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Question: 1. What is the minimum number of nodes and arcs that need to be deleted to reduce a full binary tree of height ≥ 2 to a forest of 4 binary trees?
2. Let G be a simple graph. Prove that G is a nonrooted tree if and only if G is connected and if the removal of any single arc from G makes G unconnected
3. Let G be a simple graph. Prove that G is a nonrooted tree if and only if G is connected and the addition of one arc to G results in a graph with exactly one cycle?
Find the area inside the circle r = 1 and outside the cardioid r = 1 + sin ?.
The Life Expectance in Years of a certain brand of clock radio is a continuous random variable with probability density function. F(x) = {2/(x+2)^2 0 If x>=0 otherwise.
Which of the following would be a valid tensor equation? You should indicate if the equation is valid; and if it is not valid, you should state why.
If the sun is above the horizon, find the length of the shadow cast by a building tall. Round your answer to the nearest hundredth.
Find the average rate of change of the percentage of e-filed returns from 2000 to 2002. Find the average rate of change of the percentage of e-filed returns from 2004 to 2006.
The International Telecommunications Union (ITU) specifies that a telephone number must consist of a country code with between 1 and 3 digits.
ABCD is a trapezoid. Describe a way of mapping each point of DC to a point of AB so that the mapping is one-to-one. Is your mapping an isometry?
Write the third and fourth columns as column vectors and determine their sum.
Find the solution of the given linear equation - Evaluate the time and the height at which she opens her parachute.
The weight of bags of fertilizer is normally distributed, with a mean of 50 pounds and a standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh between 45 and 55 pounds.
Find the open interval(s) on which the curve given by the vector-valued function is smooth. r(t) = eti - e-tj + 9tk
most railroad cars are owned by individual railroad companies. when a car leaves its home trackage it becomes part of a
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