The measurement of the radius of the end of a log is found to be 10 inches, with a possible error of inch. Use differentials to approximate the possible propagated error in computing the area of the end of the log.
A) ±24π square inches
B) ±16π square inches
C) ±10π square inches
D) ±20π square inches
E) ±14π square inches

Question

The measurement of the radius of the end of a log is found to be 10 inches, with a possible error of  inch. Use differentials to approximate the possible propagated error in computing the area of the end of the log. ​
A) ±24π square inches 
B) ±16π square inches 
C) ±10π square inches 
D) ±20π square inches 
E) ±14π square inches

Quizplus · Accepted Answer

The Answer of The measurement of the radius of the end of a log is found to be 10 inches, with a possible error of  inch. Use differentials to approximate the possible propagated error in computing the area of the end of the log. ​
A) ±24π square inches 
B) ±16π square inches 
C) ±10π square inches 
D) ±20π square inches 
E) ±14π square inches

The Measurement of the Radius of the End of a Log