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Consider the equation
ex3 + x2 - x - 6 = 0, e > 0 (1)
1. Apply a naive regular perturbation of the form
do derive a three-term approximation to the solutions of (1).
2. The above perturbation expansion should only give you an approximation for 2 of the roots.
Apply a leading order balance argument to device suitable expansions for the other root, again in the limit e ! 0+. Again, derive a three-term approximation this third case.
3. Solve (1) numerically for e = 0.01 (use Matlab or Maple or something). Use your three-term approximation for the three roots found in Q1 and 2 and provide the error (in terms of a percentage) in each case.
Determine the linear approximation for f(x)= sin delta at delta =0
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the ratio of boys to girls in the sixth grade is 2:3 if there are 24 boys, how many are girls?
After seeing some children interacting naturally, write down those features of such interactions that make peer learning potentially a better way of learning. Another point that
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Problem1: Find the general solution on -π/2 Dy/dx +(tan x)y =(sin 2 x)y 4
a) Let V = f1, 2, :::, 7g and define R on V by xRy iff x - y is a multiple of 3. You should know by now that R is an equivalence relation on V . Suppose that this is so. Explain t
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