course Mth 173
m = 2281.25 (4.03 ^ 3)m = 2281.25 (65.450827)
m = 149,309.699093
149,310 – 146,000 = 3,310
I remember the problem so it's not a factor here, but remember that you need to include a copy of the problem you are solving.
The question asked for a differential approximation. You substituted 4.03 meters into the proportionality, and you got an accurate result, but did not use a differential approximation.
Class Notes #07 address the concept of the differential in a context very similar to the present. Please review that material and let me know if you have questions.
Then see if you can answer this question using a differential approximation.
This is important. It is on the test, and it's one of the central concepts in calculus.