Simplify the given expression. Expansion of any term is not necessary; proper recognition of the form of the expression leads to the proper result.4 sin 2x cos 2x

A.  sin 16x
B. cos 4x
C. cos 8x
D. 2 sin 4x


Answer: D

Mathematics

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Determine convergence or divergence of the series.

A. Converges B. Diverges

Mathematics

Solve the problem.How many different three-digit numbers can be written using digits from the set {5, 6, 7, 8, 9} without any repeating digits?

A. 10 B. 60 C. 120 D. 20

Mathematics

Find the x-value of all points where the function has relative extrema. Find the value(s) of any relative extrema.f(x) = x4/3 - x2/3

A. No relative extrema.
B. Relative maximum of 0 at 0; Relative minimum of -  at  and - 
C. Relative minimum of of -   at 
D. Relative maximum of 0 at 0; Relative maximum of -   at - 

Mathematics

The values of c that make the system , stable are Select the correct answer. ?

A.
B.
C. It is stable for all values of c.
D. It is unstable for all values of c.
E.

Mathematics