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When Squares of Side X Inches Are Cut from the Corners

question 51

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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 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. ​ A)    B)    C)    D)    E)   , find the rate of change of volume with respect to the size of the squares. ​


Definitions:

Rent

The compensation paid to a landlord for the tenant’s right to possession and exclusive use of the premises.

Possession

The act or state of owning, controlling, or having an item or property in one's physical custody.

Exclusive Use

A clause in a lease or agreement granting one party the sole right to use a property, asset, or service in a specified way.

Rent Escalation Clause

In a lease, a clause that permits the landlord to increase the rent in association with increases in costs of living, property taxes, or the tenant’s commercial business.

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