Use a Venn Diagram and the given information to determine the number of elements in the indicated region. n(A) = 17, n(A ? B ? C) = 8, n(A ? C) = 12, n(A ? B') = 6, n(B ? C) = 15, n(B ? C') = 12, n(B ? C) = 32, n(A' ? B' ? C') = 10. Find n(A').

A. 30
B. 27
C. 26
D. 17


Answer: B

Mathematics

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Evaluate the integral.dx

A.  cot4 x sec x + C
B. -  cot2 x - ln  + C
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Solve by substitution and check.x + y = 9 y = 2x + 3

A. (7, 2) B. (2, 7) C. (3, 6) D. (1, 9)

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Solve the problem.Suppose that the function y = f(x) is increasing on the interval (7, 9). Over what interval is the graph of  increasing?

A. (3, 5) B. (28, 36) C. (11, 13) D. (7, 9)

Mathematics