CS math csudh.edu/web 15 Spring MAT171 ennings/Ch01.04-07DiscreteGrowthDrugsHalf
ID: 2872890 • Letter: C
Question
CS math csudh.edu/web 15 Spring MAT171 ennings/Ch01.04-07DiscreteGrowthDrugsHalf-LifeEquilibria/6/?us erico6&theme; &key; UeSI22awanzkH9lgm Celebrity Gossip and Entertainment News YouTube Home I Chegg. WeBWork 15 Spring MAT171 Jennings C em 6 (1 point) (This is roughly based on Exercise 1.5.5 in Calculus for the Life Sciences: a Modeling Approach by Cornette and Ackerman, but gs all the data in this problem are fake.) A mold colony on the surface of a mixture of tea and sugar has a circular shape. The radius of the circle increases as the mold grows. oblems Here is a record of its radius over a seven-day period, starting on day 0 and ending on day 6. T measures the number of days since the mold was first noticed, R s its radius in milimeters on day T. The table also shows how much the radius increases each day. day Tradius RT change R T+ -RT 1 1.2 0.55 1 1.75 1.2 2 2.95 1.2 4.15 1.2 1.2 4 5.35 1.2 6.55 6 775 1.2 The data indicate that the radius increases by exactly the same amount each day. (Real data rarely are that nice! Based on this observation a predict what R 5 should be mm b) find a formula that predicts the radius afterT days, where Tis arbitrary. T should be the only variable in yourformula. mm c find a formula that predicts the area AT of the circle of mold after T days mm' d) Suppose there are 233 mold cells per square millimeter in the colony. Find a formula that predicts the number MT of mold cells in the colony after T days. MT cells Reader OExplanation / Answer
The given problem is in Arithmetic Progression with initial value(a) =0.55 and common difference(d) =1.2
Hence, on 15th day the radius would be = a+(n-1)d where n=no.of term of progression
So,here n=16 since 15thday is 16th term in progression.
Therefore, R15=0.55+(16-1)*1.2 =18.55 --------Ans(a)
RT=R0 +T(RT+1 -RT) =0.55 +T(1.2)
Therefore RT=1.2T+0.55-----------Ans(b)
Area= 3.14(1.2T+0.55)2
=4.524T2+4.147T+0.95 ---------Ans(c)
MT = (Area in T days) * (233)
= 1054.1T2+964.62T+221.35---------- Ans(d)