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What is linear equation and inequalities?

Linear equation

Linear Equations: The general form of a linear equation is ax + by + c =0 where a, b, c are constants and  . A linear equation may contain one variable or two variables

Linear equation

Example:  Solve for x:  6x-18 = 0Adding ‘18’ on both sides gives

6x = 18.  x=18/6 x = 3.Graphs: The graph of a linear equation is always a straight line

 

     

Linear Inequalities: Linear inequalities are similar to linear equations except for few differences.

Example: Solve 2x – 8 < 4 and graph the solution set on number line.

Graphs: The graph of a linear inequality is a straight line with open or closed half planes.

             Graph y < x – 2                                           Graph y < x – 2

 

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What is Integral Calculus

integration calculus

Just like how Differentiation is the slope of the tangent drawn at a point on the curve, Integration is the area covered by the curve or a graph in a plane. Integration can be used to find areas and volumes below any curve.

integration calculusIntegration is the area

Integration Area

Integral Calculus

Example:Integrate the function: ∫x3dx

So according to the above formula,

For the above example let’s go backwards,

Differentiate the function: y = x4/4 arrow

                       -> y’= x3     ->this is the question in the previous example to integrate!

    arrow    Hence differentiation and integration are reverse process to each other!

 

Example: Integrate the function ∫x-2dx

∫x-2dx= x-2+1/-2+1

                                       -> x-1/-1 + c -> -x-1 + c

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You can also Read our other blog fuctional relationship algebra

Functional relationships – Algebra homework help

Relation: When we think about our family or friends, we have different relationships with different people. Even in math, ‘Relation’ is nothing but information shared from one set to another set and they are put together in the “ordered pair (x,y)” form. Every relation is a link between two sets, set A and set B, where it represents how the numbers in each set are related to each other.

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