Answer:
x = 500 yd
y = 250 yd
A(max) = 125000 yd²
Step-by-step explanation:
Let´s call x the side parallel to the stream ( only one side to be fenced )
y the other side of the rectangular area
Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)
p = x + 2*y
1000 = x + 2 * y ⇒ y = (1000 - x )/ 2
And A(r) = x * y
Are as fuction of x
A(x) = x * ( 1000 - x ) / 2
A(x) = 1000*x / 2 - x² / 2
A´(x) = 500 - 2*x/2
A´(x) = 0 500 - x = 0
x = 500 yd
To find out if this value will bring function A to a maximum value we get the second derivative
C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500
The side y = ( 1000 - x ) / 2
y = 500/ 2
y = 250 yd
A(max) = 250 * 500
A(max) = 125000 yd²
Answer:
Step-by-step explanation:
<h3>Hope it is helpful....</h3>
Answer:
-2
Step-by-step explanation:
24 - 4x =32
-4x =32 - 24
-4x=8
x=-8 :4
x=-2
Answer:
Surface Area = 165.06 inches 2
Step-by-step explanation:
5.1 in.
3 in.
8.3 in.
Surface Area = 2×(5.1×3 + 5.1×8.3 + 3×8.3)
= 165.06 inches 2
