Solve the Problem $\frac { x ^ { 2 } } { 49 } + \frac { y ^ { 2 } } { 100 } = 1$

question 244

Multiple Choice

Solve the problem.
-Write an equation for the tangent line to the curve $\frac { x ^ { 2 } } { 49 } + \frac { y ^ { 2 } } { 100 } = 1$ at the point $\left( \frac { 7 } { \sqrt { 2 } } , \frac { 10 } { \sqrt { 2 } } \right)$ .

• A) \(\frac { x } { 10 } + \frac { y } { 7 } = 1\)
• B) \(\frac { x } { 10 } + \frac { y } { 7 } = \sqrt { 2 }\)
• C) \(\frac { x } { 7 } + \frac { y } { 10 } = 1\)
• D) \(\frac { x } { 7 } + \frac { y } { 10 } = \sqrt { 2 }\)

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Definitions:

Enslaved Africans

Individuals of African descent who were forcibly brought to and held in bondage in the Americas and other colonies, playing a central role in the transatlantic slave trade.

American-born Slaves

Individuals born into slavery in the United States, highlighting the generational aspect of slavery within the country.

African Slaves

Individuals from Africa who were forcibly taken or sold into slavery and exploited for labor and services in various parts of the world, especially prior to the 19th century.

American-born Slaves

Individuals born into slavery in the United States, contrasting with those who were trafficked or transported there from other regions.