Express the integrand as a sum of partial fractions and evaluate the integral.
dx
A. ln -
+
+ C
B. ln -
+
+ C
C. ln +
+ C
D. ln -
+ C
Answer: B
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Solve the problem.A tank is designed by revolving the parabola y = 2x2, 0 ? x ? 2, about the y-axis. The tank, with dimensions in meters, is filled with water weighing How much work will it take to empty the tank by pumping the water to the tank's top? Give your answer to the nearest J.
A. 1,313,605 J B. 41,050 J C. 3,940,814 J D. 656,802 J
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A. 4?x2 + 9? B. 4x2 + 9 C. 4?x2 + 12?x + 9? D. 4x2 + 12x + 9
Use the graph to evaluate the limit.f(x)
A. 1 B. -1 C. Does not exist D. 0
Solve the triangle. Approximate values to the nearest tenth when appropriate.? = 115.4°, a = 4.50, b = 8.07
A. c = 13.7, ? = 24.1°, ? = 40.5° B. c = 16.6, ? = 20.1°, ? = 44.5° C. c = 10.8, ? = 22.1°, ? = 42.5° D. No solution