Math  /  Calculus

QuestionBertalanffy growth function:
1. Find limtL(t)\lim_{t \rightarrow \infty} L(t) and interpret.
2. With L0=1 cmL_{0}=1 \mathrm{~cm}, LT=38 cmL_{T}=38 \mathrm{~cm}, graph L(t)L(t) for various kk.

Studdy Solution
Now, we are asked to graph (t)(t) for several values of kk given that 0=1 cm_{0}=1 \mathrm{~cm} and =38 cm_{}=38 \mathrm{~cm}.We can do this by substituting these values into the function and plotting the function for different values of kk.
(t)=38(381)ekt(t)=38-(38-1) e^{-k t}This step would be done using a graphing calculator or a graphing software, so it cannot be shown here.

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