
Concept explainers
Biology A strain of E. coli, Beu 397-recA441, is placed into a nutrient broth at Celsius and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law of uninhibited growth. The population is measured using an optical device in which the amount of light that passes through the petri dish is measured.
(a) Draw a
(b) Using a graphing utility, build an exponential model from the data.
(c) Express the function found in part (b) in the form .
(d) Graph the exponential function found in part (b) or (c) on the scatter diagram.
(e) Use the exponential function from part (b) or (c) to predict the population at hours.
(f) Use the exponential function from part (b) or (c) to predict when the population will reach .

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Chapter 4 Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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- 4 For the function f(x) = 4e¯x, find f''(x). Then find f''(0) and f''(1).arrow_forwardSolve the next ED: (see image)arrow_forwardWrite an equation for the polynomial graphed below. It will probably be easiest to leave your "a" value as a fraction. 8 7 + 9+ H 6 5 4 3 + 3 2 1 (-30) (-1,0) (1,0) (3,0) + -5 -4 -3 -2 2 3 4 7 2 -1 -2 3 (0,-3) f(x) = 456 -4 -5 -6+arrow_forward
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