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Spanning tree games The following figure depicts a network of roads connecting the capital city, Washington, with three nearby towns, Bethesda, Silver Spring, and McLean.
The towns are responsible for maintaining the roads between themselves and the capital. The maintenance cost of every segment of road is listed as a unit.
In the figure, a large dot indicates a vertex at which a town is located, and a small dot indicates a vertex at which no town is located.
Define c(S) as the minimal cost required for all the towns in coalition S to be connected with the capital. Write down the coalitional function.
A wrench 0.6 meters long lies along the positive -axis, and grips a bolt at the origin. A force is applied in the direction of at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the..
Find the Taylor polynomial of degree n approximating the given function near x = 0. Using a graphing utility, sketch the given function and the Taylor approximation on the same coordinate system.
Problem on speed.
Find the future value of an ordinary annuity that has $270 monthly payments for 9 years if the account receives 3 3/4% interest.
Given the gamma functionshow G(z+1)=z!
Develop a tree diagram for tossing two, eight-sided gaming dice to figure out how many possibilities there are. Define Tree Diagram and Dice Tossing
Estimate rate of changes.
Four marbles are chosen without replacement from a box containing 11 red, 9 blue, and 4 yellow marbles. Let X be the number of blue marbles chosen.
which of the following describes the graphs of 2x+5y=9 and 10x=4y+18?
In a binary tree with exactly 15 internal nodes, 10 of them have 2 children, and the other 5 have 1 child. How many leaf nodes are there in the tree.
Find an estimate of the INSTANTANEOUS SPEED at Time = 16 seconds. Not the average speed up to that point, but using derivatives to calculate speed at a certain time point.
Creating matlab code using these linear algebra concepts. 1500 points for help with any of these! Preferably all but I've posted this multiple times and it seems no one can help
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