Math Forum / Mathematics / Algebra Help / March 2009

Please provide me guidance with this problem:
The rate of growth dP/dt of a population of bacteria is proportional
to the square root of t, where P is the population size and t is the
time in days (0<=t<=10). This is dP/dt - ksqrt(t). The initial size of

I'm looking for challenging math problems, solvable by 7th and 8th
graders, that can be assigned over a 2-3 week period as projects
throughout the year.  Here are a couple of examples of the projects I
am considering:

Hi everyone, What is the difference between linear dependency and
linear independency in a matrix? Also how do I find the rank in these
two different types of matrix?
Thanks Pedro

I guess this question is directed primarily towards Paul, if he's up for it,
since he is probably the most familiar with my chief objectives.
Let P(x) be the set of all the primes whose squares do not exceed x.
Let {p(n_1), p(n_2), ...., p(n_oo)} be the sequence of primes.

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the larger of two numbers is 2 less than 3 times the smallerA

My daughter was working on the 2006 exam problems in preparation for
the 2009 exam.  I solved most of the questions without much trouble,
but got stuck on this one:
Let ABCD be a rectangle with area 2006.  Let E be the ellipse with

Is there an algebraic formula that predicts the number of line
segments that can be drawn through any number N non-collinear points?
Through 3, one can draw 3 lines
Through 4, one can draw 6 lines