PROBLEM 6: The measurement of a side of a square is found to be 12 cm, with possible error of 0.05 cm. Using differentials, a) approximate the percent error in calculating the area of the square b) and estimate the maximum allowable percent error in measuring the side if the percent error in computing the area cannot exceed 2.5%. (Note: Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage)

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.3: Solving Right Triangles
Problem 39PS: In Problems 39 and 40, use the information given in the diagram to find A to the nearest degree.
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PROBLEM 6: The measurement of a side of a square is found to be 12 cm, with possible error of 0.05 cm.
Using differentials,
a) approximate the percent error in calculating the area of the square
b) and estimate the maximum allowable percent error in measuring the side if the percent error in
computing the area cannot exceed 2.5%.
(Note: Percent error is the difference between estimated value and the actual value in comparison to the
actual value and is expressed as a percentage)
Transcribed Image Text:PROBLEM 6: The measurement of a side of a square is found to be 12 cm, with possible error of 0.05 cm. Using differentials, a) approximate the percent error in calculating the area of the square b) and estimate the maximum allowable percent error in measuring the side if the percent error in computing the area cannot exceed 2.5%. (Note: Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage)
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