Use the graph to find the vertical asymptotes, if any, of the function.
A. none
B. y = 0
C. x = 0, y = 0
D. x = 0
Answer: D
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The graph of y = f(x) is given. Use the graph to find the function value.Find f(3).
A. 5 B. -7 C. 7 D. 1
Translate the sentence into an equation, then solve.The sum of 1 and x is the same as 10.
A. 1 + x = 10, x = -9 B. 10 + x = 1, x = 9 C. x + 1 = 10, x = 11 D. 1 + x = 10, x = 9
Find the square.(x - s)2
A. x2 - 2xs + s2 B. x2 - 2xs - s2 C. x2 - xs + s2 D. x2 + 2xs + s2
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.