A Particle Moves Along the Circle $x ^ { 2 } + y ^ { 2 } = 25$

question 189

Multiple Choice

A particle moves along the circle $x ^ { 2 } + y ^ { 2 } = 25$ . If x decreases at a rate 2 units per minute, at what rate is y changing when $x = 3$ ?

• A) \(2 \text { unit } / \min\)
• B) \(\frac { 3 } { 2 } \text { unit } / \mathrm { min }\)
• C) \(3 \text { unit } / \mathrm { min }\)
• D) \(\frac { 1 } { 4 } \text { unit } / \mathrm { min }\)
• E) \(- 2 \text { unit } / \min\)
• F) \(- \frac { 3 } { 2 } \text { unit } / \mathrm { min }\)
• G) \(- 3 \text { unit } / \min\)
• H) \(- \frac { 1 } { 4 } \text { unit } / \mathrm { min }\)

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Definitions:

Relearning

The process of learning material or skills that were once learned and then forgotten.

Retention

The ability to store and recall information or experiences over time.

Recency Effect

A cognitive bias that predisposes individuals to remember the most recently presented information better than information presented earlier.

Phi Phenomenon

An optical illusion wherein stationary objects shown in rapid succession, separated by short intervals, appear to be moving.