$\text { Find } \frac { d ^ { 2 } y } { d x ^ { 2 } } \text { in terms of } x \text { and } y \text {. }$

question 40

Multiple Choice

$\text { Find } \frac { d ^ { 2 } y } { d x ^ { 2 } } \text { in terms of } x \text { and } y \text {. }$ $x ^ { 2 } + y ^ { 2 } = 6$

• A)\(\frac { d ^ { 2 } y } { d x ^ { 2 } } = \left( - \frac { x } { y } \right) ^ { 2 }\)
• B)\(\frac { d ^ { 2 } y } { d x ^ { 2 } } = - \frac { 6 } { y ^ { 2 } }\)
• C)\(\frac { d ^ { 2 } y } { d x ^ { 2 } } = \frac { \frac { x ^ { 2 } } { y } + y } { y ^ { 2 } }\)
• D)\(\frac { d ^ { 2 } y } { d x ^ { 2 } } = \left( - \frac { y } { x } \right) ^ { 2 }\)
• E)\(\frac { d ^ { 2 } y } { d x ^ { 2 } } = - \frac { \frac { x ^ { 2 } } { y } + y } { y ^ { 2 } }\)

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Definitions:

Soil Texture

The feel of the soil, determined by the proportion of sand, silt, and clay particles within it.

Influence

The capacity to have an effect on the character, development, or behavior of someone or something, or the effect itself.

Earth's Surface

The outermost layer of the Earth, consisting of land, water, and where most terrestrial life exists.

Percentage

A fraction or ratio represented as a part of 100.