2023 KSS P1 Q7

2023 KSS P1 Q7

Secondary 4
4 marks

The volume, \(V\text{ cm}^3\), of water in a container is given by \(V=\dfrac{4x^3}3-2x+3\), where \(x\) cm is the depth of water in the container. Given that water is being poured into the container at a constant rate of \(52\text{ cm}^3/\text{s}\), find the rate at which the depth of water is increasing when \(x=5\) cm.[4]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:\(\dfrac{26}{49}\text{ cm/s}\approx0.531\text{ cm/s}\)

Need help? Join our JC Math tuition classes.

Learn more