Solve.
= 8
A. 
B. ?
C. 
D. 
Answer: C
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Find the sum.+43 + (+40)
A. -84 B. 3 C. 83 D. -83
Decide whether the relation is a function, and give the domain and range.
A. Function; domain: (-?, 0) ? (0, ?); range: (-?, ?) B. Not a function; domain: (-?, ?); range: (-?, ?) C. Not a function; domain: (-?, 0) ? (0, ?); range: (-?, ?) D. Function; domain: (-?, ?); range: (-?, ?)
Provide an appropriate response.For what value or values of n does (x + y)n = xn + yn, for all x and y?
Fill in the blank(s) with the appropriate word(s).
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.