Integrate the given expression.

A. -  -  + C
B.  -  + C
C.  +  + C
D. -  +  + C


Answer: D

Mathematics

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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Asymptotes y = x, y = - x; one vertex (0, 22)

A.  -   = 1
B.  -   = 1
C.  -   = 1
D.  -   = 1

Mathematics

Find the nth term of the given infinite series for which 2 +  +  +  + ...

A.
B.
C.
D.

Mathematics

Use Bayes' rule to find the indicated probability.Among students at one college are 3800 women and 3115 men. The following table provides relative-frequency distributions for subject major for males and females at the college. MajorRelative frequency Relative frequency for women for men  Humanities 0.205 0.155Science 0.291 0.313 Social Science 0.149 0.383 Other 0.355 0.149A student is selected at random from the college. Determine the probability that the student selected is female given that he or she is a Humanities major.

A. 0.617 B. 0.113 C. 0.205 D. 0.635

Mathematics

Eliminate the parameter to express the parametric equations as a single equation in x and y.x = 7 cos t, y = 7 sin t

A. x2 - y2 = 7 B. x2 - y2 = 49 C. x2 + y2 = 7 D. x2 + y2 = 49

Mathematics