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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:

Immediate Abolition

The immediate and unconditional ending of slavery, without any phase-out period, advocated by certain abolitionist groups before and during the American Civil War.

William Lloyd Garrison

An American abolitionist, journalist, suffragist, and social reformer best known for his anti-slavery newspaper "The Liberator" and for founding the American Anti-Slavery Society.

James G. Birney

An American abolitionist leader who ran for President of the United States as a candidate of the Liberty Party, advocating for the end of slavery.

James G. Birney

A prominent American abolitionist, politician, and attorney known for his leadership in the anti-slavery movement and candidacy for presidency under the Liberty Party in the 1840s.

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