The area of the garden enclosed by the fencing is
A(x, y) = xy
and is constrained by its perimeter,
P = x + 2y = 200
Solve for x in the constraint equation:
x = 200 - 2y
Substitute this into the area function to get a function of one variable:
A(200 - 2y, y) = A(y) = 200y - 2y²
Differentiate A with respect to y :
dA/dy = 200 - 4y
Find the critical points of A :
200 - 4y = 0 ⇒ 4y = 200 ⇒ y = 50
Compute the second derivative of A:
d²A/dy² = -4 < 0
Since the second derivative is always negative, the critical point is a local maximum.
If y = 50, then x = 200 - 2•50 = 100. So the farmer can maximize the garden area by building a (100 ft) × (50 ft) fence.
Answer: This in science not math but I will describe photosynthesis is the plant take carbon and water and sun and it give us oxygen
Example : the plant take oxygen and give us oxygen
Answer:
The answer is 0.105
Step-by-step explanation:
Let cars =C and motorcycles=M.
now, P(C)=76 percent =0.76
P(M)=12 percent=0.12
P(C∩M)=8 percent =0.08
Then, the probability that a person owns a motorcycle, given they own a car, is a conditional probability given by the definition
P(M/C)=
=
=0.105
Therefore, the answer is 0.105
I believe it is well understood.
A piece of wood 10 yards long
and
A piece of wood 5 feet long
He has two pieces of wood. How much does he have in all?
5+10 = 15
15 feet of wood
Answer:
A(35)
B(35_20=15
Step-by-step explanation:
same as all above
