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When Squares of Side X Inches Are Cut from the Corners

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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. ​

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Definitions:

Plate Boundaries

Regions where two tectonic plates meet, which can result in geological activity such as earthquakes and volcanic eruptions.

Thermal Disturbance

Localized or widespread change in temperature that affects an area's thermal equilibrium, often caused by geological events.

Felsic Magmas

Magma that is rich in lighter elements such as silicon and oxygen, often producing lighter-colored volcanic rocks.

Intermediate Magmas

Magmas that have a composition between felsic and mafic, typically associated with andesitic volcanic eruptions.

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