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

question 238

Multiple Choice

A particle moves along the circle $x ^ { 2 } + y ^ { 2 } = 25$ . If x increases 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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