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  3. consider the function on the interval (0, 2Ï€).

Consider the function on the interval (0, 2Ï€). f(x) = sin(x) cos(x) + 2 (a) Find the...

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Basic Math

Consider the function on the interval (0, 2Ï€).

f(x) = sin(x) cos(x) + 2

(a) Find the open interval(s) on which the function isincreasing or decreasing. (Enter your answers using intervalnotation.)

increasing    

( )

  
decreasing    ( )  



(b) Apply the First Derivative Test to identify all relativeextrema.

relative maxima    (x, y) =
  
(smaller x-value)
(x, y) =

( )

  		(larger x-value)
relative minima(x, y) =
  
(smaller x-value)
(x, y) =

​

  
(larger x-value)

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