quiz12_soln - Math 155 Quiz 12 Name Mfi Instructions This...

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Unformatted text preview: Math 155 Quiz 12 Name: Mfi Instructions: This quiz must completed Without the use of notes or books. You may use a calcu- lator. Write clearly and show all steps. 1. (7 pts.) Consider the initial value problem df dt with initial cOndition f (1) = 0. Use Euler’s method with a time step of At = 0.25 to estimate f (2) Plot your approximate solution for 1 g t S 2 on the axes below. _1 _t I 1 1 f(’t> 1.75 1.5 fine 0. 9H3“ 0.75 0.5 0.25 1 L 1 1 1.25 1.5 1.75 2 ’6 HO {7ch .{A‘(1é+/kt) {‘(fim’zakt (2H (9 1?: o‘ 25 {125 015’ . 0.26 + 0.8.0.16: OHS 0.95 f wee-0.2.6 = 0.616 (919/6 «La/SWAN: 0.756} 2. (3 pts.) Find the analytical solution to the above initial value problem (ie. find f (t) such that%£=%andf(1)= 0.) frthflmfnc fa): 0 => 4:0 :7 ((6: «”Mti 3. (1 EC. ) Describe the process for restoring degraded environments outlined in the article. Introduce Fla/1+6 +0 ”flare m Soil/S We a? 6A CoA+CnTL out) “than FeS'tN‘C 6: CoMPlél'C Set 010 Veigfit om QC‘ [ 455% mm? ”Wham “q We“ “5 ”mm/9”“ {Po—(fag F nch/ u re Flu/+5 FemaJchL DA “to OQECDHZM" mad—C 101‘ '(FDM h ”July ”181’s“- ...
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