Create an Account

Already have account?

Forgot Your Password ?

Home / Questions / A rectangular plot of farmland will be bounded on one side by a river and on the other thr...

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 700 meters of wire at your disposal, what is the largest area

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 700 meters of wire at your disposal, what is the largest area you could enclose, and what are the dimensions ? a) Using x and y for for the side of the rectangle perpendicular and parallel to the river respectively, record the area A X m2 and perimeter P = Xm of the rectangular plot.
b) Using the fact that only 700 meters of wire are at your disposal express y through x: y = Use above to express area (A) as a function of x only: A =
Now maximise A, finding x max = m and corresponding Amax (use 3 significant figures) In your working remember to use Turning points and then find A" (x) and check that A" (x max)
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electri
b) Using the fact that only 700 meters of wire are at your disposal express y through x: y = Use above to express area (A) as
 
Now maximise A, finding x max = m and corresponding Amax (use 3 significant figures) In your working remember to use Turning

Apr 13 2021 View more View Less

Answer (Solved)

question Subscribe To Get Solution

Related Questions