Graph.y2 - x2 - 8y + 6x - 42 = 0 
A. 
B. 
C. 
D. 
Answer: D
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Integrate the function.
A. 
csc4 x cot x + C
B. - 
csc4 x + C
C. - 
cot3 x + C
D. - 
csc3 x + C
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.
Use a scientific calculator and common logarithms or natural logarithms to evaluate. Round to four decimal places. log984.80
A. 9.4222 B. 2.0209 C. 0.4948 D. 1.9284
Solve the problem.Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 11 miles with the wind, and in the same amount of time runs 6 miles against the wind. What is the rate of the wind? (Round your answer to the nearest tenth, if necessary.)
A. 2.5 mph B. 1.5 mph C. 5 mph D. 17 mph