Monday, March 31, 2014

Tranformation

                                           

                                          Tranformations


                                                                          

Thursday, March 20, 2014

Linear Programming

                                               

Vertices:

     (0,6)


    (0,0)

    (6,0)


Constraints
Objective Function: 
x ≥ 0
y ≥ 0
x + y ≤ 6








Vertices:




Constraints
Objective Function: 
x < 5
y ≥ 4
-2x + 3y < 30







Vertices:




Constraints
Objective Function: 
x ≥ 1
y ≥ 2
6x + 4y < 






Vertices:





Constraints
Objective Function: 
x ≥ 0
y < 8
-2x + 3y ≤ 12








Vertices:




Constraints
Objective Function: 
x ≥ 0
y ≥ 0
4r + 4y < 20
x + 2y < 8






Vertices:




Constraints
Objective Function: 
x ≥ 0
2x + 3y > 6
3x - y < 9
x + 4y < 16





Wednesday, March 5, 2014

Graphing Exponential Growth/Decay

Graphing Exponential Growth/Decay

 
Define : Any quantity that grows or decays by a fixed percent at regular intervals is said to possess exponential growth or exponential decay.
 

 
 
Example:
when a > 0 and the b is between 0 and 1, the graph will be decreasing (decaying).
For this example, each time x is increased by 1, y decreases to one half of its previous value.

Such a situation is called Exponential Decay.
 
Example:
when a > 0 and the b is greater than 1, the graph will be increasing (growing).
For this example, each time x is increased by 1, y increases by a factor of 2.

Such a situation is called Exponential Growth.