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Calculus
The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.
25,068 Questions
Is -2x plus y equals 3 a function?
To be a function, every x has only one y. Meaning that the y's CAN repeat for different x's, but the x's CANNOTrepeat for different y's.
To prove that -2x+y=3 is a function or not, you might first want to make the equation into y= form.
-2x+y=3
y=2x+3 ;Add 2x to both sides, on the left it cancels
Now, to prove it, you need to either graph it or plug in x's into the equation and find out if any x's ever produce more than one y-value. If you do plug in an x, and you get, let's say, 2 y's, then it is NOT a function.
If you graph it, then you can find out if it is a function or not by performing the line test. Which means that on your graph, draw a vertical line down. If at any time your line crosses two points, then it is not a function.
y=2x+3 looks like an upward sloping line, however. So it does pass the vertical line test. Therefore, it is a function.
Type that into the Wolfram Alpha website. It's a maths website that will pretty much do anything to any maths function you require (e.g graph, factorise, integrate etc...) See related links for the website address - alternatively, Google "Wolfram Alpha" and it takes you straight there. Happy maths-ing!
What is the solution for the in equality 3x 1 is?
Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question. Please edit your question to include words for symbols and resubmit.
Why is y equals 1.8x plus 32 a commonly used formula in maths?
This is the formula which is used to convert temperature in degrees Celsius into temperature in degrees Fahrenheit. It is also the formula used to find slopes in linear equations.
Standard formating for slope is y=mx+b, where mx is the slope (rise over run) and b is the y-intercept.
Y = 1.8x + 32, translates to this: For every 1 you rise, you will run 8/10th's. Your original plotting point (y-intercept) is, (0, 32).
Y equals 2x plus -one third is perpendicular to the line?
-1 divided by the gradient (2) = -0.5
so y= 0.5x
Determine where an exhausted Paul would be after walking 739 units on the unit square?
Assuming he is walking along the perimeter, he is one unit short of returning to his starting point for the 184th time.
What is the solution for th equation x plus 1 equals x plus 2?
first we assume this to be true.
x+1=x+2
x=x+1
x-x=1
0=1
this is not true, so the initial premise that this problem has a solution must be false. There is no solution.
Y plus 6-28 equals 40 what is the answer?
We suspect that the questioner isn't quite sure of what the question is,
so we may be going off in a direction other than what he intended.
We're going to look for the value of 'Y' that makes the statement true.
Y + (6 - 28) = 40
Y - 22 = 40
Add 22 to each side:
Y = 62
1a x 1a is the same as: a x a so... a x a= a^2 or a squared, if you had a x a x a, the solution would be a^3, or a cubed.
How would work this problem out to get the answer f x equals x² plus 2x plus 1?
Relax. You're in luck. There's no question there, so there's no need to look for an answer.
f(x) is the description of a black box with a funnel in the top, a faucet on the bottom,
and a crank on the side. Inside the box is some machinery called a "function". It works
like this: You drop a number into the funnel, turn the crank, and a different number
pours out of the faucet on the bottom. f(x) is the description of the relationship between
the number you put in and the number that comes out.
In this case, the number that comes out is
(the square of the input number) plus (double the input number) plus (1).
To make the whole discussion more convenient, call the input number 'x', and then
the description of the machinery in the box is: f(x) = x2 + 2x + 1 .
That's it. No question asked, no answer needed.
Now, if you were to tell us what number came out of the box, then there would be a
question. It would be: "What's 'x' ?" In other words, "What number went into the box ?"
What is the x coordinate of the vertex y equals -x2 4x - 2?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. And using ^ to indicate powers (eg x-squared = x^2).
Is the equation 2x equals 3x is always false?
No. It is true if and only if x=0.
Note that for x not equal to 0, we can divide both sides of the equation by x giving 2=3 which is false. Division by 0 is undefined so we must check x=0 manually and indeed, it solves the equation.
What is the domain for the graph y equals 4?
The domain depends on the range and since you have not bothered to provide that crucial bit of information, I cannot provide a more useful answer.
The domain depends on the range and since you have not bothered to provide that crucial bit of information, I cannot provide a more useful answer.
The domain depends on the range and since you have not bothered to provide that crucial bit of information, I cannot provide a more useful answer.
The domain depends on the range and since you have not bothered to provide that crucial bit of information, I cannot provide a more useful answer.
What ordered pairs saitsfy the equation y equals 6x?
All those in which the first (x) value is six times the second (y) value, ie (6x, x), eg
(0,0), (2, 1/3), (3, 0.5), (6, 1), (-12, -2), (144, 24), ...
How will you get the volume of solids having regular shape?
You decide what shape to use, and look up the formula in a list of formulae.
