Answer:
x = 600 m
y = 1200 m
Amax = 720000 m²
Step-by-step explanation:
Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then
A(p) Area of the plot x*y
A(p) = x*y
And perimeter of the plot ( to be fenced ) is:
P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x
Area of rectangular plot as function of x:
A(x) = x * ( 2400 - 2x )
Taking derivatives on both sides of the equation
A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x
A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400
x = 600 m
And y = 2400 - 2*x
y = 2400 - 1200
y = 1200 m
And the largest enclosed area is Amax = 1200*600
Amax = 720000 m²
Answer:
$7.81
Step-by-step explanation:
89¢ + 95¢ + $1.79 + $1.29 + $2.89
So numerically to add it the equation is...
0.89 + 0.95 + 1.79 + 2.89 + 1.29 = $7.81
Answer:5
Step-by-step explanation:
yh thereu go
First of all, you figure out that -4 < 3, so you use the first function definition. Then you put -4 wherever you see x.
.. f(-4) = (-4)^2 -5
.. = 16 -5
.. f(-4) = 11
