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Let f(x,y)=sin(x+y)+sinx+sinyf ( x , y ) = \sin ( x + y ) + \sin x + \sin y

Question 4

Multiple Choice

Let f(x,y) =sin(x+y) +sinx+sinyf ( x , y ) = \sin ( x + y ) + \sin x + \sin y . Then f has a relative minimum at


A) (5π3,5π3) \left( - \frac { 5 \pi } { 3 } , \frac { 5 \pi } { 3 } \right)
B) (5π3,5π3) \left( \frac { 5 \pi } { 3 } , \frac { 5 \pi } { 3 } \right)
C) (π3,π3) \left( \frac { \pi } { 3 } , \frac { \pi } { 3 } \right)
D) (π3,π3) \left( - \frac { \pi } { 3 } , \frac { \pi } { 3 } \right)
E) (5π3,5π3) \left( \frac { 5 \pi } { 3 } , - \frac { 5 \pi } { 3 } \right)

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