Functions, Algebra

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Sketch the graph of hyperbolas, Example : Sketch the graph of hyperbolas. ...

Example : Sketch the graph of hyperbolas.                                  ( x - 3) 2 /25 - ( y + 1) 2 /49 =1 Solution Now, notice that the y term contain the minus sig

Solution of basic linear equation, Solve following equations. (a)   x 2 ...

Solve following equations. (a)   x 2 -100 = 0  (b) 25 y 2 - 3 = 0 Solution There actually isn't all that much to these problems.  To use the square root property a

Example of inverse functions, Here are two one-to-one functions f (x ) and ...

Here are two one-to-one functions f (x ) and g ( x ) if     (f o g )( x ) = x           AND                         ( g o f ) ( x ) = x then we say that f ( x )& g ( x ) are

Sigma notation expansion, How do you expand a sigma notation from x to x of...

How do you expand a sigma notation from x to x of a variable that is not defined in the index. For example, summation of i=1 to n of x?

Example of mixing problems, How much of a 50% alcohol solution should we mi...

How much of a 50% alcohol solution should we mix with 10 gallons of a 35% solution to get a 40% solution? Solution Let x is the amount of 50% solution which we need.  It me

Help me , The city of Eden would like to put in a new street that runs para...

The city of Eden would like to put in a new street that runs parallel to Harrington Highway because of traffic issues. The equation of Harrington Highway is y = -2x + 7. What wil

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