Evaluate the integral. 

A. -  sin4 2x cos 2x -  sin2 2x cos 2x -  cos 2x + C
B. -  sin4 2x cos 2x -  sin2 2x cos 2x -  cos 2x + C
C. -  cos4 2x sin 2x -  cos2 2x sin 2x -  cos 2x + C
D. -  sin4 2x cos 2x -  sin2 2x cos 2x -  sin 4x +  + C


Answer: B

Mathematics

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Perform the indicated operation. Simplify if possible. + 

A.
B.
C.
D.

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Solve the problem.Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. By using linear regression, the following equation is obtained:  where x is entering GPA and y is current GPA. Use this equation to predict current GPA of a student whose entering GPA is 3.8.   Entering GPA Current GPA  3.53.63.83.73.63.93.63.63.53.93.93.84.03.73.93.93.53.83.74.0

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Use a calculator to find an approximate solution to the equation.   x  = 18

A. -6.000 B. 2.631 C. -2.631 D. -0.380

Mathematics