{"result":{"text":"L equals left parenthesis 2 n plus 1 right parenthesis lambda over 4 space w h e r e space n space equals space 0 comma space 1 comma space 2 comma space 3 comma space...........\ntable attributes columnalign left end attributes row cell o r space space lambda equals fraction numerator 4 L over denominator 2 n plus 1 end fraction equals fraction numerator 12 over denominator 2 n plus 1 end fraction space space space space space space space space space space space space space space space space space space left parenthesis because space space L equals 3 m left parenthesis G i v e n right parenthesis right parenthesis end cell row cell k equals fraction numerator 2 pi over denominator lambda end fraction equals fraction numerator 2 pi over denominator 12 divided by left parenthesis 2 n plus 1 right parenthesis end fraction equals fraction numerator left parenthesis 2 n plus 1 right parenthesis pi over denominator 6 end fraction end cell row cell omega equals v k equals 100 left parenthesis 2 n plus 1 right parenthesis pi over 6 equals fraction numerator left parenthesis 2 n plus 1 right parenthesis 50 pi over denominator 3 end fraction end cell row cell table attributes columnalign left end attributes row cell F o r space space space n equals 0 comma space k equals pi over 6 comma space omega equals fraction numerator 50 pi over denominator 3 end fraction end cell row cell n equals 1 comma space k equals pi over 2 comma space omega equals 50 pi end cell row cell n equals 2 comma space k equals fraction numerator 5 pi over denominator 6 end fraction comma space omega equals 250 over 3 pi end cell end table end cell end table\ntable attributes columnalign left end attributes row cell F o r space space space n equals 0 comma space space y left parenthesis t right parenthesis equals A sin fraction numerator pi x over denominator 6 end fraction cos fraction numerator 50 pi t over denominator 3 end fraction end cell row cell F o r space space n equals 2 comma space y left parenthesis t right parenthesis equals A sin fraction numerator 5 pi x over denominator 6 end fraction cos fraction numerator 250 pi t over denominator 3 end fraction end cell end table"},"status":"ok"}