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GROWTH OF A FRUIT FLY COLONY A biologist has determined that the maximum number of fruit flies that can be sustained in a carefully controlled environment (with a limited supply of space and food) is 400. Suppose that the rate at which the population of the colony increases obeys the rule
where C is the carrying capacity (400) and Q denotes the number of fruit flies in the colony at time t. If the initial population of fruit flies in the experiment is 10 and it grows to 45 after 10 days, determine the population of the colony of fruit flies at the end of the 20th day.
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Chapter 9 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)
- Consider the graphs of y = f(x) and y = g(x) in the given diagram y= f(x). y = g(x) Evaluate (f+g)(2) -5 Determine all for which g(x) < f(x) Determine all for which f(x) +3 = g(x)arrow_forwardI) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed. J) Give the interval(s) of such that g(x) > 0. Use the union symbol between multiple intervals. K) Give the interval(s) of such that g(x) <0. Use the union symbol between multiple intervals.arrow_forwardneed help on Barrow_forward
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- 2. We want to find the inverse of f(x) = (x+3)² a. On the graph at right, sketch f(x). (Hint: use what you know about transformations!) (2 points) b. What domain should we choose to get only the part of f (x) that is one- to-one and non-decreasing? Give your answer in inequality notation. (2 points) - c. Now use algebra to find f¯¹ (x). (2 points) -4- 3- 2 1 -4 -3 -2 -1 0 1 -1- -2- --3- -4 -N- 2 3 4arrow_forward1. Suppose f(x) = 2 4 == x+3 and g(x) = ½-½. Find and fully simplify ƒ(g(x)). Be sure to show all x your work, write neatly so your work is easy to follow, and connect your expressions with equals signs. (4 points)arrow_forwardFind the ane sided limit lim 2 x+1-3x-3arrow_forward
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