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Use the binomial series to expand the function as a power series. Find the radius of convergence :F(x)=1/(5+x)^6
If you know the order of the normalizer N of can you find the generators for N? Give a solid math argument why this is correct and please keep the answer as simple as possible at the same time.
Minimizing the cost
Find the probability of random co-incidence, if the probability to get a certain value in both studies was the same, I would expect to have (125/1389)*38=3.41973 data-points with a larger value than the largest value in my study
Change into symbolic notation - Roses are red and violets are blue
Linear Mappings, Differentiation and Linear Spaces, If l is a nonzero scalar linear function on linear space X (which may be finite or infinite) and a is an arbitrary scalar, there exists a vector x in X st l(x)=a
Find all Hamilton paths going from node A to node F, find the lengths of each of the Hamilton paths from node A to node F.
Sketch the graph of the given function and evaluate the height of the cliff from the word problem.
Vectors as linear combinations of the vectors
A random sample of 11 patients using the drug is selected. Find the probability that exactly two will have this mild side effect
To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located?
Find the gradient and the intercept of the following linear equation.
I get the critical points are(0,0) and(-2^1/5, 4^1/5). Then I get det(0,0)=2 and det(-2^1/5, 4^1/5)=-10, so index of the system is -8 and the index of periodic orbit is 1, so there's no periodic orbit.
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