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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 factor x to the fourth power minus three?

its easy just maximize the four into the irregular eight that in thus giving it nine that is only in mathematical terms people

How many real solution are in this equation 2x2 plus x-1 equals 0?

Use the discriminant to find out.

b^2 - 4ac

a = 2

b = 1

c = - 1

1^2 - 4(2)(- 1)

1 + 8 = 9 > 1

so, there are two real roots to this equation. ( two real solutions )

Why the median changes by changing the size of class intervals in frequency ditribution?

Because median is the mid of the class intervals. Therefore, it is a positional measurement. Hence, if the size of class interval increases or decreases then the middle position will also increase or decrease and thus median.

How do you solve 6y equals 12x plus 32?

6y = 12x+32

Divide all terms by 6:

y = 2x+5 and 1/3 which is now in slope intercept form

How do you log your of checkpoints?

Go under "Settings", then my "account", you will need to be referred so put the bonus code of "rod12" and put your info. You should be all set. regards, Rod

How many 2 x 4 is 40sqm?

It is a little unclear what you mean by 2 x 4. 2 x 4 is normally a measurement for the width and depth of wood in inches but I doubt you are interested in calculating an area based on depth and width. It is more likely you are interested in calculating an area based on length and width. So it becomes important to know what these measurements are. Either you have not supplied the length here or you have but failed to tell us what the unit is. 4 by 2 what? Inches?

What is 12 x to the fourth minus 3 x to the second?

12x4 - 3x2 cannot be simplified because the different exponents says that they are not like terms

Why is it that if you divide zero to any number it is equal to zero and if you divide any number to zero it is an infinite number?

Think of a pizza that has 12 slices. You will eat the slices from the result of your division.

1. In the first example, lets say you eat 3 out of the 12 slices. That is expressed as 3/12 in the math world.

1. Second example will be 0 divide by 12 (0/12 or zero divided by 12). This means you will get zero of the 12 slices. You have no slices to eat.

2. Third example is division by zero (12/0). First of all this does not exist. You cannot get 12 slices from a pizza that has 0 slices. Think of this as you got to the pizza box and you WANTED to eat 12 slices but all your friends ate all the slices before you. The pizza is gone and does not exist anymore. So 12/0 does not exist in the math world.

Dividing by 0 is undefined. It's not possible.

Ow would you would graph the linear equation y equals -2x plus 6?

y = -2x + 6

slope = m = -2 = -2/1 = rise/run

y-intercept: 6

x-intercept: 3

y = 0

0 = -2x +6

0 + 2x = -2x + 2x + 6

2x = 6

2x/2 = 6/2

x = 3

So we have two points (3, 0) and (0, 6). We can find another point using the slope -2/1.

Use the point (0, 6):

(0 + 1, 6 - 2) = (1, 4)

Draw the line that passes through the points (0, 6), (1, 4), and (3, 0).

What would each side be if there was an 8 by 8 octagon?

If the "8 by 8 octagon" refers to the distances between its opposite sides rather than opposite vertices (its principal diagonals), then the side lengths are 8*[sqrt(2) - 1] units of length.