Answer:
Step-by-step explanation:
183.5
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:
C
Step-by-step explanation:
Equation : -1x² - 14x + 2 = 0General Formula : b2-4ac=0a=-1, b= -14, c= 2Put the Value in General FormD = (-14)2 - 4 x -1 x 2D = 196--8D = 204
and the polynomial has 2 real roots
"DJ= DL" is the one statement among the following choices given in the question that is not necessarily true. The correct option among all the options that are given in the question is the fourth option. I hope that this is the answer that you were looking for and it has actually come to your desired help.
<u>THIS ANSWER IS WRONG EVERYBODY</u>
