We let L(t) be the fraction of the list already committed to memory at time t. So L=0 corresponds to knowing none of the list, and L=1 corresponds to knowing the entire list. The differential equation is dL/dt=k(1-L). Compile your data in a graph with t , the amount of time spent studying, on the horizontal axis, and L, the fraction of the list learned, on the vertical axis.

2. Use this data to approximate your personal k-value and compare your data with the predictions of the model. You may use numeric or analytic methods, but be sure to carefully explain your work. Estimate how long it would take you to learn a list of 50 and 100 three-digit numbers.

3. Repeat the process in Part 1 on two of the other lists and compute your k-value on these lists. Is your personal k-value really constant, or does it improve with practice? If k does improve with practice, how would you modify the model to include this?

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DTIL 2) TIL 4 Y $ 3 6 7 8 oll T = Time 25 6 7 2 6 1/1 6 TL 18 8 Pl b 8 6 15 SOLD N M N MIS 14 9 3 IC 21 17 112 1 2 C 13 6 7 14 h 5 2 b 7 8 G ko 8 -~354. 10 11 2/1 ・TILL 0962 13 8131 14 15 16 8 11 6 12 39 7-~M 3 h 5 6 7 8 5 6 7 8 Q 7 0 || 12 10 113 Is S 6 8 pl H-NM-br52 DIL 1 2160 3/11 TIL 13 14 h L NA SVI 13 191 2 5 8 6 ·∞∞∞ 9. 7 8 9 8 10 11 lo 12 MIN MO 9) T 2 8 9 에 llo 5) T ( 2 3 h 5 6 2 b L 10 10 D723LMANDS 12 13 13 16 17 18 7 8602-2234 9 10 21 13 10 TL TNM-b 2 3 4 5 5829 6 7 b 19 NM NMJSTO 10 21 21 13 4 17 19 10 20 DTIL 2) TIL 4 Y $ 3 6 7 8 oll T = Time 25 6 7 2 6 1/1 6 TL 18 8 Pl b 8 6 15 SOLD N M N MIS 14 9 3 IC 21 17 112 1 2 C 13 6 7 14 h 5 2 b 7 8 G ko 8 -~354. 10 11 2/1 ・TILL 0962 13 8131 14 15 16 8 11 6 12 39 7-~M 3 h 5 6 7 8 5 6 7 8 Q 7 0 || 12 10 113 Is S 6 8 pl H-NM-br52 DIL 1 2160 3/11 TIL 13 14 h L NA SVI 13 191 2 5 8 6 ·∞∞∞ 9. 7 8 9 8 10 11 lo 12 MIN MO 9) T 2 8 9 에 llo 5) T ( 2 3 h 5 6 2 b L 10 10 D723LMANDS 12 13 13 16 17 18 7 8602-2234 9 10 21 13 10 TL TNM-b 2 3 4 5 5829 6 7 b 19 NM NMJSTO 10 21 21 13 4 17 19 10 20

Answer rating: 100% (QA)

O 1 2 3 4 LO 5 6 7 8 14000400018000 total 53000 7000 8000 9000 10000 11000 12000 13000 rate of ret... View the full answer