a + ib where a, b are real…

A: we need to simplify the given complex expression to the form a+ib we know i=-1,  i2 = -1,  i3=-i, i4…

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: 2. Complex Operations Write the following complex numbers in the form a + bi. (b) (2+ 3i)(1 + i) 2+i…

A: Given: 2+3i4-i, 2+3i1+i, 11+i for converting given expression in a+bi  form, we apply given…

Q: Find a complex number for which Arg(z bar) does not equal -Arg(z).

A: For all non zero complex number we have Arg(z bar) = - Arg (z)  as if z = x+iy  which imples z¯ = x…

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: -2 3. (a) Given complex numbers 2₁ = 1-i, 22 = 2 + 3i calculate 2₁² +22. in an (b) Illustrate the…

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Q: 4. Preform the following operations and express the answer as a complex numbers. а) (15 — 20) — (6 +…

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Q: 1. What are the parts of a complex number? a. Real (x) b. Imaginary (y) C. Re (x) and Im (y) d. None…

A: The questions are related to complex numbers. Our aim is to find the answers to the given using…