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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
What is the answer to 3x plus 9 equals 5x minus 4?
3x + 9 = 5x - 4
3x +13 = 5x
13 = 2x
13/2 = x
so x = 6.5
How would you prove that x plus 2 is a factor of the expression 2x cubed -3x squared -12x plus 4?
By (long) division:
. . . . . . . . . . .2x2 - 7x . + 2
. . . . . ----------------------
x + 2 | 2x3 - 3x2 - 12x + 4
. . . . . .2x3 + 4x2
. . . . . .-----------
. . . . . . . . . - 7x2 - 12x
. . . . . . . . . - 7x2 - 14x
. . . . . . . . . ------------
. . . . . . . . . . . . . . . . 2x + 4
. . . . . . . . . . . . . . . . 2x + 4
. . . . . . . . . . . . . . . . -------
. . . . . . . . . . . . . . . . . . . . .0
. . . . . . . . . . . . . . . . ====
(the "dot-spaces" are used to hold the characters in the right place of the division - they should be treated as blank)
Thus since
(x + 2)(2x2 - 7x + 2) = 2x3 - 3x2 - 12x + 4
(x + 2) is a factor of 2x3 - 3x2 - 12x + 4
In the division:
- the first term of the divisor (x) is compared with the highest power of x remaining in the dividend to find the next term of the quotient;
- the whole divisor is multiplied by this;
- then subtracted from the dividend;
- Steps 1-3 are repeated until there is no first term of the divisor (x) in the dividend.
- If the dividend is '0' (ie the last multiplication resulted in what was remaining in the dividend) then the divisor is a factor of the original dividend); otherwise it is not a factor.
What are the explanations of skew lines?
In plane geometry, two straight lines are either parallel (including coincident) or they meet at a point. In three dimensions, however, there is another option: the lines could be skew. These are lines that are not parallel but which do not intersect either. One way to visualise this is to place yourself in a cuboid room facing one wall. Consider the vertical line where the wall in front of you meets the wall to your left. And then consider the line where the floor meets the wall to your right. These two lines are not parallel but they will never meet. These are skew lines.
Can an object have zero velocity at the same time that it has acceleration?
Absolutely. That's exactly the situation of a rubber ball that was tossed straight up,
at the instant when it's at the top of its arc.
Any object that's not connected to anything else and is rising or falling has constant
acceleration ... the acceleration of gravity. If it was originally launched upward, then
it eventually runs out of steam, stops, reverses direction, and starts moving down.
At that instant during its constant acceleration, its velocity is zero.
What is the smallest staircase composite?
smallest staircase composite is the number 2222 because 1 is not counted as a prime so the 1 digit prime is 2, the smalles 2 digit prime is 11 and smallest 3 digit prime is 101. hope i helped =] P.S. you could have just checked it on the internet instead of asking. oh well XD
Math words with the letter v in it?
volume, vertical angles, vertexes, volume, vertices, and tht's pretty much all i know
(Cos30)300 = (0.883) 300 = 264.88 = 265 Nt.
What are the forces that act on an Internal hinge ex. x y or moment?
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 any other relevant detail.
Your math is hard but your boyfriend is in the same math class should you drop or struggle threw?
If your boyfriend is in your math class but you're still having trouble, you should change class because things will probably get harder. If your boyfriend cared a lot about you, he wouldn't mind if you changed class.
9x+3y=-68
-2x+y=18
We are asked to solve with substitution so we first write y=18+2x.
Let us substitute this into the first equation.
9x+3(18+2x)=-68
9x+54+6x=-68
15x=-68-54=-122
so x=-122/15
and y =18+2(-122/15)==18+-244/15=270/15-244/15=26/15
So the solution is (-122/15,26/15) which is an ordered pair.
How do you solve this problem y equals x plus 9?
First, you have to be clear in your own mind of what the problem really is.
There is no problem here. There's only a statement, telling us the relationship
between two quantities, namely, that whatever one of them is, the other one
is bigger by 9.
Other than drawing a graph of this equation, there not a thing you can do with it.
There are an infinite number of pairs of numbers that 'x' and 'y' can be ... every point
on the graph is one of them.
Examples:
X . . . Y
0. . . . 9
1 . . . 10
2 . . . 11
9 . . . 18
42 . . 51
If you want to know a single number for 'x' and a single number for 'y', you need
another equation, in addition to the one given in the question.
What is another name for the root of a function?
The "root" of a function is also called the "zero" of a function. This is where the function equals zero.
The function y=4-x2 has roots at x=2 and x=-2
The function y=4-x2 has zeroes at x=2 and x=-2
Those are equivalent statements.
What is x if 39 percent of x plus x equals 1970000?
(1+0.39)x=1970000, so x=1970000/1.39=1417266.187...
Or if we're using significant figures, then x=1400000 if 39% is not exact, or x=1420000 if it is.
Why are factors in formulas squared eg gravity energy etc?
The simplest answer would be that it is simple the way it is. A linear change in distance and gravity just doesn't match up with reality. So a better answer is that this is way it must be. Nothing else really describes what is happening.
Why you solve comparing quantities questions with value x?
it is the only way to compare. if you want to know something then say you want to know... X The worldwide known symbol for variable i.e. some number
Can Dell Axim x 50 v be used as an E-reader?
Absolutely. I use mine to read books all the time.
The best software is Mobipocket. It comes with a desktop version that allows you to convert some of the trickier ebook formats to a compatible format for Mobipocket.
I also use it to read books formatted as HTML with Opera Mobile.
With Opera Mobile, I also use my Axim to read sites like [see related link 'Axim' below] , so it's a magazine reader, also.
Is y equal xsquare minus 4 a linear function?
No. That function describes a parabola who's vertex is at the point (0, -4).
What is carl friedrich gauss background?
His family was mostly German and also he was born in Germany.
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