" ) y ' =i sinx / 3 cosy anold covom stodog A - Find y " by implicit differentiationco 6) a bacteria culture initially contains 100 cells and grows at a rate proportional to its size . after manhour the population has increased + to 320. b 1) find an expression for the number PCt) of bacteria after + hours P (t ) = = ( JU to sliding got to 62) find the number of bacteria after 5 hours b3 ) find the rate of growth after 5 hours by ) when will the population reach 10000 " ic) the half-life of a radioactive material is 45 years as asuppose we have a loo-my sample. ging in suitspan out of Anivory (1) find an expression for the mass m(t ) that remains after years has o smit (2) howto much of the sample will remain after 200 years ? ( 3 ) safter how long will only 1may remain