Digital photography has dramatically changed the nature of photography. No longer is an image etched in the emulsion on a roll of film. Instead, nearly every aspect of recording and manipulating images is now governed by mathematics. An image becomes a series of numbers, representing the characteristics of light striking an image sensor. When we open an image file, software on a camera or computer interprets the numbers and converts them to a visual image. Photo editing software uses complex polynomials to transform images, allowing us to manipulate the image in order to crop details, change the color palette, and add special effects. Inverse functions make it possible to convert from one file format to another. In this chapter, we will learn about these concepts and discover how mathematics can be used in such applications.

Questions & Answers

The center is at (3,4) a focus is at (3,-1), and the lenght of the major axis is 26

The center is at (3,4) a focus is at (3,-1) and the lenght of the major axis is 26 what will be the answer?

Rima

I done know

Joe

What kind of answer is that😑?

Rima

I had just woken up when i got this message

Joe

Can you please help me. Tomorrow is the deadline of my assignment then I don't know how to solve that

Rima

i have a question.

Abdul

how do you find the real and complex roots of a polynomial?

Abdul

@abdul with delta maybe which is b(square)-4ac=result then the 1st root -b-radical delta over 2a and the 2nd root -b+radical delta over 2a. I am not sure if this was your question but check it up

Nare

This is the actual question: Find all roots(real and complex) of the polynomial f(x)=6x^3 + x^2 - 4x + 1

Abdul

@Nare please let me know if you can solve it.

Abdul

I have a question

juweeriya

hello guys I'm new here? will you happy with me

mustapha

The average annual population increase of a pack of wolves is 25.

Period =2π
if there is a coefficient (b), just divide the coefficient by 2π to get the new period

Am

if not then how would I find it from a graph

Imani

by looking at the graph, find the distance between two consecutive maximum points (the highest points of the wave). so if the top of one wave is at point A (1,2) and the next top of the wave is at point B (6,2), then the period is 5, the difference of the x-coordinates.

Am

you could also do it with two consecutive minimum points or x-intercepts

the range is twice of the natural number which is the domain

Morolake

A cell phone company offers two plans for minutes. Plan A: $15 per month and $2 for every 300 texts. Plan B: $25 per month and $0.50 for every 100 texts. How many texts would you need to send per month for plan B to save you money?

Hey I am new to precalculus, and wanted clarification please on what sine is as I am floored by the terms in this app? I don't mean to sound stupid but I have only completed up to college algebra.

I don't know if you are looking for a deeper answer or not, but the sine of an angle in a right triangle is the length of the opposite side to the angle in question divided by the length of the hypotenuse of said triangle.

Marco

can you give me sir tips to quickly understand precalculus. Im new too in that topic.
Thanks

Jenica

if you remember sine, cosine, and tangent from geometry, all the relationships are the same but they use x y and r instead (x is adjacent, y is opposite, and r is hypotenuse).

Natalie

it is better to use unit circle than triangle .triangle is only used for acute angles but you can begin with. Download any application named"unit circle" you find in it all you need. unit circle is a circle centred at origine (0;0) with radius r= 1.

SLIMANE

What is domain

johnphilip

the standard equation
of the ellipse that has vertices (0,-4)&(0,4) and foci (0, -15)&(0,15)
it's standard equation is x^2 + y^2/16 =1
tell my why is it only x^2? why is there no a^2?

This term is plural for a focus, it is used for conic sections. For more detail or other math questions. I recommend researching on "Khan academy" or watching "The Organic Chemistry Tutor" YouTube channel.