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)$\frac{dy}{dt}=\frac{3}{8}$units/s (b)x=2

2025 MSHS PRELIMS P1 Q6

2025 MSHS PRELIMS P1 Q6