Assume x and y are functions of t. Evaluate dy/dt.xy + x = 12; 
= -3, x = 2, y = 5
A. 9
B. 3
C. -9
D. -3
Answer: A
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Solve the problem.A vertical right circular cylindrical tank measures 26 ft high and 14 ft in diameter. It is full of oil weighing 
How long will it take a (1/2)-horsepower (hp) motor (work output 
to pump the oil to the level of the top of the tank? Give your answer to the nearest minute.
A. 189 min B. 11,352 min C. 378 min D. 60 min
Determine whether the specified paradox occurs.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown below for the years 1990 and 1995. 
Does the population paradox occur using Hamilton's method of apportionment?
A. Yes B. No
Provide an appropriate response.The formula for finding compound interest is A = P
nt where A is the accumulated amount, P is the principal invested, r is the rate of interest, t is the time in years, and n is the number of compounds each year. Find the accumulated amount if the principal invested is $10,000, the rate is 12%, the compounds each year is 12 (monthly), and the number of years is 6.
Fill in the blank(s) with the appropriate word(s).
Find the angle between v and w. Round your answer to one decimal place, if necessary.v = -5i + 7j,
w = -6i - 4j
A. 20.7° B. 88.2° C. 110.8° D. 90.9°