Fill in the blank with one of the words or phrases listed below. Choices may be used more than once or not at all.
A set of ordered pairs is called a(n)
.
A. range
B. relation
C. function
D. domain
Answer: B
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Solve the problem.A 1,000 gallon tank is filled with pure water. A salt solution with a concentration of 11 g/gal flows into the tank at a rate of 8 gal/min. The thoroughly mixed solution is drained from the tank at a rate of 8 gal/min.(a) Write an initial value problem for the mass of the salt.(b) Solve the initial value problem.
A. (a) m'(t) = -0.008m + 88, m(0) = 0 (b) m = -11,000e-0.008t + e-0.008 B. (a) m'(t) = -0.008m + 11,000, m(0) = 1,000 (b) m = 11,000e-0.008t + 88 C. (a) m'(t) = 0.008m - 88, m(0) = 11 (b) m = -88e0.008t + 88 D. (a) m'(t) = -0.008m + 88, m(0) = 0 (b) m = -11,000e-0.008t + 11,000
Solve the problem.Suppose you would like to cross a 222-foot wide river in a boat. Assume that the boat can travel 33 mph relative to the water and that the current is flowing west at the rate of 7 mph. If the bearing is chosen so that the boat will land at a point exactly across from its starting point, how long will it take for the boat to make the crossing? Give your answer to the nearest second.
A. 2 sec B. 9 sec C. 19 sec D. 5 sec
Use algebraic and/or graphical methods to solve the inequality. +
? -
A. -4 ? x < -2 or -2 < x ? 1 B. x ? -2 or 1 ? x < 2 C. -4 ? x < -2 or 1 ? x < 2 D. x ? -4 or -2 < x ? 1 or x > 2
Use the graph of the relation to identify the domain and range.y = x3 - 2
A. domain: (-?, ?) range: (-?, ?) B. domain: (-?, ?) range: (2, ?) C. domain: (-2, ?) range: (-?, ?) D. domain: (2, ?) range: (-?, ?)