application of derivatives, Mathematics

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Variation of parameters, In this case we will require deriving a new formul...

In this case we will require deriving a new formula for variation of parameters for systems.  The derivation now will be much simpler than the when we first noticed variation of pa

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Can you explain that a wave through the origin always has a slope of one or not?

Cartesian product of sets, The Cartesian product (also called as the cross ...

The Cartesian product (also called as the cross product) of two sets A and B, shown by AΧB (in the similar order) is the set of all ordered pairs (x, y) such that x€A and y€B. What

Inverse sine, Inverse Sine : Let's begin with inverse sine.  Following is ...

Inverse Sine : Let's begin with inverse sine.  Following is the definition of the inverse sine. y = sin -1 x         ⇔     sin y = x                for - ?/2 ≤ y ≤ ?/2 Hen

Substitution, When I complete each of the three methods, should I get the s...

When I complete each of the three methods, should I get the same x and y values?

Inverse functions, Inverse Functions : In the last instance from the pr...

Inverse Functions : In the last instance from the previous section we looked at the two functions   f ( x ) = 3x - 2 and g ( x ) = x /3+ 2/3 and saw that ( f o g ) ( x )

Find out a if f(x) is continuous at x = -2 , Example   Given the graph of ...

Example   Given the graph of f(x), illustrated below, find out if f(x) is continuous at x = -2 , x = 0 , and x = 3 . Solution To give answer of the question for each

Example of integrals involving trig functions, Example of Integrals Involvi...

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