For the complex numbers • w = 3-5 i • z = -4+7 i Enter exact value of the imaginary part of their product w · z in the space below.

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

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Q: What is the basic principle in multiplication of complex numbers?

A: A complex number is a number that can be expressed in the form a+bi, where a and b are real numbers,…

Q: (1 + i) 201.

A: Now…

Q: How would I find the magnitude of the complex number based on the given values for z?

A: To find the magnitude of the complex number

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: Solve 3x3 + 2x - 1 = 8x2 - 4 in the complex numbersystem.

A: The given equation is 3x3+2x-1=8x2-4. Solve this equation as follows.…

Q: Suppose the product z1z2 of two complex numbers is a nonzero real constant. Sho 2 kz1, where k is a…

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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: (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: Evaluate these complex numbers: (a) _2 – j] (b) 6 30° + j5 –- 3 + e45°

A: To find- Evaluate these complex numbers:  j31 + j2 - j2 6∠30° + j5 - 3 + ej45°

Q: -1 + V3i What is the real part of the complex number: 7 = (A 2 V3 B) -1/2 c) -1 D

A: topic - complex numbers

Q: Find the Real and Imaginary Part of 1+sqrt(3i) and plot it in the complex plane

A: Complex number of form z = x+yi Where, x is real part and y is imaginary part

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

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Q: Given the complex numbers z, =-3+ j4 and 2 12+ j5, find: (a) Z122 (b) (c) Z1-22

A: By using algebraic rules of complex numbers we solve this question

Q: Are operations with complex numbers similar to operations with polynomials?

A: When a negative number is expressed inside the square root operation, the imaginary unit i=-1 is…

Q: Perform the following operations on the complex numbers. a) (4– 6i) – (-8 - 9i) b) (4 – 6i)(-8 – 9i)…

A: (a) Perform the subtraction operation for the given complex numbers.…

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: If =1-i and =5-21 then draw the following complex numbers on the Argand Diagram: (a) 2, + (b) 4-4…

A: The objective of the question is drawing the given complex numbers on the Argand plane (diagram).

Q: Find an angle ? between 40° and 360° with the same sine value as 40°. Explain your work carefully.

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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.