A particle moves along the curve $y=\frac{5}{(3x-1)^2}$, where x $\neq \frac{1}{3}$, in such a w

Question

A particle moves along the curve $y=\frac{5}{(3x-1)^2}$, where x $\neq \frac{1}{3}$, in such a way that the x-coordinate is decreasing at a rate of $0.1$ units per second. Find the rate of change of the $y$-coordinate when $x=1$[4] Find the value of $x$ when $y$ increases at the rate of $\frac{3}{125}$ units per second.[2]

Accepted Answer

(a) $\dfrac{dy}{dt}=\dfrac{3}{8}\text{ units s}^{-1}$ (b) $x=2$

2025 MSHS PRELIMS P1 Q6

2025 MSHS PRELIMS P1 Q6

Solution:

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