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course MTH 173
5/12 1AM
If a small whale 6 meters long as a mass of 1900.8 kg, then what should be the mass of a geometrically similar whale 15 meters long? Using the differential estimate the weight increase as the whale grows in length from 6 meters to 6.003 meters.
SOLUTION:
6x = 1900.8 kg
x = 316.8k
x = 4752 kg
y = 316.8k
`dy/`dk = 316.8
`dy = 316.8 `dk
`dk = |6 - 6.003|
`dk = .003
`dy = 316.8 (.003)
`dy = .9504 kg"
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These proportionalities are not direct.
You need to review the associated material in the appropriate modeling project to understand the proportionality situation.
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