Step-by-step explanation:

Answer:
Hence the dimensions are 5×5 i.e. 5 meters and 5 meters such that its field would be as large as possible.
Step-by-step explanation:
Darek's dad has a 20 m fencing mesh.
Since we have to make a rectangular garden with he help of fencing the garden using this mesh, that means perimeter of this garden is 20 m.
i.e. 2( l+b)=20
also we have to fenced in such a way that its field would be as large as possible.
ie. it has the largest Area.
Now we will start from the dimensions possible as:
9×1 whose area will 9 m^2 (since Area=l×b)
Next dimension will be:
8×2 whose area will be 16 m^2
Next will be:
7×3 whose area will be 21 m^2
Next will be:
6×4 whose area will be 24 m^2
Next will be:
5×5 whose area will be 25 m^2
Next will be:
4×6 whose area will be same as of 6×4.
Hence, we get the maximum area to be 25 m^2 which is obtained when the dimensions are 5×5.
Step-by-step explanation:
Take the first derivative


Set the derivative equal to 0.




or

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function

So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function


So the local min occurs at -2, at x=1
(x/(2x))+((2*3)/(2x))=3/4
(x+6)/2x=3/4
4x+24=6x
24=2x
x=12
Answer: No
In right triangle we have 30:60:90
and the ratios are
x: x root of 3: 2x
so, for example, if we have side of length 3 against 30 degrees, then against 60 degrees the side will be 3 root of 3, and against 90 degrees it will be 6.
Hope it helps!