A Particle Moves Along the Curve $y = \frac { 1 } { x }$

question 153

Multiple Choice

A particle moves along the curve $y = \frac { 1 } { x }$ . If x increases at a rate 8 units per minute, at what rate is y changing when $x = 2$ ?

• A) \(2 \text { unit } / \min\)
• B) \(\frac { 1 } { 2 } \text { unit } / \mathrm { min }\)
• C) \(4 \text { unit } / \min\)
• D) \(\frac { 1 } { 4 } \text { unit } / \mathrm { min }\)
• E) \(- 2 \text { unit } / \min\)
• F) \(- \frac { 1 } { 2 } \text { unit } / \mathrm { min }\)
• G) \(- 4 \text { unit } / \min\)
• H) \(- \frac { 1 } { 4 } \text { unit } / \mathrm { min }\)

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Definitions:

Conclusion

The final part of something, such as an argument or a piece of writing, summarizing the main points or deducing a final decision.

Disjunctive Propositions

Statements that offer a choice between two or more mutually exclusive options or propositions.

Asserted

Claimed or declared positively, often without proof or support.

Expressed

Expressed in a straightforward or obvious manner; explicitly revealed.