An Open Box of Maximum Volume Is to Be Made

question 112

Multiple Choice

An open box of maximum volume is to be made from a square piece of material 30 centimeters on a side by cutting equal squares from the corners and turning up the sides(see figure) . What is the domain of the function V = x(30 - 2x) ². ​ ​

• A) domain: 0 < x < ∞
• B) domain: 30
• C) domain: 0 < x < 15
• D) domain: 0 < x < 30
• E) domain: 15

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