Answer:
Step-by-step explanation:
(-2,1)=(x1,y1)
(4,5)=(x2,y2)
d=?
d=
Ostal regulations specify that a parcel sent by parcel post may have a combined length and girth (distance around) of no more th
an 126 inches. if a rectangular package has a square end, find the maximum volume of this package.
1 answer:
Let x represent the edge length of the square end. Then the area of the end of the package is x², and the length of the package is 126 -4x. The overall volume is ...
V = x²×(126 -4x)
V = -4x³ +126x²
The volume will be a maximum where the derivative of volume with respect to x is zero.
V' = -12x² +252x
V' = -12x(x -21)
This will be zero for x = 0 and for x = 21
The maximum volume of the package is
V = (21 in)²(126 in -4×21 in)
V = 18,522 in³
V = x²×(126 -4x)
V = -4x³ +126x²
The volume will be a maximum where the derivative of volume with respect to x is zero.
V' = -12x² +252x
V' = -12x(x -21)
This will be zero for x = 0 and for x = 21
The maximum volume of the package is
V = (21 in)²(126 in -4×21 in)
V = 18,522 in³
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