Show that |a²| = aRez if a is a positive real constant..

Q: Consider the complex number z = (1 – i)(-1-iv3). Find |2| and arg(2).

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Q: 3 lim Z→2 (Z-2)4 ∞

A: We have to find the limit.

Q: Express the complex number in exact simplified rectangular form.

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Q: z is a complex number.

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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: Suppose z is a complex number that possesses a fourth root w that is neither real nor pure…

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Q: Plot the complex number z = 3 and find its absolute value.

A: Consider the given: z=3It can be written as:z=3+0iComparing z=x+iy,here,x=3,y=0

Q: Convert to complex form z3 = 8

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

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Q: a

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Q: Find the derivatives of the following 1. [sin-(2z – 1)]² 2. cos-1(sin z – cos z)

A: Differentiating complex functions is similar to differentiating the functions with respect to x, but…

Q: 7. Plot the complex number 3 - 6i

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Q: a. -16 + V-7 b. 47 ,601

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Q: z = sin(e³) + sinh(5230°)

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Q: 5. Represent the following numbers in the complex plane and express them in Cartesian: a. 23 b. C.…

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