Question

In a comroled aboratory esperiment veast cel: are arown in an automaled cel outure ten tat coues the number P of cel: present al hourty intervals he number after t hours sshown in She accomparyirg ngure. Complete parts (a) through (c belowc a Expan what is meart by the denvatve P4 What are ts unts? Chocse the com4d snswr teows A. The dartvatva F(4) raprants tha number ef cols at t-4 oc The datvatue P4oonte the avorane number of cok fromt00. QD. The derteatve P ol charge of tre number of cels trom 1- D tot -4 reterts the average rat The unit cf the derwative P(4) are he number of celk ger hour b. cis P2: or Pay Gve a resson for your amewer A. P'2 s age because the slope cf the praph of Fit preater at-2han att-3. B. P3 Isarger bacause the slope or the graph of Fit) s greaner att-3than att-2 gan hy P-20 40-661-41 Find the inctontanaoue rare of orowth wtant-4 hours TA quadratic arv cactuing the tnd of tha caa points The startanecua rate of gyawh ia In a comroled aboratory esperiment veast cel: are arown in an automaled cel outure ten tat coues the number P of cel: present al hourty intervals he number after t hours sshown in She accomparyirg ngure. Complete parts (a) through (c belowc a Expan what is meart by the denvatve P4 What are ts unts? Chocse the com4d snswr teows A. The dartvatva F(4) raprants tha number ef cols at t-4 oc The datvatue P4oonte the avorane number of cok fromt00. QD. The derteatve P ol charge of tre number of cels trom 1- D tot -4 reterts the average rat The unit cf the derwative P(4) are he number of celk ger hour b. cis P2: or Pay Gve a resson for your amewer A. P'2 s age because the slope cf the praph of Fit preater at-2han att-3. B. P3 Isarger bacause the slope or the graph of Fit) s greaner att-3than att-2 gan hy P-20 40-661-41 Find the inctontanaoue rare of orowth wtant-4 hours TA quadratic arv cactuing the tnd of tha caa points The startanecua rate of gyawh ia

Answer 1

(a)

we know that

derivative is the instantaneous rate of change

and P'(4) is the derivative

so, option-B.................Answer

(b)

We can see that curve is increasing or moving upward very rapidly as t increases

so,

P'(3) must be greater than P'(2)

so, option-B........Answer

(c)

we are given equation as

P(t) 20.49t - 69.6t41.83

Firstly, we can find derivative

P(t)20.49 x 2t 69.6(1)0

now, we can plug t=4

and we get

P(420.49 x 2(4) 69.6(1)+0

............Answer

P(494.32