Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
PART C AND D ONLY
SC 600 500 400 N 300 ! 200 100 1 (b) How many buffalo are in the herd at the beginning of 2002? 21 ✔ buffalo (d) How many buffalo will there eventually be in the herd? 200 X buffalo (e) When is the graph of N, as a function t, concave up? O (11.47, ∞) O (0, ∞) O (0, 2013) O (0, 315) 5 10 15 20 25 (0, 11.47) :0 F1 When is it concave down? O (0, 2013) O (0, 11.47) O (-∞0, ∞0) (11.47, ∞) (c) When will the number of buffalo first exceed 200? (Round your answer to the nearest whole number.) 14 X @ 2 F2 #3 30 20 F3 $ 4 t 000 000 F4 % 5 O F5 AN WebAssign Plot 000 500 400 300 200 1000 A 5 6 10 F6 & 15 7 Aa F7 20 25 * 8 DII F8 30 9
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Transcribed Image Text:SC 600 500 400 N 300 ! 200 100 1 (b) How many buffalo are in the herd at the beginning of 2002? 21 ✔ buffalo (d) How many buffalo will there eventually be in the herd? 200 X buffalo (e) When is the graph of N, as a function t, concave up? O (11.47, ∞) O (0, ∞) O (0, 2013) O (0, 315) 5 10 15 20 25 (0, 11.47) :0 F1 When is it concave down? O (0, 2013) O (0, 11.47) O (-∞0, ∞0) (11.47, ∞) (c) When will the number of buffalo first exceed 200? (Round your answer to the nearest whole number.) 14 X @ 2 F2 #3 30 20 F3 $ 4 t 000 000 F4 % 5 O F5 AN WebAssign Plot 000 500 400 300 200 1000 A 5 6 10 F6 & 15 7 Aa F7 20 25 * 8 DII F8 30 9
b lock Waterton Lakes National Park of Canada, where the Great Plains dramatically meet the Rocky Mountains in Alberta, has a migratory buffalo (bison) herd that spends falls and winters in the Park. The herd is currently managed and so kept small; however, if it were unmanaged and allowed to grow, then the number N of buffalo in the herd could be estimated by the following logistic formula. 315 1+14e-0.23t esc N= Here t is the number of years since the beginning of 2002, the first year the herd is unmanaged. (a) Make a graph of N versus t covering the next 30 year of the herd's existence (corresponding to dates up to 2032). ! 1 N 600 500 400 300 200 100 F1 600 500 400 300 200 100 O A N Q 5 N (b) How many buffalo are in the herd at the beginning of 2002? 21 ✓buffalo 2 5 10 15 20 25 -0 F2 t 10 15 20 25 30 W S X #3 80 F3 E D $ 4 C 9.00 DOD F4 R 30 LL t F 27 2 % N 600 500 400 300 200 100 O V N 600 500 400 300 200 100 F5 T G < 6 5 5 F6 B 10 10 Y 15 H 15 & 7 20 Ja F7 20 U ▬▬▬▬† ML 25 * 00 25 30 8 J 30 DII F8 1 N M ( 9 K DD F9 O < ) 0 L J F10 P A I () F11 { [ +11 (1) F12 } 1 ) delete
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Transcribed Image Text:b lock Waterton Lakes National Park of Canada, where the Great Plains dramatically meet the Rocky Mountains in Alberta, has a migratory buffalo (bison) herd that spends falls and winters in the Park. The herd is currently managed and so kept small; however, if it were unmanaged and allowed to grow, then the number N of buffalo in the herd could be estimated by the following logistic formula. 315 1+14e-0.23t esc N= Here t is the number of years since the beginning of 2002, the first year the herd is unmanaged. (a) Make a graph of N versus t covering the next 30 year of the herd's existence (corresponding to dates up to 2032). ! 1 N 600 500 400 300 200 100 F1 600 500 400 300 200 100 O A N Q 5 N (b) How many buffalo are in the herd at the beginning of 2002? 21 ✓buffalo 2 5 10 15 20 25 -0 F2 t 10 15 20 25 30 W S X #3 80 F3 E D $ 4 C 9.00 DOD F4 R 30 LL t F 27 2 % N 600 500 400 300 200 100 O V N 600 500 400 300 200 100 F5 T G < 6 5 5 F6 B 10 10 Y 15 H 15 & 7 20 Ja F7 20 U ▬▬▬▬† ML 25 * 00 25 30 8 J 30 DII F8 1 N M ( 9 K DD F9 O < ) 0 L J F10 P A I () F11 { [ +11 (1) F12 } 1 ) delete
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