find The domain of foy = LAL 1 21 1 1 2 +41.m for mab; for +Lol OUT 21 1-10 since toy is well defined real number -VER except >=0 , - 1 ,-10 . '. Domain = R- $0-1, -103 6-1-3x 4= 2+4x. or by+3xy= 2+4x by - 2 = 8- 41 -3 xy Gy- 2 = 21 ( 4- 34 ) - M= / 64-9 - 3y 4- 3x flay = 6 ( 2 1 - 2 = 10 =-5 4- 3 ( 21 - 2 ( hok) () = h(RQy) = R(NG+x) = JNS+x =(6+x/7 2 ( a) 2 216= 160 7 3.5.5 21 325 -160 3.5=160 3x 56 = 32 55dog ( 32) + 10 dog ( 2-3 ) - log ly?) 2 Flag ( 32 ) + 10 logix- 3) - 1 Jogly? 2 lag ( 325 ) + day ( xx - 3) 5 logy 5 2 log ( 2) + log ( x- 3)2 - dog ( y's ) = dog ( 2(2 - 372 ) - Dog ( y's ) 2 ( 2 ( x ( - 3 ) 2\f(04 Let no- of bacteria at any time "t' be N(t ) , NCO ) = 2000 0 doubling time = 50 minute tisin minute. that so the Model it follows at time 't' N ( t ) = N( O ) ( 2 ) +/50 N ( t ) = ( 20000 ) 2 1/50 2 is ton doubling 1/50= 50- 6. after 2 hours, t= 120 minutes 50 N ( 120 ) = ( 20000 ) 17 ) 120 / 50 = 105560, 63 ~ 105560 bacteria After two hours, No of bacteriais 105560 . C . m = 6, 90000+m = 90006 50 900 06 = ( 200 00) 2/50 90 006 20 000 = )/50 t/50 en / 90006 = In 2 t ( en 2) = 50 20000 en ( 900 06 / 20000 ) - ) 50 min + 108. 5 min