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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 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!

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.

What does 6 x 25 equal?

it equals 150, according to Google Calculator :)

What is 7900 times 3.14?

Wikianswers calculator says 7900 * 3.14 = 24806.

Why do we find the limit of a function?

Typically, it's to give you an idea of a function graphically. Sometimes you deal with functions that are really hectic in design and they don't really have all the points smoothly in place (for example, a graph with an empty point or ^, a peak). A limit gives you an idea of what's happening with the graph as you get close to that point or area (as with infinity not being an actual point), hence the "as x approaches N," N being either some number, or negative or positive infinity.

What statement must you write before differentiating from first principles to show your knowledge of the topic?

You should generally state that the function is continuous and differentiable over the interval you are using (or throughout the entire function).

How do you solve competitive maths questions more effectively?

DO ALGEBRA!

If you don't know algebra, ask your mom and dad or attend a class on algebra or LOOK IT UP ON THE COMPUTER!

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.

Can you explain what a borehole log is?

A borehole geophysical log is the science of recording and analysing measurements of physical properties made in wells or test holes.

Borehole Geophysical logs provide a borehole record of the lithology, fractures, permeability, porosity and water quality.

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.

-3y plus 11 equals 20?

y=-3

-3 times -3= 9, 9+11= 20.

-3y + 11 =20

subtract 11 from each side, then -3y = 9

divide each side by -3, then y = -3

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 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'