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:

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.