12. Use Demoivre's theorem to find the power of the complex number. Write answers in rectangular form. (-1+i)

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number (-2 - 2i)5. Write answers…

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Q: 1. How can you tell which part of a complex number is the real part and which is the imaginary part?

A: As per our guidelines we are supposed to answer only one question at a time. Please ask remaining…

Q: 2. Find the square roots of the complex number: Z=3+4√7 i

A: Square root of complex number

Q: Using the given complex numbers on the Argand diagram find: Z4 -2 2. 3. Z5 21

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Q: What happens when a complex number is multiplied by its conjugate? It turns into a real number…

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Q: The division of two complex numbers is done by: a. Multiplying the two numbers by the denominator b.…

A: Option (C) Multiplying the two numbers by the conjugate of the denominator is correct . We see one…

Q: Use DeMoivre's Theorem to raise the complex number to the given power. Express your solution in…

A: Compare the given complex number with the standard form and find x and y.Find theta using x and y.

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given: Let z=-1+i8  To Find: To change the given complex number into a+ib form using De Moivre’s…

Q: 10 Express the given complex number in rectangular form 1+/3 Answer: a. b. --V d.

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Q: Write the complex number in trigonome begn by sketching the argument the graph to help find 8.…

A: Given complex number is  z=-5-53i The general form of complex number is z=x+iy where x is real part…

Q: 9. Find the complex sixth roots of -1 -i. Leave your answer in polar form.

A: The complex number is -1-i.

Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in…

A: Demoivers theorem

Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in…

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Q: 2. If a and b are complex numbers, and z is a complex number that obeys |z| = 1, show that az + b =…

A: Given that a,b and z all are complex numbers.   let, a=c+idb=r+is  and z=x+iy, where c,d,r,s,x,y all…

Q: 2+7i 3-3i

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Q: 2) Suppose 1 and w are complex numbers, show that Aw =

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Q: 8. What type of number can be written in the form a + bi? A rational number A real number A whole…

A: A) a+ib form contains one real part and one imaginary part.  in the above form a, b are real parts…

Q: Use DeMoivre’s theorem to find (–8)1/3. Express your answer in complex form.

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Q: Find the cubic roots of the Complex number Z=-j and graph these roots in the complex Plane? Ans. Wo…

A: To find cube root of given complex number first convert into euler form then take cube root. Then…

Q: Solve over the set of complex numbers. x +32 0 2x2 -10 = -50 17. 18. 19. 3x2 =-12 %3D

A: We have to solve

Q: Find all complex numbers that are solutions of the given equation. Leave your answers in standard…

A: Given complex equation is: z4+8+83i=0⇒z4=-8-83i⇒z=-8-83i14 Let us consider, r cos θ=-8  ;  r sin…

Q: Use DeMoivre’s theorem to find (–√3/2 +i/2)12. Express your answer in complex form.

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Q: Find all complex cube roots of – 4 – 2i. Give your answers in a + bi form, separated by commas.

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Q: 13. Find the complex number.

A: Given real part=4 Imaginary part=-7i

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: 1-i10 Consider, z=1-i Now, z=12+-12=2 & θ=tan-1yx=tan-1-11=2π-tan-11     ∵The complex number 1-i…

Q: 24. Graph the complex number and give the absolute value of the number. 31 *64 |3-3 131-3 2- -6 6…

A: The correct graph is (a) & |3i| = 3  The detailed scription is as follows below :

Q: Use De Moivre’s theorem to change the given complex number to the form a + bi, where a and b are…

A: Given :            -22 + 22i15   To change the given complex number to the form a + bi using De…

Q: 1. Write the complex number i+ in the form of reie.

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Q: In Problem,find all the complex roots.Leave your answers in polar form with the argument in degrees.…

A: Given: 4-43i

Q: Find all the complex cube roots of 1. Write the roots in rectangular form. (Type your answer in the…

A: Given query is to find complex cube roots of 1.

Q: 5. Divide complex numbers. 10 а. 1-2i -3-6i b. 2i

A: Given:                a) 101-2i   Solution:                    Determining the conjugate of the…

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number (1 + i)5. Write answers in…

A: Explanation: Given that,  Complex number, (1+i)5 Convert this rectangular form into the polar form…

Q: 13 Jlgull If z,,z, are two complex numbers then:

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Q: 11. The vertices of an equilateral triangle are equidistant from the origin. One of its vertices is…

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Q: 1+i If z = , what is the argument of this complex number? -37 4 -4x 3

A: We have to find argument

Q: 7. Write down complex numbers in the trigonometric and expone forms a) z = 16i; b) z = –1; c) z =…

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Q: Show that multiplying a complex number by i rotates it through 90° without changing its length. Find…

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Q: Show that root of following quadratic equation are complex numbers a. 2x2 + x + 3 = 0 b. 7x2 + 5x +…

A: Compare the equation 2x2+x+3=0 with the general form of the quadratic equation ax2+bx+c=0, to find…

Q: Use DeMoivre’s Theorem to find the indicated power of the complex number (1 - i√3)2. Write answers…

A: Known theorem: cosθ+isinθn=cosnθ+isinnθ.

Q: 6+5i -6-3i 2s

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Q: 2. It is easier to find the power or the root of a complex number if the numnber is written in form.

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Q: 3. Given a complex number a + bi, the value of a is called the part. part and the value of b is…

A: Give query is to give the names of 'a' and 'b'.

Q: Show that if z1 and z2 are complex numbers then (z1/22) = Zī/22.

A: Given, z1 and z2 are two complex numbers and we have to show,

Q: Q(1): Derive formula for the product and division of two complex number.

A: Our objective is to derive formula for product and division of two complex numbers...

Q: Enter in form a + bi the complex number z which has an absolute value 2 and argument 2/3 π.

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Q: What are all the cube roots of -1 in the complex plane? Mutiple choice options: 1 -1 e(5π / 3 i)…

A: Given problem:- What are all the cube roots of -1 in the complex plane?   Mutiple choice options:…

Q: 2. Find the square roots of the complex number: Z = 3+4√7 i

A: We have to find roots of given complex no.

Q: Determine the complex number z that solve the problem 1-18i 4z - 3z %3D 2-i

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.