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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 formula that is used to find the roots of equations like 5x2 - 2x - 6 that are not easily factored?

This is not an equation, since it doesn't have an equal sign. If you want to factor it, you can convert it to the equation 5x2 - 2x - 6 = 0. Any equation of this type must have zero to the right. Now that the equation is in "standard form", use the quadratic formula. Since typing it up here will be messy, look it up here:

http://en.wikipedia.org/wiki/Quadratic_equation#Quadratic_formula

In the above example, the coefficients are a = 5, b = -2, c = -6.

How do you convert 4x-2y equals 6 into y equals mx plus b form?

The process is called "Solve the equation for 'y'."

4x - 2y = 6

Subtract 4x from each side:

-2y = -4x + 6

Divide each side by -2 :

y = 2x - 3

How do you solve and graph -2y plus 9-3?

There are two expressions in the question but no equation - so nothing to solve.

HOW do you divide x3 - 7x plus 6 by x-2?

This can be done using long division. That's rather hard to depict here though, so to run through it verbally:

Take (x - 2) and multiply it by a factor that gives us the term (x3 - 2). That factor would be x2, making that term (x3 - 2x2). Subtract that result from our initial equation. This gives us:

-2x2 - 7x + 6

Now repeat that process, finding a factor by which to multiply (x - 2) which will give us a term that is equal to the first term of our new expression. That factor would be -2x, giving us (-2x2 + 4x). Again subtract it from our equation, and we get:

-11x + 6

Again we repeat, this time multiplying our divisor by -11, giving us (-11x + 22). Subtract it, and we get:

-16

And that's our remainder, as we're now out of terms. Now we add up the terms and we get:

x2 - 2x - 11, with a remainder of -16. That could be expressed as:
x2 - 2x - 11 - 16 / (x - 2)

Why was the abacus invenented?

People realized that they could only count so high with their fingers and toes, so the abacus was invented as an early calculator.

What is the equation of the curve yx2 plus 2x plus 1 when y1?

Without an equality sign the given terms of an expression can't be considered to be an equation and so therefore no solution is possible.

Is the inverse a function?

a relation that is the inverse of the original function. So the variables ( x and y) are swapped. xcoordinatesbecomes ycoordinatesand vice versa.

f(x) = 2x +5

inverse f(x) = (x - 5)/2

How combinatorics plays an important role in Discrete Mathematics?

Combinatorics play an important role in Discrete Mathematics, it is the branch of mathematics ,it concerns the studies related to countable discrete structures.

For more info, you can refer the link below:

What the solution to the given quadratic 2x2 plus x-1 equals 0?

Using the quadratic formula where a=2, b=1, c=-1

x = [-b +- SQRT (b2-4ac)]/2a

Plugging in the coefficients a,b,c we solve for x and get:

x = 1/2 and x = -1

What is 1 kilogram minus 400 grams?

There are 1000 grams in one kilogram. Therefore, 1 kilogram - 400 grams is equal to 1000 - 400 = 600 grams.

How do you log on to the Interenet?

Go to a place where there is wifi. Make sure that your device has wifi turned on. Your device will probably log on automatically. If not, then try clicking on the internet explorer icon, or look for an icon that says something like, "connect to the internet". If that still doesn't work, then ask yourself the question, "do I have an ISP, which stands for internet service provider?" Maybe you are not in range of wifi, in which case, you will need an ISP.

How do you solve 2x plus 4?

It all depends what x is equal to.

But let's say you know what x is.

1. Multiply x by 2

2. Add 4 to step one's result

3. You've got your answer!