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Three-person Problem of Points: Pascal, Fermat and their old friend the Chevalier de Mere each put $10.00 into a pot, and agree to play a game that has rounds. Each player has the same probability of winning each round. They agree to play until someone has won 10 rounds, and that person will get the entire pot. However, they are forced to stop playing after Pascal has won 8 rounds, Fermat has won 7 rounds and the Chevalier has won 9 rounds. How should they divide the pot?
Lines- Common Polar Coordinate Graphs A few lines have quite simple equations in polar coordinates. 1. θ = β We are able to see that this is a line by converting to Car
how does sin of x equal negative 1/3
Find the normalized differential equation which has {x, xex} as its fundamental set
A circle is inscribed in a triangle ABC having sides 8cm, 10cm and 12cm as shown in the figure. Find AD, BE and CF.
(a) Find an example of groups G, H, K with K H and H G but K G. (b) A subgroup H of G is characteristic if σ(H) ⊆ H for every group automorphism σ of G. Show that eve
Scatter Graphs - A scatter graph is a graph that comprises of points which have been plotted but are not joined through line segments - The pattern of the points will defin
how do you add fraction
What is the slope of the line tangent to f(x)=3-2 ln(2x^2+4) at the point (4, f(4))
pythagoras theorem
Tests for relative minimum For a relative minimum point there are two tests: i.The first derivative, which is (dy)/(dx) = f´(x) = 0 ii.The second derivative, which i
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