Is F (x,y,z) = 6xy sin(2z) i + 3 sin(2z) j - 6 xy cos(2z) k conservative? If so, find a potential for it.
A) yes, (x,y) = 3
y sin(2z) + C
B) yes, 11ee7ba1_26b3_e973_ae82_2f72847b9867_TB9661_11 (x,y) = 3 11ee77e1_779c_b727_a0f8_abb3cf20b1a6_TB9661_11 y cos(2z) + C
C) yes, 11ee7ba1_26b3_e973_ae82_2f72847b9867_TB9661_11 (x,y) = 6xy sin(2z) + C
D) yes, 11ee7ba1_26b3_e973_ae82_2f72847b9867_TB9661_11 (x,y) = 3x 11ee77e1_779c_b728_a0f8_b72e09210cb2_TB9661_11 sin(2z) + C
E) No, it is not conservative.
Correct Answer:
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