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​Find the Approximate Change in Z When the Point

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​Find the approximate change in z when the point ​Find the approximate change in z when the point   changes from   to   . ​   ; from   to   ​​   __________ changes from ​Find the approximate change in z when the point   changes from   to   . ​   ; from   to   ​​   __________ to ​Find the approximate change in z when the point   changes from   to   . ​   ; from   to   ​​   __________ .
​Find the approximate change in z when the point   changes from   to   . ​   ; from   to   ​​   __________ ; from ​Find the approximate change in z when the point   changes from   to   . ​   ; from   to   ​​   __________ to ​Find the approximate change in z when the point   changes from   to   . ​   ; from   to   ​​   __________ ​​ ​Find the approximate change in z when the point   changes from   to   . ​   ; from   to   ​​   __________ __________


Definitions:

Cattle Ranchers

Individuals or companies engaged in the raising and grazing of cattle, often for meat production, on extensive ranches.

1830s and 1840s

Decades in the 19th century characterized by significant social, political, and economic changes, including industrialization and the expansion of slavery in the United States, leading to increased tensions leading to the Civil War.

Reannexation

A term referring to the act of annexing something again or reclaiming territory that was once part of a country or jurisdiction.

Louisiana Purchase

President Thomas Jefferson’s 1803 purchase from France of the important port of New Orleans and 828,000 square miles west of the Mississippi River to the Rocky Mountains; it more than doubled the territory of the United States at a cost of only $15 million.

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