Solve the problem.Find any local extrema (maxima, minima, or saddle points) of 
given that 
and 
A. Local minimum at 
B. Local maximum at 
C. Saddle point at 
D. Saddle point at 
Answer: D
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Solve the following system by any appropriate method. If there is no real number solution, so state.3x2 + y2 = 93x2 - y2 = 9
A. (0, 3), (0, -3)
B. (
, 0), (-
, 0)
C. (0, 
), (0, -
)
D. (3, 0), (-3, 0)
Perform the indicated operations and simplify the result. Leave the answer in factored form.
A. - 
B. - 
C. 
D. 
Solve the problem.A 1000-gallon holding tank contains 100 gallons of water. Initially, each gallon of water in the tank contains 3 pounds of pollutants. Water containing 4 pounds of pollutants per gallon enters the tank at a rate of 50 gallons per hour, and the uniformly mixed water is released from the tank at a rate of 25 gallons per hour. How many pounds of pollutants are in the tank after 4 hours? At what rate (in pounds per gallon) are the pollutants being released after 4 hours?
A. There are 750 pounds of pollutants in the tank after 4 hours. The pollutants are being released at a rate of 3.75 pounds per gallon after 4 hours. B. There are 180 pounds of pollutants in the tank after 4 hours. The pollutants are being released at a rate of 4.35 pounds per gallon after 4 hours. C. There are 650 pounds of pollutants in the tank after 4 hours. The pollutants are being released at a rate of 5.75 pounds per gallon after 4 hours. D. There are 250 pounds of pollutants in the tank after 4 hours. The pollutants are being released at a rate of 1.25 pounds per gallon after 4 hours.
Solve the problem.In Miguel's home town, the percentage of women who smoke is increasing while the percentage of men who smoke is decreasing. The function 
models the percentage, y, of women in this city who smoke x years after 1990. The function 
models the percentage, y, of men in this city who smoke x years after 1990. Use these models to determine when the percentage of women who smoke will be the same as the percentage of men who smoke. Round to the nearest year. What percentage of women and what percentage of men (to the nearest whole percent) will
smoke at that time? A. 2025; 23% B. 2022; 23% C. 2023; 23% D. 2024; 23%