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Denote by L(t) the length of a fish at time t, and assume that the fish grows according to von Bertalanffy's equation. = k(40 - L(t)) with L(0) = 6 (a) Solve the differential equation. (b) Use your solution in (a) to determine k under the assumption that L(2) = 10. Choose the graph that most resembles L(t) for this value of k. (c) Find the length of the fish when t= 10. (d) Find the asymptotic length of the fish; that is, find lim, L(t). (a) L(t) = (b) k = (Type an integer or decimal rounded to three decimal places as needed.) Choose the graph that most closely resembles L(t) for this value of k. OA. OB. Oc. OD. Ay Ay Ay 0 2040 60 80100 ó 2040 60 80100 ó 204060 8010ó0 o 2040 60 80100 (c) The length of the fish whent= 10 is (Type an integer decimal rounded to three decimal places needed. (d) The asymptotic length of the fish is (Type an integer or decimal rounded to three decimal places as needed.)

Denote by L(t) the length of a fish at time t, and assume that the fish grows according to von Bertalanffy's equation. = k(40 - L(t)) with L(0) = 6 (a) Solve the differential equation. (b) Use your solution in (a) to determine k under the assumption that L(2) = 10. Choose the graph that most resembles L(t) for this value of k. (c) Find the length of the fish when t= 10. (d) Find the asymptotic length of the fish; that is, find lim, L(t). (a) L(t) = (b) k = (Type an integer or decimal rounded to three decimal places as needed.) Choose the graph that most closely resembles L(t) for this value of k. OA. OB. Oc. OD. Ay Ay Ay 0 2040 60 80100 ó 2040 60 80100 ó 204060 8010ó0 o 2040 60 80100 (c) The length of the fish whent= 10 is (Type an integer decimal rounded to three decimal places needed. (d) The asymptotic length of the fish is (Type an integer or decimal rounded to three decimal places as needed.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Denote by L(t) the length of a fish at time t, and assume that the fish grows according to von Bertalanffy's equation. dL = k(40 - L(t)) with L(0) = 6 dt (a) Solve the differential equation. (b) Use your solution in (a) to determine k under the assumption that L(2) = 10. Choose the graph that most resembles L(t) for this value of k. (c) Find the length of the fish when t = 10. (d) Find the asymptotic length of the fish; that is, find lim,0 L(t). ..... (a) L(t) = (b) k = (Type an integer or decimal rounded to three decimal places as needed.) Choose the graph that most closely resembles L(t) for this value of k. O A. В. OC. 188= 188= O 2040 60 80100 0 2040 60 80100 O 20 40 60 80100 0 2040 60 80100 (c) The length of the fish when t = 10 is (Type an integer or decimal rounded to three decimal places as needed.) (d) The asymptotic length of the fish is (Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:Denote by L(t) the length of a fish at time t, and assume that the fish grows according to von Bertalanffy's equation. dL = k(40 - L(t)) with L(0) = 6 dt (a) Solve the differential equation. (b) Use your solution in (a) to determine k under the assumption that L(2) = 10. Choose the graph that most resembles L(t) for this value of k. (c) Find the length of the fish when t = 10. (d) Find the asymptotic length of the fish; that is, find lim,0 L(t). ..... (a) L(t) = (b) k = (Type an integer or decimal rounded to three decimal places as needed.) Choose the graph that most closely resembles L(t) for this value of k. O A. В. OC. 188= 188= O 2040 60 80100 0 2040 60 80100 O 20 40 60 80100 0 2040 60 80100 (c) The length of the fish when t = 10 is (Type an integer or decimal rounded to three decimal places as needed.) (d) The asymptotic length of the fish is (Type an integer or decimal rounded to three decimal places as needed.)
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