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Textbook Solution

Pelangi Differentiation Exercise 2.15

By KK LEE

January 20, 2015
Question 5

 An inverted right circular cone of semi-vertical angle 45^\circ is collecting water from a tap at a steady rate of 18\pi {\text{cm}}^3 \text{s}^{-1}. Find the rate at which the depth h of the water is rising when h = 3 cm.

Solution
Pelangi Chapter 8 Exercise 215 Q5

Question 7
A ladder 5 m long is leaning against a vertical wall. The bottom of the ladder is pulled along the ground away from the wall at a constant rate of 0.4 m {\text{s}}^{-1}. How fast will the top of the ladder be falling at the instant when its bottom is 3 m away from the wall?

Solution
Pelangi Chapter 8 Exercise 215 Q7

Question 10
Two variables p and q are connected by the relation \frac{1}{p}+\frac{1}{q}=\frac{1}{k} where k is a constant. Given that k=10 and p decreases at the rate of 2 cm {\text{s}}^{-1}, find the rate of change of q when p=40.

Solution
Pelangi Chapter 8 Exercise 215 Q10

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KK LEE

KK LEE has been a STPM Mathematics tuition teacher since June 2006, but his love of Maths dates back to at least 1999 when he was Form 4. KK LEE started teaching in 2006 at Pusat Tuisyen Kasturi. He was known as "LK" when he was teaching in PTK. After teaching STPM Mathematics for 8 years in PTK, he joined Ai Tuition Centre in 2014. Over the years he has taught Mathematics (T), Mathematics (S), Mathematics (M), Additional Mathematics.

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