The measurement of a side of a square is found to be 10 centimeters, with a possible error of 0.07 centimeter. (a) Approximate the percent error in computing the area of the square. % (b) Estimate the maximum allowable percent error in measuring the side if the error in computing the area cannot exceed 2.7%. %

a) , b)

Step-by-step explanation:

a) The area formula for a square is:

The total differential for the area is:

The absolute error for the area of the square is:

Thus, the relative error is:

b) The maximum allowable absolute error for the area of the square is:

The maximum allowable absolute error for the length of a side of the square is:

Lastly, the maximum allowable relative error is:

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step-by-step explanation: