Complete.15
gal =
qt
A. 30
B. 62
C. 124
D. 60
Answer: B
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Find the coordinates of the midpoint of the line segment joining the points.(-5, -2) and (3, 1)
A. (-2, -1)
B.
C.
D. (-8, -3)
Solve the equation on the interval 0 ? ? < 2?.cos2 ? = 3(1 - sin ?)
A.
B. {0}
C.
D. {?}
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.
Solve the logarithmic equation.log 3x = log 4 + log (x - 1)
A.
B. -4
C. 4
D. -