Determine if the graph represents y as a function of x.
A. Function
B. Not a function
Answer: A
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Solve the problem.A water tank is formed by revolving the curve y = 6x4 about the y-axis. Water drains from the tank through a small hole in the bottom of the tank. At what constant rate does the water level, y, fall? (Use Torricelli's Law: dV/dt = -m.)
A. =
B. =
C. =
D. =
Use the fundamental counting principle to count the number of outcomes. A local department store sold carpets in 3 sizes. Each carpet came in 2 qualities. One size of carpet came in 5 colors. The other sizes came in 3 colors. How many choices of carpet were there?
A. 28 B. 27 C. 22 D. 30
Simplify.3log3 (4x - 2)
A. 3(4x - 2) B. 1 C. 4x - 2 D. 3
Calculate the average rate of change of f on each interval. What happens to this average rate of change as the interval decreases in length?f(x) = -4x2 + x4
(i) [-2.1, -1.9] (ii) [-2.01, -1.99] (iii) [-2.001, -1.999]
A. (i) 0.04; (ii) 0.0004; (iii) 0.000004; approaches 0. B. (i) -0.04; (ii) -0.0004; (iii) -0.000004; approaches 0. C. (i) -79.1995; (ii) -799.92; (iii) -7999.992; approaches 0. D. (i) -7.92395; (ii) -7.99920400; (iii) -7.99999200; approaches -8.