The side s of a square carpet is measured at 5 ft. Estimate using the Linear Approximation the maximum error in the area A of the carpet if s is accurate to 0.4 inches. (Round your answer to three decimal places.)

Step-by-step explanation:

We are given that

Side of square carpet,s=5 ft

1 foot=12 in

We have to find the maximum error in the area of the carpet by using the linear approximation .

Area of square,A=

Substitute the values

Hence, the maximum error in the area of the carpet=

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!