A yeast culture weighing 2 grams is removed from a refrigerator unit and is expected to grow at the rate of W'(t) = 0.3e0.4t grams per hour at a higher controlled temperature. How much will the weight of the culture increase during the first 7 hours of growth? How much will the weight of the culture increase from the end of the 7th hour to the end of the 14th hour of growth? The weight increase during the first 7 hours is approximately grams. (Type an integer or decimal rounded to three decimal places as needed.) The weight increase from the 7th to the 14th hour is approximately grams. (Type an integer or decimal rounded to three decimal places as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A yeast culture weighing 2 grams is removed from a refrigerator unit and is expected to grow at the rate of W'(t) = 0.3e0.4t grams per hour at a higher controlled temperature. How much will the
weight of the culture increase during the first 7 hours of growth? How much will the weight of the culture increase from the end of the 7th hour to the end of the 14th hour of growth?
The weight increase during the first 7 hours is approximately grams.
(Type an integer or decimal rounded to three decimal places as needed.)
The weight increase from the 7th to the 14th hour is approximately grams.
(Type an integer or decimal rounded to three decimal places as needed.)
Transcribed Image Text:A yeast culture weighing 2 grams is removed from a refrigerator unit and is expected to grow at the rate of W'(t) = 0.3e0.4t grams per hour at a higher controlled temperature. How much will the weight of the culture increase during the first 7 hours of growth? How much will the weight of the culture increase from the end of the 7th hour to the end of the 14th hour of growth? The weight increase during the first 7 hours is approximately grams. (Type an integer or decimal rounded to three decimal places as needed.) The weight increase from the 7th to the 14th hour is approximately grams. (Type an integer or decimal rounded to three decimal places as needed.)
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