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How does graphing the order pairs of a relation can help decide if the relation is a function?

If a relation can be called a function, it means that the relation maps every element to one and only one other element. If you have some ordered pairs and see that, for example, 1 maps to 4 (1,4) and 1 also maps to 7 (1,7) , you don't have a function.


How do you explain the term 'exact differential equation'?

An exact differential equation is a type of first-order differential equation that can be expressed in the form ( M(x, y) , dx + N(x, y) , dy = 0 ), where ( M ) and ( N ) are continuously differentiable functions. An equation is considered exact if the partial derivative of ( M ) with respect to ( y ) equals the partial derivative of ( N ) with respect to ( x ), i.e., ( \frac{\partial M}{\partial y} = \frac{\partial N}{\partial x} ). This condition indicates that there exists a function ( \psi(x, y) ) such that ( d\psi = M , dx + N , dy ). Solving an exact differential equation involves finding this function ( \psi ).


What are different shapes of functions and relations?

A relation is just a set of ordered pairs. They are in no special order. Therefore there is no particular shape assigned to a relation. A function is a special kind of relation. A relation becomes a function when the x value only has one y value.


Example of emphasis by climatic order?

example of emphasis by climatic order


Can you explain the communitative property please?

It means that for certain operations, you can change the order, such that a (operation) b = b (operation) a. For example, for addition: a + b = b + a, and for some types of multiplication, ab = ba.

Related Questions

Why use partial differential equations?

A functional relation can have two or more independent variables. In order to analyse the behaviour of the dependent variable, it is necessary to calculate how the dependent varies according to either (or both) of the two independent variables. This variation is obtained by partial differentiation.


Need of project for mca students?

EXplain the order and unorder lists with suitable example


What is the basic meaning of the word partial?

The meaning of the word partial is not all there. For instance if you order an outfit online and you first get the shirt it would be a partial shipment of your order.


How does graphing the order pairs of a relation can help decide if the relation is a function?

If a relation can be called a function, it means that the relation maps every element to one and only one other element. If you have some ordered pairs and see that, for example, 1 maps to 4 (1,4) and 1 also maps to 7 (1,7) , you don't have a function.


What Generation is a 14 year old?

Generations are defined by the place in the family by chronological order. Example: Son > Father > Grandfather > Great Grandfather ... and so on. (Does not have any relation to gender; that was just an example).


What is partial ordering and total ordering?

partial ordering is the order which full fills the requierments reflexivity ,anti-symmetricity and transtivity


What is the significance of the nucleotide bases in relation to variation?

The order in which that are sequenced and variation in that order.


Definition of labor relation?

Labour Relation-relationship between employers and employees,in order for them to achieve organizational goals,


Why are tuples in a relation not ordered?

A relation is defined as a set of tuples. Mathematically, elements of a set have no order among them; hence, tuples in a relation do not have any particular order. In other words, a relation is not sensitive to the ordering of tuples. Tuple ordering is not part of a relation definition because a relation attempts to represent facts at a logical or abstract level. Many logical orders can be specified on a relation but there is no preference for one logical ordering over another.


Why the tuples in a relation are not ordered?

A relation is defined as a set of tuples. Mathematically, elements of a set have no order among them; hence, tuples in a relation do not have any particular order. In other words, a relation is not sensitive to the ordering of tuples. Tuple ordering is not part of a relation definition because a relation attempts to represent facts at a logical or abstract level. Many logical orders can be specified on a relation but there is no preference for one logical ordering over another.


In order to determine if an object is moving you must observe the object in relation to a?

In order to determine if an object is moving, you must observe the object in relation to a fixed reference point, such as another object that is not moving or the observer's own frame of reference. This comparison allows you to see if the object is changing position relative to the reference point, indicating movement.


The steps in proper order of writing a definition are?

write the classification to which the word belongs; explain any ways this word differs from others in its class; give an example.