If $x ^ { 2 } + y ^ { 2 } = 25$

question 9

Multiple Choice

If $x ^ { 2 } + y ^ { 2 } = 25$ find the value of $\frac { d y } { d x }$ at the point (3, 4) .

• A) \(\frac { 3 } { 5 }\)
• B) \(- \frac { 3 } { 5 }\)
• C) \(- \frac { 4 } { 5 }\)
• D) \(\frac { 3 } { 4 }\)
• E)0
• F)1
• G) \(\frac { 4 } { 5 }\)
• H) \(- \frac { 3 } { 4 }\)

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Definitions:

Rational Thought

Rational thought involves the logical, reasoned, and systematic processing of information to make decisions and solve problems.

Genetically Bound

Characteristics or traits that are inherited from parents through genes.

Oedipus Complex

A psychological theory that suggests a child's unconscious sexual desire for the opposite-sex parent and jealousy toward the same-sex parent.

Sibling Rivalry

Competition, conflict, and jealousy between siblings, often stemming from a desire for parental attention, recognition, and favoritism.