Page 42 - Ranger SPM 2022 - Additional Mathematics

Additional Mathematics SPM Chapter 2 Differentiation
12. A curve has a function 14. A drop of water drops on a carpet and it
y = 2x – 3x – 36x + 40. spreads into a circle. HOTS
3
2
HOTS
dy (a) Find the change of the area of the water
(a) Find .
dx circle if the radius increases from
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(b) State the coordinates of the 3 cm to 3.02 cm.
stationary points on the curve. (b) Calculate the rate of change of the
Hence, determine the type of the radius of the water circle if the rate
stationary points. of changes of its area increases
at 0.35 cm s when the radius is
–1
2
13. A container in the shape of a cone has 2.5 cm.
a base radius of 6 cm and a height of
12 cm is held with its tip at the bottom.
Water drips into the cone at a rate of
2 cm s . Find the rate of change of
3
–1
height of the water when the height is
3 cm.

Form 5

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