Without graphing the function, determine its amplitude or period as requested.y = -2 cos xFind the period.

A. ?
B. 2
C.
D. 2?


Answer: D

Mathematics

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Use integration by parts to establish a reduction formula for the integral.

A.  = - 2xn-1 e- x2 - 2(n - 1) 
B.  = n xn-1 e- x2 + 2n 
C.  = - xn e- x2 +  
D.  = - xn-1 e- x2 +  

Mathematics

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

? If  gives rise to a (constrained) relative extremum of  subject to the constraint , then ,  and , simultaneously. ? A. Let  and , then the point  gives rise to a (constrained) relative extremum(minimum),  and , so the statement is false.
B. Let  and , then the point  gives rise to a (constrained) relative extremum(minimum),  and , so the statement is true.

Mathematics

Solve the equation on the interval 0 ? ? < 2?.2 sin2 ? = 3(cos ? + 1)

A.
B.
C.
D.

Mathematics

Find the domain of the function.f(x) = 

A. {x|x ? 0} B. all real numbers C. {x|x > -15} D. {x|x ? -15}

Mathematics