\text { Find } \frac { d ^ { 2 } y } { d x ^ { 2 } } \text { in terms of } x \text { and } y \text {. }\] \[5 - 2 x y = 7 x - 3 y

question 168

Multiple Choice

\text { Find } \frac { d ^ { 2 } y } { d x ^ { 2 } } \text { in terms of } x \text { and } y \text {. }\] \[5 - 2 x y = 7 x - 3 y

• A) \(\frac { d ^ { 2 } y } { d x ^ { 2 } } = \frac { 4 ( 2 y - 7 ) } { ( 3 - 2 x ) ^ { 2 } }\)
• B)\(\frac { d ^ { 2 } y } { d x ^ { 2 } } = \frac { 4 ( 2 + 7 y ) } { ( 3 + 2 x ) ^ { 2 } }\)
• C)\(\frac { d ^ { 2 } y } { d x ^ { 2 } } = \frac { - 124 } { ( 3 + 2 x ) ^ { 3 } }\)
• D)\(\frac { d ^ { 2 } y } { d x ^ { 2 } } = \frac { 44 } { ( 3 - 2 x ) ^ { 3 } }\)
• E)\(\frac { d ^ { 2 } y } { d x ^ { 2 } } = \frac { 4 ( 2 y + 7 ) } { ( 3 + 2 x ) ^ { 2 } }\)

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Definitions:

Concrete Operational

A stage in cognitive development, according to Piaget, where children (around 7-11 years old) start thinking logically about concrete events but struggle with abstract concepts.

Transform Objects

The ability to change or manipulate objects in one's environment, often reflecting cognitive development and creative problem-solving skills.

Piaget

A Swiss psychologist known for his pioneering work in the study of child development, particularly his theory of cognitive development.

Abstract Ideas

Concepts that do not have a physical or tangible presence, and are often complex and thought-based.