Let f (t) be the amount of yeast (in grams) in a culture of yeast at...

Let f (t) be the amount of yeast (in grams) in a culture of yeast at time t (in minutes), and let g (t) represent the rate at which the culture of yeast is growing (in grams/min) at time t (in minutes).
1. (a) Write an expression in terms of f (t) for the amount the culture grew (in grams) from 25 to 30 minutes.
2. (b) Write an expression in terms of g (t) for the amount the culture grew (in grams) from 25 to 30 minutes.
3. (c) Write an expression in terms of f (t) for the average amount of yeast in the culture (in grams) from 25 to 30 minutes.
4. (d) Write an expression in terms of f (t) for the average rate at which the culture of yeast grew (in grams/minute) from 25 to 30 minutes.
5. (e) Write an expression in terms of g (t) for the average rate at which the culture of yeast grew (in grams/minute) from 25 to 30 minutes.
6. (f) Suppose at 20 minutes the amount of yeast in the culture was 100 grams. Write an expression using g (t) representing the amount of yeast in the culture at 30 minutes.

Expert Solution

Colby Messinger answered 2 years ago

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