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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

Is Google plex actually a number?

No, but a "googolplex" is. It is equal to 10googol, a googol being 10100.

In other words, a googolplex is equal to 101000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

Writing that number out in it's full form is impossible, as there is not enough storage space in the world for it. In fact, if you were to attempt to write out the number, there would not be enough space in the universe to write it.

It is however a number, despite the impossibility of truly conceiving it's size.

Is 1 the solution of the equation 3x plus 7 equals 2x?

An easy way to check your answers: put your answer (1) in place of your variable (x).

So, does 3x1 + 7 = 2x1?

The left hand side equals 10, but the left hand side equals 2.

1 doesn't make the equation work, so it is not a solution.

To solve the equation (or any linear equation of one variable), get the x on one side and all the other numbers on the other side by doing the same arithmetic (+,-,x,/) to both sides.

3x + 7 = 2x Subtract 2x from each side.

x + 7 = 0 Subtract 7 from each side.

x = -7

So the solution to 3x + 7 = 2x is x = -7.

Is 8 a solution of x plus 14 equals 22 yes or no?

there are two method which you can you use to show this.

first

X+14=22

by putting 8 in place of X if LHS =RHS, then it is the solution of the euation

8+14 = 22

22=22

hence LHS =RHS

What is the formula for volume of a rectangle?

The formula is:

Volume = 0Flat 2-dimensional figures don't have volume. In other words, they can't hold water.

A figure is 2-dimensional if it can be drawn on paper.

A rectangle has area ... the amount of space it covers on paper or on the ground.

The formula for the area of a rectangle is

Area = (Length) x (Width)

What is 3x 2y 8?

It is a set of three expressions , two variable and one constant.

There are no operations defined for them, not any symbols of equality or inequality.

If a right circular cone intersects a plane that goes through both nappes of the cone but not through the vertex the resulting curve will be what?

if a right circular cone intersects a plane that goes through both nappes of the cone, but not through the vertex, the resulting curve will be a hyperbola

7x2 plus 3x - 4 equals 0?

(7x - 4)(x + 1 ) making x = either 4/7 or -1

Check: (7 x 16/49) + 12/7 = 16/7 + 12/7 = 4 ok

7 + (-3) = 4 ok...and there you have it.

What is 18x 2?

Greatest Common Factor: 6

Biggest number going into both terms

6, left bracket, 3, x, plus, 2, right bracket

6(3x+2)

Is 100 x 100 1000000?

No. There are two zeroes in each multiplier so there will be 2 + 2 ie 4 zeroes in the product.

1000000 has six zeroes so is the product of 1000 and 1000

What is the value of x in 4x plus 15?

You can't answer this question without setting that expression equal to something. Right now, your equation reads 4x+15=?, essentially created a system of two variables with only one equation, which is unsolvable.

Divide x2 - x - 12 by x - 4?

(x^2 - x - 12) = (x^2 - 4x + 3x -12) = x(x -4) + 3(x -4) = (x-3) x (x-4)

Hence (x^2 - x - 12) divided by (x -4) is (x-3)

1 over tan x equals what?

1/ Tan = 1/ (Sin/Cos) = Cos/Sin = Cot (Cotangent)

What slope is 7x plus 5y equals 35?

-7/5

For equations in Standard Form (Ax + By = C), slope equals -A/B. Or you could put the equation in Slope-Intercept form (y = mx + b) by solving for y and then finding the slope (m).

What is more than infinity?

Nothing is more than infinity, nothing is longer than infinity. It is infinite, definitely.

Nothing is more than infinity. Infinity will just go on forever!

What is 4 over 30 x 100?

Whenever multiplying a fraction by an integer (in this case, the 100), my students are told to put the integer over a 1 so that they will see whether the numerator or denominator gets multiplied by the integer. (After getting used to it, the 1 becomes unnecessary.) Here is what they would do: 4/30 x 100/1 Multiply straight across, numerator by numerator and denominator by denominator (the 4 times the 100 and the 30 times the 1). You get 400 on top and 30 on the bottom. 400/30 Then you reduce the fraction by dividing BOTH the top and the bottom by the SAME number that will go into each of them. In this case, they can both be divided by 10. You get 40/3. Since another number can't go into BOTH of them at the same time, it is reduced.