The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
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Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
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Answer:
-13y+20
Step-by-step explanation:
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m of AB using the slope formula
m = 
with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(- 3, 2)
m =
=
= 0
A line with a slope of zero is a horizontal line, parallel to the x- axis.
Thus a line perpendicular to AB is a vertical line parallel to the y- axis.
The slope of a vertical line is undefined
Answer:
Nice Belt is the correct answer
Step-by-step explanation:
I hope this helps