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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 limit of x squared plus four x plus four all over x squared minus 4 as x approaches 2?

The "value" of the function at x = 2 is (x+2)/(x-2) so the answer is plus or minus infinity depending on whether x approaches 2 from >2 or <2, respectively.

A derivative is to the rate of change as an integral is to?

A derivative is to the rate of change as

an integral is to area/volume.

What is the possible values for x if x2 plus 5x equals 6?

Well, solve for 0 and you get X^2 + 5x-6=0

Now you can use the quadratic formula or just do reverse F.O.I.L - look up both.

If you practice enough, you don't even have to think about.

So you get (x-1)(x+6)= 0

or x=1, x=-6

enjoy. But really, practice and it becomes a piece of cake.

What is n over 18 x 6 over n to the 4th power?

(n/(18*6))/n4=

(n/108)/n4 ;Multiply 18 and 6

(n/108)*(1/n4) ;Multiply by the reciprocal of n4, which is just 1 over n4

n/(n4*108) ;The n4 will go in the bottom of the fraction

1/(108n3) ;n over n4 will give you 1 over n3

What is the solution to x y 5 x - 3y -3?

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", "squared", "cubed" etc. Please use "brackets" (or parentheses) because it is impossible to work out whether x plus y squared is x + y2 of (x + y)2.

Is 1 GB equal to 512 mg?

GB have nothing to do with mg.

GB stands for GigaByte while mg stands for milligram.

If your question is "Is 1GB equal to 512 MB", the answer is no.

1GB is equal to 1024 mb.

No. In the American system, 1024 MB = 1GB. In the Asian/Japanese (I think) system, it's 1000 MB to 1 GB.

Symbol of length?

The symbol for feet is one apostrophe, as in 15 feet = 15'

The symbol for inches is two apostrophes, as in 15 inches = 15"

Ten x squared minus 17 x equals 63?

actually,

10x squared minus 17 equals 63 would come out to x equals the square root of 8.

to work this out, you would first at 17 to both sides to get 10x squared alone.

63 plus 17 equals 80. you now have 10x squared equals 80. then divide each side by ten to get x squared alone. 80 divided by 10 equals 8. now you have x squared equals eight. finally, to find x, you find the square root of each side. x squared's square root is x, and 8's square root is 2.82842712 but I'm assuming you only have to write out x=√8.

but the other answer was a good try:)

Improved Answer:-

10x2-17x = 63

10x2-17x-63 = 0

When factored: (5x+9)(2x-7) = 0

Therefore the roots of the quadratic equation are: x = -9/5 and x = 7/2

2x plus y equals 5 and 2y plus 4x equals 10?

Indeterminate: possible solutions: x = 1, y = 3; x = 2, y = 1; x = 3, y = -1 etc

3x plus 4 equals 2x-3?

3x + 4 = 2x - 3

Subtract 2x from both sides: x + 4 = - 3

Subtract 4 from both sides: x = -7

How do you solve this equation x - 5 3?

if you meant x-5=3, the answer is 8. add 5 to both sides to cancel out one. you have a typo

you have no friends

proper sum

x-5=3

x=3+5(signs change)

x=8

Is -2.13 irrational?

No, since it can be written as a fraction, -213/100.

What is the Domain and range of x y2?

x=y^2 may be written as y=+/-sqrt(x) The domain for sqrt(x) is [0, infinity). The range is also [0, infinity) However, y=+/-sqrt(x) is not a function, because one element in the domain has two values in the range set.

What is the graph of a gaussian function?

It's like a bell curve; there's a high point in the middle with both sides dropping off symmetrically away from it and then flattening out as you move away from the drop offs.

What is the set of all points representing solutions?

The solution set is the set of all points representing solutions.

How Do you Factor 12X Squared - 28X - 15?

12x2 - 28x - 15
= 12x2 - 18x - 10x - 15
= 6x(2x - 3) - 5(2x - 3)
= (6x - 5)(2x - 3)

What is the integral of underroot tanx plus underroot cotxdx?

It isn't clear what you mean by "underroot"; I am not aware of a mathematical function by that name.

Which coordinate point lies on the graph with a equation of D equals 6t 32?

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", "squared", "cubed" etc.


There is no symbol between 6t and 32.



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", "squared", "cubed" etc.


There is no symbol between 6t and 32.



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", "squared", "cubed" etc.


There is no symbol between 6t and 32.



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", "squared", "cubed" etc.


There is no symbol between 6t and 32.