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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

Further exploration in additional mathematics project work 3?

This would be something that goes along with your class. You could get the website from your teacher to begin.

What is the answer to y equals 5x plus 2?

There is no one answer. This is an equation for a straight line.

Is 2x equals 3y plus 10 linear or nonlinear?

2x = 3y + 10 is linear. !!!!

In straight line form it is

3y = 2x - 10

y = (2/3)x - 10/3

What is 5x equals 8 equals 98-4x?

This one looks like No Solution. This is how I read it: 5x = 8 = 98-4x. If 5x = 8, then x = 8/5 = 1 3/5 (or 1.6), substitute into 98 - 4x --> 98 - 4(1.6) = 91.6, which does not equal 8, as it should from the equation.

What values would satisfy x factorial equals y squared?

For any integer value of x ≥ 0, there are two values, ±y, such that x! = y2.

For example, if x = 3 then x! = 6 and so y = ±√6

What is Periodic neutropedia?

Periodic or cyclic neutropenia is a disorder which causes frequent infections. This condition in which neutrophils, a type of white blood cell, decrease on a regular basis is extremely rare and has been shown to be a genetic mutation.

Solve x2 - 4x - 9 equals 0 by completing the square?

x2 - 4x - 9 = 0

∴ x2 - 4x = 9

∴ x2 - 4x + 4 = 13

∴ (x - 2)2 = 13

∴ x - 2 = ±√13

∴ x = 2 ± √13

Is y equals 13x linear?

The equation y = 13x is in the form "y = mx + b" (in this case, b is zero). Therefore, the equation is linear.

What is the solution to 4x - 1 equals -5?

If 4x - 1 = -5, then adding 1 to each side gives 4x = -4 and dividing, x = -1

Is it true in an inverse variation function as x gets father from 0 to the right y gets closer to 0?

It is true that if when x is getting larger, y is getting smaller, that would be an inverse relationship.

How do you solve 3x - 16 equals 2?

3X - 16 = 2

add 16 to both sides

3X - 16 + 16 = 2 + 16

3X = 18

divide both sides integers by 3

(3/3)X = 18/3

X = 6

----------------check in original equation

3(6) - 16 = 2

18 - 16 = 2

2 = 2

-------------checks

Do cats eat rats?

yes,but only when it has nothing else avalable

What is a relational model?

A relational model is the means of ordering elements that relates to one another, called a tuple.

Multiple tuples of similar structure can be seen as a table, with rows that describe each tuple, and similar elements ordered in columns.

All operation are described as binary operation as in calculus, e.g. "Insert" is the same as addition, as a new relation is added, where the elements in the relation constitutes a new unique group of values.

Any tuple can have a relation to another tuple - such as "they belong together" or "one comes after the other".

That relations can be represented as tables is used by a number of application building tools, such as MS Access. These refer to the similar elements - the column by assigning them names. They will usually also assume a similar datatype (int, numeric text, float, code, text, etc). The relation model is entirely based on mathematics, relational calculus and relational algebra developed by Chris Data and Ted Codd at Watson Height, IBM Research Center.

The relational model does not relate to any relationship between the tables, and relationships needs to be coded by the application programmer that use codes to make e.g. a parent relates to child. The database system can implement constraints such as that every child has a parent, while not every person has a child.

The model is then used by application developers to create the user interface.

The competing model is the CODASYL network model that was made to satisfy the requirements for application support. This will provide "pointers" that can link a child to a parent, and an order line to a order. However, these does not lend themselves to allow generic tools such MS Access to make the applications, as it does not support the flexibility needed to "just make it".

How do you find the local min and max of f of x equals 2x using derivatives any help is appreciated?

The min and max is when the first derivative , or slope at any point, is zero.

For f of x = 2x first derivative is 2, so this is constant slope with no min or max as this is not zero; min is thus negative infinity and max is infinity

Find the x-intercept of the graph of -5x plus 20y equals 20?

The x intercept is where y = 0, on the x-axis. So plug in y=0 to you equation:

-5(x) + 20(0) = 20 ... -5(x) = 20...

Divide each side by -5: x = 20/-5 = -20/5 = = -4.

Therefore the x intercept is where y = 0 and x = -4 --> (-4, 0)

Send any math questions to me for answering!

What does x equal in the equation x plus 5 equals negative 13?

Set up the equation and solve:

x + 5 = -13 (next subtract 5 from each side of the equation to solve for x)

x = -18

Find the values of x in the following equation 10x plus -9 equals 59?

10x + -9 = 59

can be rewritten as

10x - 9 = 59

add 9 to both sides

10x = 68

divide both sides by 10

x = 6.8

7 -3 x equals 34?

The answer to the problem of 7-3x equals 34 is x equals -9.