Let a be a complex number 0. What is the absolute value of a/ā? O (A) 1. (B) 2. (C) 3. 4. O 000

Q: The absolute value of the complex number [2 + sqrt (2) + pi] +j [e- sqrt (3) + 5] O 8.88 O 11.5 O…

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Q: YOve the equaHIon: X4+3x^ta=0 WITR answers hs a ist of complex number. %3D

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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: Give a specific example of a complex number z where Arg(z) ≠ −Arg(z). Write your answer in…

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Q: (-4+5i)(-6+6i) - your answer as a complex number in standa

A: Here we have to Multiplying (-4 + 5i)(-6 + 6i)

Q: a) z5 = -32 b) z² + (i – 2)z + (3 – i) = 0 %3D ||

A: We have to find roots of given equation by De Moivre's formula.

Q: Subtract the complex numbers. Express your answer in the form (a + bi). (3 + 4i) – (6 - 7i)

A: According to the question, we have to subtract the complex number 3+4i-6-7i and express the number…

Q: Simplify the complex number z=j(-1+j). Then, find the modulus of the complex number z and the…

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Q: (b) Find the conjugate, argument and modulus of the complex number Z =1+i3

A: Recall: If z= x+iy , then (i) Modulus of z , z=x2+y2(ii)Conjugate of z is z¯ =x-iy(iii) Argument =…

Q: The remainder of this question concerns the complex numbers z1 = 2 + j4 and z2 = −3 + j4 (a)…

A: To find Z1+Z2

Q: 2 – i Find the conjugate of the complex number in the form of a + bi. 1– 2i

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Q: What is the product of the complex numbers 3 4i and -6 + i, where i = v-1? %3D A -22 + 27i B. -18 -…

A: Solved below

Q: Find the midpoint between the pair of complex numbers. (-5 - 8i) and (-3i) O 2.5 + 2. 5i O-2.5 5. 5i…

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Q: e the standard form of the complex number.   7 5  cos   2π 3   + i sin   2π 3

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Q: Let i denote the square root of-1. For the two complex numbers =3e and w= 6e find 2, w. Grve your…

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Q: nd the absolute value of the complex number 1 + 21.

A: Given query is to find the absolute value of the complex number.

Q: What is the algebraic form of the complex number 13 e^1.176i

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Q: What is the algebraic form of the complex number 13 e 12+5i 5-12i 12-5i 5+12i

A: We will use the basic theory of complex numbers to answer this question.

Q: The complex number (0.866 + 0.5 i) can be written in the form of

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Q: Find the real and imaginary parts of the complex number. 5 - 7i

A: Known fact:  For a complex number z=x+iy, x is called real part and y is called imaginary part.

Q: Z = (1– j)!-2j

A: We have to find the real and imaginary part of the complex number Z=1-j1-2j. So we have to write Z…

Q: What is the result of multiplication of complex numbers -V3+i and 끓 (cos +isin )? A 을 (cos +i sin )…

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Q: (A) Simplify the complex number z and express it both in rectangular and polar form. (3+ j6)(6+ j4)…

A: Given that z=3+j66+j42+j1j2+7+j10 express it In rectangular form and polar form

Q: Write the standard form of the complex number. 5t + i sin Plot the complex number. Imaginary…

A: Please refer the attached image for complete solution.

Q: 1+i Q.7 The argument of the complex number 1-i where i = -1, is

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Q: 2. For the complex number 3 + 4i the real part is and the imaginary part is

A: Given  complex number = 3+4i

Q: Determine u = cis(pi/16) v = cis(5pi/16) are two of the nth roots of some complex number z.what is…

A: Given: Determine u = cis(pi/16) v = cis(5pi/16) are two of the nth roots of some complex number…

Q: Solve x2 + 25=0 over the set of complex numbers. A ±25 土5i C +5 D +25i

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Q: Plot the complex number z = 4 - i and find its absolute value.

A: In the Argand plane, the real axis is the x-axis and the imaginary axis is the y-axis. The absolute…

Q: 3n i Let z = V2 e 4. Write the complex number 1/z + 2° in normal form (in the form a + ib).

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Q: Simplify the complex number z = j(-1+ j) and plot the result on your Argand diagram. Then, find the…

A: Given :           z = j(-1 + j)        To simplify z and to plot the result on Argand diagram.…

Q: 4i Rewrite the complex number 10e“ in a + bi form a b = II

A: We have to write the complex number 10e4i in a + bi form.

Q: Let i denote the square root of -1. For the two complex numbers z = 3e and w = 6e' 3 find z. w. Give…

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Q: Q 3) Calculate these complex numbers and express your results in rectangular form: 60/45° (a)…

A: in the complex number form, the given quantity can be written as 302+302j7.5-j10+j2   since the sine…

Q: What is the result of multiplication of complex numbers -V3 + i and (cos + i sin ) ? A)1(cos 뚫 +isin…

A: We have to multiply the given complex numbers . The solution is following

Q: Find the midpoint between the pair of complex numbers. (-8 - 7i) and (-10) O-4 8. 5i -9-3.5i 04+8.5i…

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Q: What is the result of multiplication of complex numbers -√3+i and (cos+ i sin )? A B (cos+ i sin )…

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Q: Represent the complex number geometrically.(1 + i)2

A: Given complex number is: 1+i2 We have to represent the given complex number geometrically.

Q: What is the standard form of this complex number? (1 + 2:) (1 + i) O A. + ž 3. O B. OC. + i O D. +号

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Q: 1. Write the complex number i+= in the form of rele V3

A: The polar form of complex number  is    , where     and  and .

Q: - 4 as a complex number (in terms of i): |-4 =

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Q: (A) Simplify the complex number z and express it both in rectangular and polar form. (3+ j6)(6+ j4)…

A: To express: The complex number in rectangular and polar form. Given: The complex number is…

Q: c) In e = 1 + 2n n i,n = 0,±1, ±2, ..

A: A complex number is a number of the form z=a+ib  where a and b are real numbers  The polar form of a…

Q: What is the algebraic form of the complex number 13 e (A) 12+5i (в) 5-12i c) 12-5i D) 5+12i

A: We can find the exponential form of the algebraic expression as below.

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: Find the real and imaginary parts of the complex number.

A: Concept  -If a complex number is given as - z = a+biThen,a = real partb = imaginary part

Q: The complex number (0.866 + 0.5 i) can be written in the form of e^(π/6 i) O True False

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Q: b, be complex numbers and N a positive natural number such N¬I i2knx N = απ Τ n = 0 to N - 1 k=0

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