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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 y plus x minus 20 equals 3?

One equation

y equals 9

x equals 14

Don't forget to add it to 23.

Determine the value of k so that the line 2x pluse 5y equals 8 and the line k x minus 4 y equals 9 are perpendicular?

2x+5y=8

8-2x=5y

y=-0.4x+1.6

for y=mx+c, m is the gradient, -2/5. The perpendicular line will have a gradient of a negative reciprocal of the first, so 5/2 or 2.5.

kx-4y=9

kx-9=4y

y=(k/4)x-2.25

as such, k/4=2.5

k=10

What is the answer for 48 equals 8x plus 2?

48=8x+2

we must isolate x :)

subtract 2 from both sides

48-2=8x+2-2

46 =8x

x is annoyed of number 8. we must exterminate it.

divide both sides by 8 :D

46/8=8x/8

46/8=x

therefore:

23/4=x

yay!

What does 6 x 25 equal?

it equals 150, according to Google Calculator :)

How do you work out the problem 2x plus 3 equals x?

2x + 3 = x

Subtract 3 from both sides so that...

2x = x - 3

Subtract x from both sides so that...

2x - x = -3

Now you have to simplify the left side so that it equals...

x(2-1) = -3

Now divide both sides by (2-1), the equation should now look like...

x = -3/(2-1)

x = -3/1

x = -3

Now obviously, you could have made (2-1) into 1 and left it as 1x = -3 so x = -3, but if the inside of that equation equaled something such as... (21-13) or something, you need to know you take the entire ( ) over to the other side. Also, don't forget to check your answer

2(-3) + 3 = (-3)

solved, it equals...

-3 = -3 so it is correct.

16 equals 2x2 plus 1?

2x2 + 1 = 16

2x2 = 15

x2 = 7.5

x = sqrt(7.5)

x = positive or negative 2.7386 (rounded)

What is the solution for X plus 7y equals 39 and 3x-2y equals 2 is?

x + 7y = 39 ....... Eq.1

3x - 2y = 2 ....... Eq.2

multiply Eq.1 with (-3) and so Eq.1 will be :

-3x - 21y = -117

3x - 2y = 2

_________________ by Elimination method ( Eq.1 + Eq.2 ) the result will we :

- 21y - 2y = - 115

-23y = -115

Y = 5

to find the value of x, put the value of y in Eq.1 :

x + 7y = 39

x = 39 - 7y

x = 39 - 7(5)

X = 4

___________________________________________________________

you can solve it in another way by using substitution method:

x + 7y = 39 ....... Eq.1 ,, you can write it in another form, x = 39 - 7y

3x - 2y = 2 ....... Eq.2

Put the value of Eq.1 on Eq.2

3(39 - 7y) - 2y = 2

117 - 21y - 2y = 2

117 - 23y = 2

23y = 115 ............ Y = 5

to find the value of X , put the value of Y in Eq.1

x = 39 - 7y

x = 39 - 7(5)

x = 39 - 35 .............. X = 4

and so in both ways....you got the same answer choose the easiest way for you :)

good luck my friend...

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.