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Question: Let G be a connected graph with no odd cycles. Let x beavertex of G. Let X be all vertices at an even distance from x, and let Y be all vertices at an odd distance from x. Prove that G is bipartite with parts X and Y.
Estimate the MSE, MAD, cumulative error and average error
Select 1 of the topics listed below, research the topic, and discuss how it is being used in math classrooms today. Include the list of references used to obtain the information.
This function models the amount of daylight in Boston when t records the day of the year. How much daylight is there for t=1, t=365/2, t = 35?
A 2kg block sitting on a horizontal surface is subjected to a horizontal force of 7.5 N. If the resulting acceleration of the block is 3 m/s square, what is the magnitude of the friction force opposing the motion of the block?
If the store purchases a product at a wholesale cost of $1.65, and it is sold at $2.20, what is the gross profit percentage?
from a window 33 above the street the angle of elevation of a building across the street is 46 degrees, the angle to the base of the building depression is 18 degrees. Find the height of the building across the street.
Approximate f by a taylor polynomial with degree n at the number a, and use taylors inequality to estimate the accuracy of the approximation f(x)=T(x) when x lies in the given interval
In a Gallup poll of 1,038 adults, 540 said that second-hand smoke is very harmful. What is the percentage of adults who said second-hand smoke is very harmful?
Construct a niche overlap graph for six species of birds, where the hermit thrush competes with the robin and with the blue jay.
Three congruent circles with radius 5 are tangent to each other. The circles are enclosed in an equilateral triangle. What it the perimeter of the triangle?
Program a Monte Carlo model for options on Energy. It should be mean-reverting and include spikes. Give several alternative structures. How much would be issued in each tranche and what coupon would each tranche pay
applications of exponential function principal rate time.a person deposits 3000 in a bank account which pays 3 annual
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