Answered: The remainder of this question concerns…

The remainder of this question concerns the complex numbers z1 = 2 + j4 and z2 = −3 + j4 (a) Calculate (ii) z1z2. (iii) z1/z2. Give your answers in the form a + jb where a and b are real numbers.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.6: De Moivre’s Theorem And Nth Roots Of Complex Numbers

Problem 9E

See similar textbooks

Related questions

Q: Let R be a ring with identity, and let x e R be an element with a multiplicative inverse. Then the…

Q: You can find the approximate temperature by counting the number of chirps a Manitoba makes in one…

Q: Find y if the slope between (4,y) and (7,7) is 2.

Q: If a system of two nonlinear equations contains one equation whose graph is a circle and another…

Q: Linda and Casey have a $126 000 mortgage at 5.15% per year on their two-bedroom house. Determine the…

Q: Question 4 1 a) c = ² ( ² + + 2 ² ² - 1 2s compute the following inverse Laplace transforms.

Q: solve the given system of equations using the substitution method. x+3y=6 2x+9y=15

A: Given Problem:- solve the given system of equations using the substitution method. x+3y=6…

Q: Hi i’m in grade 12 Data Management and i need help with this practice question please use « let » s

A: Solution of the problem as follows

Q: 9.7 m 3.2 m 7.4 m 2.7 m Ó

Q: plz solve them steb by steb and ill upvote for sure [Q2] Find the general solution of the DE 3 a)…

Q: Show with calculations that the total income of selling 600 jackets and 800purses is 58%of one…

A: Given data:- The total income of selling 600 jackets and 800purses is 58%of one million.

Q: A payment of $14,575 is due in 1 year, $16,500 is due in 5 years, and $8,300 is due in 6 years. What…

A: Please refer to the image below

Q: 5. What is odd and even function?

A: In this question we have to define what is odd and even function means.

Q: Sfo sin (y²) dA, D= {(x,y) | 0<x<y, 0<y<26}

Q: Given that the consumer price index was 82.4 in 1980 and 215.3 in 2008, find the price in 2008…

A: Given, Consumer price index in 1980= 82.4 Cost of new car in 1980= $ 15999 Consumer price index in…

Q: The graph below shows the function y = log b x. Which statement must be true about b? -1 4 3 2 1 -1…

A: The given graph is: As we know from the logarithmic function; For the logarithmic function…

Q: In a particular class there are 10 freshman, 12 sophomores, 5 juniors, and 3 seniors. If chosen at…

A: The answer is given below:

Q: QUESTION 4 Solve the problem. In the following formula, y is the minimum number of hours of studying…

A: Please see the below picture for detailed solution.

Q: Sarah deposited $15,000 in an investment fund that was growing at a rate of 3.00% compounded…

A: Please refer to the image below

Q: Subject recurrence relation Suzan borrows n £ from Diana. Starting from today, Suzan pays back to…

A: Given data:- Suzan borrows n £ from Diana. Suzan pays back to Diana 2 £ or 3 £ at each day.

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below. 9 12…

A: The given matrix, A=912-6-9

Q: A school lunchroom buys 10kg of ground beef to prepare 110 servings of chilli. At this rate hoe many…

A: Given: A school lunchroom buys 10kg of ground beef to prepare 110 servings of chilli. Find: how many…

Q: What is the measure in radians of the angle A = - 750 ° ? Select one: a. 25π / 6 b. - 25π / 6 c.…

A: Given problem:- What is the measure in radians of the angle A = - 750 ° ?

Q: x−1 / x+2 > 0 Find any critical values. Use the critical value(s) to break up the number line into…

Q: Perform the indicated operation. X-1 X+9 X+1 X-1

A: Take LCM of denominators and then go ahead

Q: If f(x) = x4 + 2x3-5x2-x+6, P what would be the list of possible rational roots? Arrange your list…

Q: John’s age 8 years hence is three times of his age 12 years ago. How old is he now?

Q: evaluate 4 times a number q plus 25 when q = 2

Q: Hi, Can you please solve clearly ? Thanks Use powers to rewrite these problems: Example: 5 x 5 = 52…

Q: Calculate the rate of simple interest per annum offered on savings of $4,500.00 if interest earned…

Q: Jennifer received a loan at 5% p.a. simple interest for 8 months. If he was charged an interest of…

Q: Consider an inner product on two P₂ vectors as (f, g) = f(-1)g(-1) + f(0)g(0) + f(2)g(2): 1) (−4 +…

A: The inner product on two P2 vectors as f,g=f-1g-1+f0g0+f2g2

Q: 3* Consider three sets A, B, and C in a universal set U. Draw Venn diagrams of the following subsets…

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below. A =…

Q: QUESTION 9 The infield of a youth baseball field is a square that measures 60 feet on each side. The…

A: NOTE : I have solved question 9 as it is the only complete question.

Q: Ex 6. Find the points at which the given function f has a local extremum: (i) f(x)=x²-11 on I =…

Q: 5. Consider the expression (a + b)³. When expanded it has a first term of 256x¹6 and an eighth term…

Q: Identify the indicated information for the function f(x)=3* -1. 67. Describe the transformations of…

Q: QUESTION 1 Simplify the rational expression. Find all numbers that must be excluded from the domain…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the first and and second derivatives with respect to x, and then find and classify the…

A: Given function :- gx=-2xlnx

Q: Graphing Logarithmic Functions In Exercises 13-20, sketch the graph of the function. See Example 1…

A: The objective of the question is graphing the given function. Here x>0, y=o ,if x=4,…

Q: Ann has $10. After spending $x on snacks , she has less than $5 left

A: Given:- Ann has 10$ Now, she has less than 5$

Q: Simplify the following radical expression: √80+ √125 07√5 V 205 9√/5 03√5

Q: X=sin(), y = cos (t), 0 st ≤2 The parametric equations give the x and y coordinates of the position…

A: In order to observe the motion of the particle on X-Y plane, we need to eliminate the parameter 't'…

Q: Use the compound interest formulas A = P nt and A Pet to solve the problem given. Round answers to…

Q: Banana's Foster Pancake Yield: 10 pancakes 1 egg 3/4 cup milk 2 Tbsp. oil 1 cup AP flour 1 Tbsp.…

A: This is a problem given of adjusting recipe based on the constraints given. Please follow the…

Q: Madeline and Reese can choose between weekly payments or accelerated weekly payments for their…

A: The payments are made more frequently resulting in one extra monthly payment being paid each year .

Q: 6. Assume that the following determinant calculation is correct. i. Use the properties of…

A: As per the company's guidelines, we are supposed to solve first three subparts for you, kindly…

Q: Write a system of equations for the following. Then solve. Make sure to identify the variables.…

Q: Carry out Euclid's algorithm to find d = gcd(16, 10). In the notation of the lecture notes, bo = 16…

A: The objective is to solve the above question.

Question

The remainder of this question concerns the complex numbers z₁ = 2 + j4 and z₂ = −3 + j4

(a) Calculate

(ii) z₁z₂.

(iii) z₁/z₂.

Give your answers in the form a + jb where a and b are real numbers.

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

Expert Solution