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Erstellt von Mikko Holden
vor fast 7 Jahre
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Frage | Antworten |
Equation of a Line (parallel) | Parallel lines have the same gradient. y-y1 =m(x-x1) OR- Substitute the gradient and co-ordinates into the equation to find the y-intercept. |
Equation of a line (perpendicular) | The gradients are the negative reciprocal of the other line. m1 * m2 = -1 Substitute the gradient and co-ordinates into the equation to find the y-intercept if you need to. |
Graph of 1/x | Plot a table of points. This will help to draw it. Never reaches (0,0). Draw the graph according to your points. Also known as a reciprocal graph. |
Exponential Graphs | Plot a table of points. This will help to draw it. e.g. y=3^x is an exponential graph. Draw the graph according to your points. |
Velocity Time Graphs | Gradient of the line = acceleration The total area of the graph = total distance If you don't know the equation of a trapezium (area), split into triangles and squares to find the area. If curved - draw a tangent and find the gradient of it. Also, split the graph into triangles and rectangles to find the area. |
Inequality Graphs and regions | Draw the line as if it was a y=mx+c line. If it is greater than or equal to, or less than or equal to - draw it with a solid line. If it is > or < - draw it with a dotted line e.g. - - - - - Shade the region that is instructed - e.g. 2 and lower would be x<2 |
Circle equations | centre=origin radius = x^2 + y^2 = r^2 sqrt r^2 |
Trigonometry Graphs (sine) | sin (x) = 0° = 0 90° = 1 180° = 0 270° = 1 360° = 0 etc. |
Trigonometry Graphs (cosine) | cos (x) = 0° = 1 90° = 0 180° = -1 270° = 0 360° = 1 etc. |
Triganomic graphs (tan) | Tan (x) = 0° = 0 90° = N/A 180° = 0 270° = N/A 360° = 0 |
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