GCSE Maths

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Author:
Anonymous
ID:
213205
Filename:
GCSE Maths
Updated:
2013-04-13 09:54:02
Tags:
dif cosine sine rules inequalities
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Description:
revision
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  1. what can dif be used for
    • to find the gradient of a curve at a given coordinate
    • motion of a particle 
    • turning points
    • rate of change 
    • work out maximum and minimum problems
  2. to find the gradient of a curve at a given coordinate
    • dif 
    • put x value into dy/dx equation
  3. to find turning points of an equation
    • dif
    • dy/dx = 0
    • solve to find x 
    • put x value into original equation to find y
  4. to find out whether maximum or minimum
    • dif dif
    • put x value into dif dif
    • if this > 0 minimum , < 0 maximum
  5. find the maximum/minimum in problems
    • dif 
    • dy/dx = 0 to find letter 
    • may need to put letter value back into the original equation to find area for eaxmple
  6. square root of a positive number
    can be positive or negative
  7. motion of a particle
    • original equation = displacement or s in metres (M)
    • dif = velocity in m/s
    • dif dif = acceleration in m/s2
  8. >
    greater than
  9. <
    less than
  10. double dash ones
    • mean
    • less than or equal to for double dash <
    • more than or equal to for double dash>
  11. with inequalities whenever you multiply or divide by a negative number
    flip the inequality sign
  12. x2 < 16
    • x < 4
    • x > -4
  13. open circle means
    not included in the solution
  14. shaded circle means
    included in the solution
  15. graphical inequalities method
    • convert each inequality into an equation
    • draw the graph for each equation (if the inequality is 
    • work out which side of each line you want by putting x = 0 into the inequality if it gives a false answer the origin is on the wrong side of the line 
    • shade the region this gives u

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