Mathematics

Mathematics

Problem

A particle moves so that its position satisfies

x^{2}+9y^{2}=36

. When the particle is at

(3,1)

, its

y

–coordinate is increasing at

2\text{ m/s}

. What is

\dfrac{dx}{dt}

(in m/s) at that instant? a)

-3

b)

-6

c)

6

d)

-12

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