Which of the following intervals represents the set (1,4) u [2,6]?
2 answers:
Set is a sum of two intervals :(1,4) u [2,6]
In the first interval it is open on both sides so 1 and 4 don't belong to this interval, the second is closed so both 2 and 6 belong to interval and numbers between 2 and 6
We can write it as 1<x
summing both sets we have one set: (1,6]
so
a) represent our set
b) also represent because all numbers between 4-6 and 6 are in our set
c)also represent, all numbers are in main set
d)also represent
In the first interval it is open on both sides so 1 and 4 don't belong to this interval, the second is closed so both 2 and 6 belong to interval and numbers between 2 and 6
We can write it as 1<x
summing both sets we have one set: (1,6]
so
a) represent our set
b) also represent because all numbers between 4-6 and 6 are in our set
c)also represent, all numbers are in main set
d)also represent
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Answer:
<u><em>Dimension of box:-</em></u>
Side of square base = 10 in
Height of box = 5 in
Minimum Surface area, S = 300 in²
Step-by-step explanation:
An open box with a square base is to have a volume of 500 cubic inches.
Let side of the base be x and height of the box is y
Volume of box = area of base × height
Therefore,
It is open box. The surface area of box, S .
Put
This would be rational function of surface area.
For maximum/minimum to differentiate S(x)
For critical point, S'(x)=0
Put x = 10 into
y = 5
Double derivative of S(x)
at x = 10
Therefore, Surface is minimum at x = 10 inches
Minimum Surface area, S = 300 in²
Answer:
>
Step-by-step explanation:
5 is greater than the .
= 4.24264068712
...
<u>Hope this helps and have a nice day!</u>