AS and A Level: Core & Pure Mathematics
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 Marked by Teachers essays 3

C3 Coursework  different methods of solving equations.
5 star(s)I repeat this until I get down to increments the size of 0.00001 x F(x) 3.1 8.429 3.2 6.712 3.3 4.843 3.4 2.816 3.5 0.625 3.6 1.736 3.7 4.273 3.8 6.992 3.9 9.899 4.0 13 x F(x) 3.51 0.396649 3.52 0.166592 3.53 0.06518 3.54 0.29866 3.55 0.53387 3.56 0.77082 3.57 1.00949 3.58 1.24991 3.59 1.49208 3.60 1.736 x F(x) 3.521 0.143492 3.522 0.120375 3.523 0.097241 3.524 0.07409 3.525 0.050922 3.526 0.027736 3.527 0.004534 3.528 0.01869 3.529 0.04192 3.530 0.06518 x F(x) 3.5271 0.002213 3.5272 0.00011 3.5273 0.00243 3.5274 0.00475 3.5275 0.00707 3.5276 0.0094 3.5277 0.01172 3.5278 0.01404 3.5279 0.01636 3.5280 0.01869 x F(x)
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The Gradient Function
5 star(s)This is the formula used for this method: Gradient = Vertical (change in y axis) Horizontal (change in x axis) Therefore the gradient of the curve equals  Gradient = 124/42 = 8/2=4 This is most likely wrong and most certainly not accurate  it is only estimation. The second method, the increment method is far more accurate. Increment method  This is where you plot two points, represented by the letters P and Q, on the curve, and draw a line to join them.
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