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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
How would you factor x2-2x plus 3 when trying to find the zeros of a function?
That doesn't factor neatly. Applying the quadratic equation, we find two imaginary solutions: 1 plus or minus i times the square root of 2
x = 2.4142135623730951i
x = 0.4142135623730951i
where i is the square root of -1
How do you make a fraction into the simplest form?
Any fraction can be written in many different ways.
For example, 1/2 of a cake is the same amount of cake as 4/8ths, or 8/16ths. 3/4 of 100 dollars is the same as 75/100ths of 100 dollars.
We say that 1/2, and 4/8 and 8/16 are equivalent fractions. 3/4 and 75/100 are equivalent too.
If you take any fraction and multiply both the top number and the bottom number by the same amount, the fraction means the same as before. It doesn't matter what that amount is, as long as it's the same.
This also means that you can divide the top and bottom numbers by the same amount too. 12/18 = 6/9. We divided the top and bottom numbers by 2. But we can divide by 3 as well. 6/9 = 2/3. This is the simplest form we can write the fraction in.
So to turn a fraction into its simplest form, you go on dividing the top and bottom numbers by whatever whole number you can until you can't divide any more.
90/150 = 9/15 (dividing by 10)
9/15 = 3/5 (dividing by 3)
So 90/150 in its simplest form is 3/5
x + 7 + y82, and without more information it is not possible to give a better answer than that.
What are solutions to the equation parenthasesx - 5parenthases 2 equals 7?
I assume you mean...........
(X - 5)2 = 7
distribute the 2 to both the X and the - 5, dropping parenthesis
2X - 10 = 7
add 10 to each side
2X = 17
divide both sides by 2
X = 17/2
check on original equation
(17/2 - 5)2 = 7
(17/2 - 10/2)2 = 7
(7/2)2 = 7
7 = 7
checks, if I understood you correctly
What is the equation of x squared plus y squared equals 16 with a horizontal compression of a half?
In order to take your circle and squash it horizontally to 1/2 of its original width (2),
change the equation to
4x2 + y2 = 16
What are the X and Y intercept forms for 2X plus 3Y equals A?
Set y = 0: So 2x =a ie x = a/2. So the x-intercept is (a/2, 0)
Set x = 0: So 3y = a ie y = a/3. So the y intercept is (0, a/3)
How would you gaph the equation y equals 2x minuis3?
You know that y = 2x - 3, so to draw the graph:
(a) You work out where this equation meets the horizontal axis of the graph and put a mark there.
(b) You also work out where it meets the vertical axis of the graph and put a mark there.
You then draw a straight line through the two points which carries on on either side.
For (a) the equation meets the horizontal axis when y = 0.
You know that y = 2x - 3, so put y = 0 into this equation.
0 = 2x - 3
-> 3 = 2x
-> x = 1.5
So the line meets the horizontal axis when x = 1.5
For (b) the equation meets the vertical axis when x = 0
So again put that into y = 2x - 3
So y = 2*0 - 3
-> y = -3
So the line meets the vertical axis when y = -3.
Draw a line through these two points (1.5,0) and (0,-3) and there you have your graph.
There is no equation (nor inequality) in the question. There is also no unknown variable. So there is nothing to solve.
The relevant formula here is Newton's Second Law, meaning that you need to divide the force by the mass. If you want to estimate the answer in your head - if that's what you mean by "guess" - you can round the mass to 700 or 800, and the force to 1000 or 1100.
What is the square root or 5 x cubed 9 plus 5?
sqrt(5x^3+5) = sqrt(5)sqrt(x^3+1)=sqrt(5)sqrt(x+1)sqrt(x^2-x+1)
I have just factored the internal terms and still keeping the square roots. you might use these factors in solving or simplifying.
How do you know which is the r and the s in factored equations?
The Answers community requires more information for this question. Please edit your question to include more context. There is no standardisation in the use of r and s in factored equations.
That completely depends on the value of 'x', and every different value of 'x'
produces a different answer.
We suspect, however, that whatever 'x' happens to be, exponentiating it
to the 542,497 power will introduce such inaccuracy that the answer will be
worthless.
This also leads us to strongly suspect that the question is whimsical, and has
no serious useful purpose.
Belair X 6-12 is the first 6 x 12 zoom auto-exposure medium format camera.
How many gallons is in 1 cusec?
1 cusec, or 1 cubic foot per second, would be 7.48 gallons per second.
What does 14x-2y plus 7x-3y plus -3x equal to?
(14x-2y)+(7x-3y)+(-3x) = 14x-2y+7x-3y-3x
=(14+7-3)x-(2+3)y
=18x-5y
What is the result if you add 0 on each side of an equation?
The solutions of the equation (if any) remain unchanged.
How do you write 6 x 3 equals 18 in vertical form?
It is a little difficult the show this on here, but it will look like this.
6
x 3
--------
18
(Except the 6 & 18 will be lined up with the 3) - This website does not want to let me do this to show you.
