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- determinant of {{sin(x), cos(x), (e^x)*sin(x), (e^x)*cos(x)}, {cos(x), -sin(x), (e^x)*(sin(x)+cos(x)), (e^x)*(cos(x)-sin(x)}, {-sin(x), -cos(x), 2*(e^x)*cos(x), -2*(e^x)*sin(x), {-cos(x), sin(x), 2*(e^x)*(cos(x)-sin(x), -2*(e^x)*(sin(x)+cos(x)}}
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