HW_sol(9)

HW_sol(9) - MAC1140-24 Section 4.7 Question 1: (1 point)...

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Unformatted text preview: MAC1140-24 Section 4.7 Question 1: (1 point) [4.7.1aPT]The size, P, of a certain insect population at time t (in days) obeys the function P(t) = 35060-0“. After how many days will the population reach 630? P , clout n : 9. E ‘P : Q weak: I 11% JC=3 :3 QborégoL 0'9: Q '5 00% i7 :3 1‘11 => # = )2 0-04 5 5 E Ina , 0. on t . 0.04ln5' 7') i = L a :Iolquc Question 2: (1 pomt) 5 5 [n j [4.7.1bPT‘]A culture of N bacteria obeys the law of uninhibited growth, ,,'{ : ___§_ N (t) = Noe“. If 700 bacteria. are present initially and there are 2100 0.09 after 1 hour, how many will be present in the culture after 3 hours? B 2100e31n3 N0:%O N: N06" k k k-(n E 700e3‘nt t:L anloo=3roon—>3:e.> _ 5 [j 2 3111i N: $2100 1006 3k acne) u 700e31n3 {:5_),\1:? N: 4009. =3r00y, Question 3: (1 point) [4.7.1cPT]Iodine 1-31 is a radioactive material that decays according to A(t) = Aoe’oms‘, where AD is the initial amount present and A(t) is the amount present at time t (in days). What is the half-life of iodine 1-31? Arum; wt.“ A: i Am - -°-—°§5 P” «0055+ E ii Ac.) Pr: :2: -; Ho 2, 0.035 E _ 1 + 3 2 A ~0 055% 13502351” :) __o’ : Ab Q C 0.035 cQ/ Question 4: (1 point) I __ o 035 l’ =7 —— : fl :2, 2) (ML : -o.035t ‘9' l Ln .' " —o 055 0.055' [4.7.1dPT]Salt decomposes in water into sodium and chloride ions ac- cording to the law of uninhibited decay, S(t) = 808’“, k < 0. If the initial amount of salt is 45 kilograms and after 6 hours, 15 kilograms of salt is left, how much salt is left after 12 hours? a 45.20931) 90: 45 _ 3k _I E 453-1261;) 'E : Q a 45-, ‘5 V In I '33 L . 5 E 4536:7351) S : 7 Uké k: '2" u 458—12(1%13+:I£_> 3:? 3: 452mm: Mklz(_§) Question 5: (1 point) [4.7.2aPT]Find the exponential function, N (t) = Noe”, that satisfies 3" the conditions N(O) = 10, N(5) = 15. : 01‘; L m .2— c N(t) = 10am?” _ ,9“ (“a E N(t) = 15413” : J4 5 1 (Z) G N(t) = 1561 m )t E N(t) = 1043;” Na»: 10% No: :10 jIflN: NoLk‘t M5): 45 —> N: 45 at += ’5 k5" —> lb”: M32, 50, ,+LL LXP§W4I¢€130no+IOQ [.5 __> :9). : ‘2' i I ‘54“ 1L ‘9’ NH): 40/: fling: 5k 0?, (In 3 4—9 L : 3’ ...
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This note was uploaded on 05/23/2011 for the course MAC 1147 taught by Professor Nuegyen during the Spring '11 term at FSU.

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