Solve the problem. Round your answer, if appropriate.The following table shows the rate of water flow (in gal/min) from a stream into a pond during a 30-minute period after a thunderstorm. Use the trapezoidal rule to estimate the total amount of water flowing into the pond during this period.
A. 9600 gallons
B. 8475 gallons
C. 7716.7 gallons
D. 8483.3 gallons
Answer: B
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Translate the problem to a system of equations, then solve using Cramer's Rule.Twice the water flow in the hot-water pipe is the same as three times the flow in the cold-water pipe. The combined flow is 1200 liters per hour. What is the flow in each pipe?
A. 600 liters/hr hot, 400 liters/hr cold B. 400 liters/hr hot, 600 liters/hr cold C. 720 liters/hr hot, 480 liters/hr cold D. 480 liters/hr hot, 720 liters/hr cold
Calculate.
A. -44
B. 28
C. 
D. 46
Write as the sum and/or difference of logarithms. Express powers as factors.log 
A. log(x - 1) + log(x2 + x + 1) - 3 log x B. log x3 - log 1 - 3 log x C. log(x - 1) + log(x2 + 1) - 3 log x D. log 1 - 3 log 1 - 3 log x
Write the word phrase in symbols, using x as the variable.The sum of a number and 62
A. 62 - x B. x + 62 C. 62x D. 62