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Identify the Open Intervals on Which the Function y=9x18cosx,0<x<2π is y = 9 x - 18 \cos x , 0 < x < 2 \pi \text { is }

Question 5

Multiple Choice

Identify the open intervals on which the function y=9x18cosx,0<x<2π is y = 9 x - 18 \cos x , 0 < x < 2 \pi \text { is } increasing or decreasing.


A) increasing on (7π6,11π6) ;\left( \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 } \right) ; decreasing on (0,7π6) \left( 0 , \frac { 7 \pi } { 6 } \right) and (11π6,2π) \left( \frac { 11 \pi } { 6 } , 2 \pi \right)
B) increasing on (0,11π6) \left( 0 , \frac { 11 \pi } { 6 } \right) and (7π6,2π) \left( \frac { 7 \pi } { 6 } , 2 \pi \right) ; decreasing on (0,7π6) \left( 0 , \frac { 7 \pi } { 6 } \right)
C) increasing on (0,7π6) \left( 0 , \frac { 7 \pi } { 6 } \right) and (11π6,2π) \left( \frac { 11 \pi } { 6 } , 2 \pi \right) ; decreasing on (7π6,11π6) \left( \frac { 7 \pi } { 6 } , \frac { 11 \pi } { 6 } \right)
D) increasing on (0,7π6) \left( 0 , \frac { 7 \pi } { 6 } \right) and (5π6,2π) \left( \frac { 5 \pi } { 6 } , 2 \pi \right) ; decreasing on (7π6,5π6) \left( \frac { 7 \pi } { 6 } , \frac { 5 \pi } { 6 } \right)
E) increasing on (7π6,5π6) \left( \frac { 7 \pi } { 6 } , \frac { 5 \pi } { 6 } \right) and (5π6,2π) \left( \frac { 5 \pi } { 6 } , 2 \pi \right) ; decreasing on (5π6,11π6) \left( \frac { 5 \pi } { 6 } , \frac { 11 \pi } { 6 } \right)

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