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Find all equilibria. Classify as stable, semi-stable, or unstable using phase diagrams for the equation:
y'=(x-3)^2(x^2-1)
for all x = (x1, x2), y = (y1, y2) ∈ V , α1, α2, β1, β2 some fixed real numbers, and scalar multiplication is the usual scalar multiplication. What values of α1 , α2 , β1 , β2 make V a vector space (over R).
Pool tables are rectangular, and their length is twice the width. Find the dimensions of a pool table if it occupies 18 ft2 of floor space.
Find the number of committees from the given information - How many 5 card poker hands can be performed from a deck of 52 cards?
Assume that y0 dollars is deposited into an account paying r percent compunded continuously. If withdrawals are at an annual rate of 200t dollars (assume these are continuous), find the ammount in the account after T years.
An urn contains 6 balls numbered 1 through 6. Suppose you draw a ball from the urn, observe its number, replace the ball, draw a ball again, and observe its number. How many outputs are in the sample space?
A financial analyst and you have a client that wants to retire in 30 years with $1 Million. Your bank's interest rate is 6.7%. Design a financial plan for them. How much would be their initial deposit? Would you use simple or compound interest..
a rectangular piece of cardboard whose area is 216 square centimeters is made into a cylindrical tube by joining together two sides of the rectangle. If the tube is to have a volume of 224 cubic centimeters what size of cardboard should you start ..
during the summer heat, a 4-mi bridge expands 4 ft in lenght. assumming the bulge occurs straight up the middle, how high is the bulge?
At what point do the curves r1 = and r2 = intersect? And what is the angle of intersection?
find the probability that among six companies surveyed at random, the number that give employees 4 weeks of vacation after 15 years of employment is anywhere from 2 to 5.
A chord of length 26mm is drawn in a circle of 35mm diameter. What are the lengths of the smaller and larger arcs into which the circumference is divided?
Calculate the change in the odds of CHD in males for each additional time they exercise on average each week.
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