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a) What is the height of a rooted tree?
b) What is a balanced tree?
c) How many leaves can an m-ary tree of height h have?
the number of students present in a large class, where x represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect to the number of hours of study?
Show that the mass, momentum, and energy are constants of motion (invariants) for the KdV equation by direct differentiation with respect to time.
consider the 4 labeled points in the plane -1-1011-212. points above the x-axis have y-labels 1 and points below the
Mike's Sport Shop deposits $3,600 at the end of each year for 12 years at 7% annual interest.
353 people attend a local play at a private club. members get tickets for $2.75 while non-membrs have to pay $6.50 if the total gate for the play came to $1762.00 how many members and non-members came to the play.
a manufacturer can produce cassette tape records at a cost of $40 a piece,its estimates that if the tape records are sold for p dollar a piece.consumer will buy 120-p of them a month , express the manufacturers monthly profit as a function of pric..
Mr X has two children. One of them is a boy born on tuesday.What is the probability that the other one is also a boy?
What is the skydiver's terminal velocity? That is, in terms of the constants of the problem as the limit of t approaches infinity. How long after jumping does the skydiver reach 52 percent of the terminal velocity?
question 1. evaluate the following recurrence relations but do not solve. make sure to state for which values of n your
The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z
A rancher wants to use 200 feet of fencing to enclosed a rectangular are of 1600 square feet. What dimensions should the rectangle be?
The initial charge is Q = 0.001 C and the initial current is 0." Find the charge and current at time t
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