Tank A contains 50 lbs of salt dissolved in 100 gal of water. Tank B contains 100 lbs of salt dissolved in 100 gal of water. The mixture from tank A is pumped to tank B at the rate of 75 gal per hr, while the mixture from tank B is pumped to tank A at the same rate. Assume that the mixture in each tank is uniform by stirring. Let A(t ) and B(t ) be the amount of salt in tanks A and B after t hours, respectively.
(a) Draw a two-compartment model for A(t ) and B(t ).
(b) Use the initial conditions A(0) = 50 and B(0) =100 to solve for A and B.
(c) What are the equilibrium values of A and B?
Let x and y represent the populations (in thousands) of two species that share a habitat. For each system of equations, find and assess the stability of the equilibrium points. Remember that, for real populations, both x0 and y0 must be nonnegative for ( x0, y0) to be an equilibrium point.
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Determine if the geometric series converges or diverges. If it converges, find its sum.1 + (-8) + (-8)2 + (-8)3 + (-8)4 + . . .
A. converges, 8 B. converges, 64 C. diverges D. converges, 80
Decide whether or not the matrices are inverses of each other.
and 
A. No B. Yes
Determine the equation of the graph.
A. y = sec 2x
B. y = sec
C. y = -sec
D. y = -sec 2x
Write the first five terms of the geometric sequence with the given information.an = -2an-1; a1 = -3
A. -2, -6, -12, -24, -48 B. -3, -5, -7, -9, -11 C. -3, 6, -12, 24, -48 D. 6, -12, 24, -48, 96