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An Open Box Is to Be Made from a Square x2x ^ { 2 }

Question 42

Multiple Choice

An open box is to be made from a square piece of cardboard having dimensions 22 inches by 22 inches by cutting out squares of area x2x ^ { 2 } from each corner as shown in the figure below. If the volume of the box is given by V(x) =484x88x2+4x3,V ( x ) = 484 x - 88 x ^ { 2 } + 4 x ^ { 3 }, state the domain of V .  An open box is to be made from a square piece of cardboard having dimensions 22 inches by 22 inches by cutting out squares of area  x ^ { 2 }  from each corner as shown in the figure below. If the volume of the box is given by  V ( x )  = 484 x - 88 x ^ { 2 } + 4 x ^ { 3 },  state the domain of V .    22 - 2 x   22 - 2 x  A)   0 < x < 22  B)   0 < x < 11  C)   88 < x < 484  D)   4 < x < 88  E) all real numbers 222x22 - 2 x 222x22 - 2 x


A) 0<x<220 < x < 22
B) 0<x<110 < x < 11
C) 88<x<48488 < x < 484
D) 4<x<884 < x < 88
E) all real numbers

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