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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 many meter is in kilometer?

Remember K H D | d c m. Metres is three places to the right of Kilometres. So you have to move the decimal place three times to the right. So in this case the answer is 1000 metres.

What is meant b y a change in state?

From solid to liquid,liquid to a gas, solid to a gas is called sublimation. Generally it requires adding or giving out energy depending which direction it is going.

How can I solve -8x plus 4 equals -4x?

-8x+4=-4x

Change -8x into a positive number, so that it cancels itself out..
Then add it to -4x.

So your problem should look like this:
4=4x

4 divided by 4 = 1

So X=1

When y is isolated the equation x equals 3 2y-1plus 2 is written how?

do you mean x=3(2y-1)+2?

if so, (x-2)/6=y

here are the steps:

x-2=3(2y-1)+2-2

(x-2)/3= (3(2y-1))/3

((x-2)/3)/2=y

(x-2)/3/2 also equals (x-2)/3 * 1/2

What is one solution of X2 plus X-6 equals 0?

x2+x-6=0

* * * * *

Perhaps the solution you are looking for is:

x2 + x - 6 = (x - 2)(x + 3) = 0;

whence, x = 2 or -3.

In this assignment you will be trying to find the dimensions of a regular drink can which minimizes the amount of used to make the can, and comparing it with the actual dimensions?

This isn't a proper question! I think you mean "minimizes the amount of METAL used to make the can" ....

Even this isn't a question.

However, the minimum ratio of surface area to volume - i.e. used the least metal/ aluminum etc - will be a sphere. Not very useful for a drinks can though?

What is de result of 2x plus 3 equals 9X equals?

2x + 3 = 9x start by bringing the 2x over- minus it from both sides

3 = 7x divide 7 by on sides

x= 3/7

x = .4285714285714 repeating. :)

Are pi's digits peridic?

The digits of pi are not periodic. Pi is an irrational constant, and if its digits were periodic, it could be expressed as a ratio of constant integers, meaning it would be rational.

What is the vertex y equals x2 plus 10 plus 22?

Y = X^2 + 10X + 22

set to 0

X^2 + 10X + 22 = 0

subtract 22 from both sides

X^2 + 10X = - 22

Now, complete the square by halving the linear term (10), squaring it and adding it to both sides

X^2 + 10X + 25 = - 22 + 25

factor the left side, gather terms right side

(X + 5)^2 = 3

(X + 5)^2 - 3 = 0

(-5,-3)

-------------------the vertx

How do you solve the problem 3a2 -36 plus 81 equals 0?

Divide all terms by 3:-

x2-12+27 = 0

When factored:-

(x-3)(x-9) = 0

Therefore: x = 3 or x = 9

What is the slope of 2y plus 6x equals 1?

You need to rearrange the equation so that it is in the form y=mx+b. This is the slope intercept equation for a line. In this form, 'm' is the slope.

So, for 2y+6x=1 you begin by bringing the '6x' to the other side of the equation. You do this by subtracting '6x' from both sides.

Once you do this you are left with:

2y = -6x + 1

The next step is to divide both sides by 2 in order to isolate the 'y'.

Now you have:

y = -3x + 0.5

-3 = m

0.5 = b

So your slope is -3.