Answer:
The dimension that maximizes area is 144ft by 144ft
Step-by-step explanation:
Given
-- perimeter
Required
The dimension that gives maximum area
Perimeter is calculated as:
So, we have:
Divide through by 2
Make L the subject
Area is calculated as:
Substitute
Open bracket
Differentiate A with respect to W
Set to 0 to calculate W
Collect like terms
Divide by 2
Recall that:
The first car needed 56.7 gallons
the second car needed 24.3 gallons
Answer: Alan's monthly payment would be $973.53.
We can apply some rules backwards
first
f'(x)=
(x-4)(-2x+4)
-2x^2+12x-16
we know that
so therefor maybe
-2x^2=rnx^{n-1}
2=n-1
n=3
rn=-2
3r=-2
r=-2/3
one is
second part
12x
12x=
x^1, 1=n-1
n=2
rn=12
2r=12
r=6
is the second bit
last part
-16
-16x^0=
0=n-1
n=1
rn=-16
1r=-16
r=-16
-16x^1
so therfor f(x)=
