Complex Numbers with In-Depth Explanation

Plot the complex number. Then write the trigonometric form of the complex number.
$1 - \sqrt{3} i$

DofotheroU 2021-08-16

Plot the complex number. Then write thetrigonometric form of the complex number.
$1 + i$

Joni Kenny 2021-08-16

Multiplicative Inverse of a Complex Number The multiplicative inverse of a complex number z is a complex number zm such that $z \times z m = 1$ . Find the multiplicative inverse of complex number.
$z = 1 + i$

cistG 2021-08-14

Multiplicative Inverse of a Complex Number The multiplicative inverse of a complex number z is a complex number zm such that $z \times z m = 1$ . Find the multiplicative inverse of complex number.
$z = 3 - i$

SchachtN 2021-08-10

Graph the point $z = \sqrt{3} - i$ and find the modulus and argument of z

An $8 \times 8$ chessboard has a square cell (or box, like square a1) which measures $β$ inches on one side.

Express the two possible moves of your knight in vector form with units in inches.

What are the distances of each possible move from your original position in inches?

What are their angles from the horizontal (x-axis)?

emancipezN 2021-07-02

The variable z is often used to denote a complex number and $\bar{z}$ is used to denote its conjugate. If $z = a + b i,$ simplify the expression
$z^{2} - {\overset{―}{z}}^{2}$

iohanetc 2021-06-22

Determine whether a linear, quadratic, or exponential function best models the data. Then, use regression to find the function that models the data.

$\begin{array}{cc} x & 0 & 1 & 2 & 3 & 4 \\ y & 100 & 89.5 & 78.9 & 68.4 & 57.8 \end{array}$

he298c 2021-06-21

Explain the difference between the graphs of polynomial functions with a degree of 3 that have a positive leading coefficient and the graphs of those with a negative leading coefficient.

Tyra 2021-06-10

One problem with all exponential growth models is that nothing can grow exponentially forever. Describe factors that might limit the size of a population.

avissidep 2021-06-08

absolute value of a complex number, axis of symmetry, binomial, completing the square, complex conjugate, complex number, complex plane, discriminant, imaginary number, imaginary part, imaginary unit, maximum value, minimum value, parabola, quadratic function, quadratic inequality in two variables, quadratic model, quadratic regression, real part, root of an equation, standard form, trinomial, vertex form, vertex of a parabola, zero of a function. Complete the sentences below with vocabulary words from the list above. The number 5i can be classified as both a(n)_ and a .

naivlingr 2021-06-05

Fill in the blanks. When evaluating limits at infinity for complicated rational functions, you can divide the numerator and denominator by the ____ term in the denominator.

vestirme4 2021-05-29

Complex number in rectangular form What is (1+2j) + (1+3j)? Your answer should contain three significant figures.

Maiclubk 2021-05-12

Rhode Island is the smallest state in the United States. Its land area is about $2.9 \times 10^{10}$ square feet. Alaska, the largest state, is about $5.5 \times 10^{2}$ times as large as Rhode Island. What is the land are of Alaska in square feet?

Annette Arroyo 2021-05-09

State any restrictions on the variable in the complex fraction. $\frac{\frac{x - 4}{x + 4}}{\frac{x^{2} - 1}{x}}$

Annette Arroyo 2021-05-05

Determine which type of function-linear, quadratic, or exponential-would be best for modeling each situation below. You do not need to write an equation for the situation. a. Bailey is growing bacteria on a petri dish for science class. The population of bacteria doubles every 20 minutes, so the initial number of bacteria is 1000, then 2000, then 4000, then 8000, etc. b. Avery is working on her math homework. She finished nine problems in class. She knows that, on average, she can do three problems in five minutes. c. Keiton loves catapults. He is building a small catapult that will launch an apple into the air and over the fence into his friend 's backyard.

waigaK 2021-05-01

Enter the data for Spendco into your graphing calculator. Enter the years since 2000 as the x-values and the corresponding daily hits in thousands as the y-values. a. To find the exponential equation that models the data, use the exponential regression feature of your calculator. The calculator should return values for a and b. Write these values below, rounding to the nearest hundredth. a= b. Write the exponential equation in the form $y = a b^{x}$ .
c. Use the exponential equation to predict the number of daily hits for Spendco in 2015.

coexpennan 2021-03-06

Show the following simultaneous equations in matrix form:
$4 x - 4 y - 6 = 0$
$16 y = 14 x + 4$

Dolly Robinson 2021-01-24

A bird flies in the xy-plane with a position vector given by $\vec{r} = (α t - β t^{3}) \hat{i} + γ t^{2} \hat{j}$ , with $α = 2.4 \frac{m}{s}, β = 1.6 \frac{m}{s^{3}}$ and $γ = 4.0 \frac{m}{s^{2}}$ . The positive y-direction is vertically upward. At the bird is at the origin.
Calculate the velocity vector of the bird as a function of time.
Calculate the acceleration vector of the bird as a function oftime.
What is the bird's altitude(y-coordinate) as it flies over x=0 for the first time after ?

EunoR 2021-01-08

Find a subgroup of order $6 \in U (700)$ .

Algebra is never easy even for those that claim to know it well. Regardless if you are solving quadratic equations with complex numbers or require someone to help you eliminate possible mistakes in your assignment, our list of equations will help you to find the most common answers.

The list of questions that you can see below serves as the basic examples of similar tasks. Solving complex tasks with the help of various examples also starts with probability, which is why remember to check your original problem twice to ensure that nothing is missed!

Algebra II

Complex numbers Explained: In-Depth Examples, Equations, and Expert Insights