Practice Problems and Examples for Complex Numbers

How to write the expression $6^{\frac{3}{2}}$ in radical form?

i6ch5i6ns3op3 2023-02-25

Seventy eight and two hundred seventeen thousandths can be written as:
A) 78.217
B) 78.201
C) 7.217
D) 78.217

Elise Griffith 2023-02-15

What is the conjugate of a fraction?

markezop78 2023-02-09

Which term of the progression 20,19 1/4,18 1/2,17 3/4..is the first negative term?

Jaycee Cox 2023-02-02

What is the sum of the first 50 natural numbers?
A) 2550
B) 1275
C) 3000
D) 3250

Skylar Greer 2022-12-26

What are the prime numbers between 20-30?

Paityn Rangel 2022-12-16

All real numbers are whole numbers, right? True or False

Jaden Bird 2022-11-26

Integration By Parts (Logarithm)
$\int (2 x + 3) \ln (x) d x$
My attempts,
$= \int (2 x \ln (x) + 3 \ln (x)) d x$
$= 2 \int x \ln (x) d x + 3 \int \ln (x) d x$
For $x \ln (x)$ , integrate by parts,then I got
$= x^{2} \ln (x) - \int (x) d x + 3 \int \ln (x) d x$
$= x^{2} \ln (x) - \frac{x^{2}}{2} + 3 \int \ln (x) d x$
For $\ln (x)$ , integrate by parts, then I got
$= x^{2} \ln (x) - \frac{x^{2}}{2} + 3 x \ln (x) - 3 \int 1 d x$
$= x^{2} \ln (x) - \frac{x^{2}}{2} + 3 x \ln (x) - 3 x + c$
$= \frac{1}{2} x (- x + 2 (x + 3) \ln (x) - 6) + c$
But the given answer in book is $x^{2} \ln (x) - \frac{x^{2}}{2} + \frac{3}{x} + c$ . What did I do wrong?

Makayla Eaton 2022-08-04

Let z be a complex number such that the absolute value of (z-1) is equal to 2. Show that z * (the conjugate of z) - z - (the conjugate of z) is equal to 3.

Jaxson Mack 2022-08-02

Find all complex solutions of P(z) = z^6 -1 and plot them in the complex plane

A polynomial f(x) with real coefficients and leading coefficient 1 has the given zero and degree. Express f(x) as a product of linear and/or quadratic polynomials with real coefficients that are irreducible over ℝ.
7 + 8i; degree 2

Ramon Powell 2022-03-19

Calculate and write in cartesian form
a) $(2 + i) (1 - 2 i)$
b) $\frac{3 + i}{4 - 3 i}$

Plot the complex number. Then write the complex number in polar form. Express the argument in degrees.
13 + 13i
Plot the complex number. Write the complex number z= 13 + 13i in polar form.

Jacob Stein 2022-02-14

Graphing Complex Numbers In Exercises 65–68, sketch the graph of all complex numbers z satisfying the given condition

balastantpef 2022-02-13

To divide complex numbers, multiply the numerator and denominator by the complex _ of the _.

Kelsie Cantu 2022-02-13

Add the complex numbers -1.22+j2.44 and -4.25+j5.25

Ben Mcdonald 2022-02-11

How do you add two complex numbers?

Marlee Yates 2022-02-11

Are operations with complex numbers similar to operations with polynomials?

Regardless if you’re dealing with complex numbers problems or need to find the answers to the complex numbers equation, do not let it bring you down as we shall provide you with complex numbers examples that will help you find the answers. Our complex numbers problems will offer you various solutions that can be matched to your instructions and the problems that you have. It is recommended to start with the complex numbers answers by going straight to your instructions to understand how exactly complex numbers differ. Have a look at our complex numbers questions and come up with solutions.

Precalculus