When Squares of Side X Inches Are Cut from the Corners

question 120

Multiple Choice

When squares of side x inches are cut from the corners of a 35-inch-square piece of cardboard, an open-top box can be formed by folding up the sides. The volume of this box is given by , find the rate of change of volume with respect to the size of the squares. ​

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Definitions:

Allyl Radical

A molecular entity consisting of an alkene with a CH2-CH=CH2 structure where a hydrogen atom is removed, leaving an unpaired electron.

Major Organic Product

The primary product of a chemical reaction that has the highest yield, relative to other potential products.

Cycloheptene

A cyclic hydrocarbon with the molecular formula C7H12, featuring a seven-membered ring with one double bond.

N-Bromosuccinimide

A chemical reagent represented by the formula C4H4BrNO2, often used as a brominating and oxidation agent in organic synthesis.