An Open Box Is to Be Made from a Square $a = 38 - 2 x$

question 15

Multiple Choice

An open box is to be made from a square piece of material,38 inches on a side,by cutting equal squares with sides of length x from the corners and turning up the sides (see figure) ​ ​ where $a = 38 - 2 x$ .
Determine the domain of the following function,V(x) represents the volume of the box .​ $V ( x ) = x ( 38 - 2 x ) ^ { 2 }$ ​

• A)Domain: \(0 < x \leq 19\)
• B)Domain: \(0 \leq x \leq 38\)
• C)Domain: \(0 < x < 38\)
• D)Domain: \(0 \leq x \leq 19\)
• E)Domain: \(0 < x < 19\)