Tank A contains 200 lbs of salt dissolved in 1000 gal of water. Tank B contains 300 lbs of salt dissolved in 1000 gal of water. The mixture from tank A is pumped to tank B at the rate of 750 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) = 200 and B(0) = 300 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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Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.-75a2 - 95a + 50
A. (-25a + 10)(3a + 5) B. -5(5a + 2)(3a - 5) C. -5(5a - 2)(3a + 5) D. (5a - 2)(-15a - 25)
Identify the polynomial as a monomial, binomial, trinomial, or none of these.17
A. Trinomial B. Monomial C. Binomial D. None of these
Compute the partial sum of the geometric series for the stated value of n. Round your answers to four decimal places.ak = 3
(k-1); n= 5
A. S5 = 4.44688148 B. S5 = 2.44688148 C. S5 = 7.41608148 D. S5 = 4.48148148
Solve the problem.What is the y-intercept of y = sec x?
A. 0
B. 
C. 1
D. none