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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 do you Solve the equation w equals Cr to the negative second power for r?

Assuming the equation described is: w = (Cr)-2...

Remember that any value to a negative power can also be represented like this:

(Cr)-2 = 1/(Cr)2

Also note that we can distribute the power over multiplication. (This doesn't apply to addition!)

(Cr)2 = C2r2

So if we rewrite the equation with this, we get

w = 1/(C2r2)

If we invert both sides and then divide by C2 on both sides, we get

1/w = C2r2 → 1/(wC2) = r2

Take the square root of both sides, and you'll have the equation in terms of r:

r = sqrt[1/(wC2)]

The biggest step was realizing that anything to a negative power can be inverted to find the same with a positive power. For example, 2-2, if you type it in your calculator, gives you 0.25, or 1/4. If we do what we did above, we can take 2-2 and make it 1/(22), which also equals 1/4. This applies to any negative power, and is a powerful technique for solving equations with negative exponents.

Is A squared minus 90 a difference of squares?

Yes and no, it depends on whether you are willing to accept non-integers:

Square root of 90 is 9.486832981... so A^2 - 90 = (A - 9.486832981...)(A + 9.486832981...)

What has the author F X Soenaryo written?

F. X. Soenaryo has written:

'Sejarah perlawanan terhadap Belanda di Lombok, 1945-1949'

'Laporan penelitian pariwisata dan perubahan sosial di Kuta, 1975-1995'

What is the answer to x plus 7?

It is x + 7. It is not an equation and so cannot be solved, and it cannot be evaluated without information about x.

What is x when 10x plus 9equals 8x plus 21?

X= 6

10x + 9 = 8x + 21. subtract 8x and 9 to both sides

2x = 12. divide by 2 to both sides

x = 6

How do you calculate centimeters into cubic meters?

A meter has 100. Centimters and cube means three times. Means divide it by 100 x100 x 100

How do i simplify and identify the undefined of 6x 2-7x-3 -3x 2 plus x?

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", "times", "equals", "squared".

The question does not contain an equation nor an inequality so there is not much that can be done with it.

What is the gradient of y equals 3x plus c?

Three, each time that x changes 1 y changes 3. C is where the start is.

What actors and actresses appeared in 3 millones y el amor - 1946?

The cast of 3 millones y el amor - 1946 includes: Delfy de Ortega Alfonso Ferrari Amores Vicente Forastieri Marcelino Ornat Gonzalo Palomero Raimundo Pastore Rodolfo Rocha Oscar Soldati Jorge Villoldo

What is the solutions to x2-2x-9 equals 0?

Using the quadratic formula, x = 0.5*[2 ± sqrt(4 + 4*1*9)]

= 0.5*[2 ± sqrt(40)]

= [1 ± sqrt(10)]

= -2.162278 and 4.162278 (to 6 dp)

What is the rule if x is 1 and y is negative 5?

There are infinitely many rules that it could be.

Here are a few:

y = x - 6

y = -5x

y = 10x - 15

y = x2 + 5x - 11

y = -x - 4

If you say that x=1, then all of these turn out to have y=-5 , so there's

no way we can tell which rule those two numbers came from.

What is half - 3x equals 5?

1/2*(-3x) = 5

Multiply both sides by 2: -3x = 10

Divide both sides by -3: x = 10/(-3) = -31/3