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

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Advance Math

  1. Let f (t) be the amount of yeast (in grams) in a culture ofyeast at time t (in minutes), and let g (t) represent the rate atwhich the culture of yeast is growing (in grams/min) at time t (inminutes).

    1. (a) Write an expression in terms of f (t) for the amount theculture grew (in grams) from 25 to 30 minutes.

    2. (b) Write an expression in terms of g (t) for the amount theculture grew (in grams) from 25 to 30 minutes.

    3. (c) Write an expression in terms of f (t) for the average amountof yeast in the culture (in grams) from 25 to 30 minutes.

    4. (d) Write an expression in terms of f (t) for the average rateat which the culture of yeast grew (in grams/minute) from 25 to 30minutes.

    5. (e) Write an expression in terms of g (t) for the average rateat which the culture of yeast grew (in grams/minute) from 25 to 30minutes.

    6. (f) Suppose at 20 minutes the amount of yeast in the culture was100 grams. Write an expression using g (t) representing the amountof yeast in the culture at 30 minutes.

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