RandQuizW4_1

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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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