Mathematics, 20.11.2020 19:10 wambold3
PLEASE IM BEGGING! HELP!
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days: f(d) = 11(1.01)^d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent? (4 points)how and why the concept of private property developed
Answers: 3
![Rate \ of \ change = \frac{\partial }{\partial d} f(d)\\ = \frac{\partial}{\partial d} (1.01)^d .11\\ = 11(1.01)^d \ log (1.01)\\Average \ rate \ of \ change = \frac{\int\limits^7_2 \frac{\partial f(d)}{\partial d} \partial d}{\int\limits^7_2 \partial d } \\= \frac{\int_{2}^{7} 11(1.01)^d log_e 1.01 \ \partial d}{\int_{2}^{7} \partial d}\\= \frac{11 log_2 1.01}{5} \int_{2}^{7} 1.01^d \partial d\\= \frac{11}{5} log_e 1.01\times [\frac{1.01^d}{log_e(1.01)}]_2^7\\](/tpl/images/0918/1030/d45fa.png)
![= \frac{11}{5}[1.01^7-1.01^2]\\= \frac{11}{5}\times 0.05203\\= 0.11447 \ mm/day](/tpl/images/0918/1030/647f7.png)
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A biologist is studying the growth of a particular species of algae. She w...
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