(a) Find the modulus and argument of 1+√3i. (b) Hence find (1+√√3i) in the form rcise. 5 5 (c) Hence find (1+√3i) in simplified Cartesian for

Q: 5) Find the fourth root of-4-4i.

A: To find the fourth root of the below complex number

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

A:

Q: find all complex-number solutios (x+5)2 = -108

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Q: (No computer output is accepted) The following table presents a sample of number of contracts for…

A: For 98% confidence level, α = 0.02. The degrees of freedom is 5 (= n – 1). Using Excel formula…

Q: (5 – 6i) – (3 – 2i)

A: We have to perform the subtraction between two complex numbers.

Q: (j4 +43)(2cjs(-35°))" . Let w= (32cjs40°) - Simplify o and write it in rectangular form.

A:

Q: What is the complex expression of the square root of (15+j20) using De Moivre's Theorem?

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Q: Find (root3 / 2 - 1/2i)30 by the de moiver's formula.

A:

Q: Show that -1+ /3i is a cube root of 1 (meaning that its cube equals 1).

A: Find the cube of the expression and prove that it is equal to 1

Q: Q1) Find modZ and ArgZ for the complex numbers given below: 1+i√2 1-i√2 2 2+i a) Z= b) Z= +2-i

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Q: put find all 44i ofthe equotic ナリ2971

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Q: Verify that (¹)² = i²i but that (i²)i ‡ į²i ("i" imaginary unit)

A: What is Complex Number: A real number and an imaginary number are effectively combined to create a…

Q: Write the complex number z=(1-√3i)2015/(√2cis(7π/6))4028 in an exponential form.

A: cis(x) = cos(x)+isin(x)

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: Find the distinct roots of (-7 + 2i)3/4

A: Let x= (-7 + 2i)3/4 ⇒x4=-7+2i3 On Simplifying, ⇒x4=-259+286i--(1) Let, x=u+iv Now,…

Q: Find the quotient of (2√3+2i)(-4+i) 2 (1-√3i)

A: Solution

Q: Calculate (-(2/3) + 2/3i)-4 Give your answer in the form a + bi, where a and b are exact real…

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Q: (1 +i)(13 – 4i)(1 - i)

A: We have to simplify the given expression: 1+i13-4i1-i We know that a+ba-b=a2-b2i=-1i2=-1 Where, i is…

Q: Express the result in trigonometry and rectangular form (1 + 2i)4 44. (1 – 2i)?

A:

Q: b) Rationalize the numerator of 1 1 √3x 3(x+h) h Simplify your answer to the form as h 0 J where A "…

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Q: find the 4th root of z=2i-3

A: