Answer:

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 parent graph would be f(x) = sin(x).
The 16 coefficient represents a vertical stretch because the y-values of the graph expand out further. That is, on the parent graph, f(pi/2) = 1 while on the the function 16sin(x), f(pi/2) = 16. As you can see the graph is stretched out vertically.