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a) How many edges does a tree with n vertices have?
b) What do you need to know to determine the number of edges in a forest with n vertices?
A concrete path of a fixed width will be added around a rectangular garden that measures 10 feet by 13 feet. If there is enough material to cover 108 square feet, how wide will the concrete path be?
Two particles travel along the space curves r1(t) = (t, t2, t3) and r2(t) = (1 + 2t, 1 + 6t, 1 + 14t). Find the points at which their paths intersect.
Suppose you have a pipe with circumference 8cm and length 20 cm and that 10 turns of a wire are wrapped around the pipe. What is the length of the wire?
why cant the model of the first towns population remain valid indefinitely?
a couple wants to have two children. what is the probability that a the first or the second is a boy at least one girl
Find the stationary points and linear approximating systems at each station
Interpret your results. (Explain clearly how the decision is made in terms of the null hypothesis and give a conclusion in context.)
A conducting loop in the shape of a square of edge length 12cm carries a current of 15A. A) calculate the magnitude and direction of the magnetic field at the center of the loop. B) Calculate the magnetic field at the center if the same wire is fo..
an elementary school teacher is attempting to line up 6 boys in size places. she success in placing the shortest boy
A grain silo has a cylindrical shape. Its diameter is , and its height is . What is the volume of grain that can be stored in the silo?
One week a computer store sold a total of 36 computers and external hard drives. The revenue from these sales was $28765 If computers sold for $1180 per unit and hard drives for $125 per unit, how many of each did the store sell? How many computer..
Use the fact that the derivative of the function g(x)= √ x is g'(x)=1/2√x to find the equation of the tangent line to the graph of g'(x) at the point x=25.
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