According to u.s. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "gi
rth" we mean the perimeter of the smallest end. what is the largest possible volume of a rectangular parcel with a square end that can be sent by mail? such a package is shown below. assume y>x. what are the dimensions of the package of largest volume?
1 answer:
Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
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Here, you know that 12 people answered.
Therefore :
Take the "M" for mean :
In short, you answer would be C. 3.5.
Hope this helps !
Photon
Therefore :
Take the "M" for mean :
In short, you answer would be C. 3.5.
Hope this helps !
Photon
<h3>hello!</h3>
We're given a point that the line intersects and its slope.
Let's use Point-slope:-
y1 = -5
m=-5
x1=-1
Convert to slope-intercept:-
Finally,
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)