Answer:
after 13 months
Step-by-step explanation:
........ur welcome..........
1475-500=975
975÷75=13
so 13 months
Volume
of a rectangular box = length x width x height<span>
From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x</span>
<span>
where x is the height of the box or the side of the equal squares from each
corner and turning up the sides
V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x
To maximize the volume, we differentiate the expression of the volume and
equate it to zero.
V = </span>4x^3 - 100x^2 + 600x<span>
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0</span>
<span>x^2 - 50/3x + 50 = 0
Solving for x,
x1 = 12.74 ; Volume = -315.56 (cannot be negative)
x2 = 3.92 ;
Volume = 1056.31So, the answer would be that the maximum volume would be 1056.31 cm^3.</span><span>
</span>
Answer:
x = 0 , π
Step-by-step explanation:
- Rewrite it by using the identity


- Add 4sin x to both the sides.


- Take sin x common from the expression in L.H.S.

Here , we can get two more equations to find x.
1) 
- Divide both the sides by sin x


- Substract 4 from both the sides.



2) 
- Divide both the sides by (sin x + 4)


over interval [0 , 2π).
Answer:

Step-by-step explanation:
