{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

300672A09TutorialForWeek12

# 300672A09TutorialForWeek12 - 300672 Mathematics 1A Autumn...

This preview shows pages 1–2. Sign up to view the full content.

300672A09TutorialForWeek12.doc 300672 Mathematics 1A Autumn 2009 Tutorial for Week 12 The starred * questions will be discussed in tutorials. Solutions for the others will be posted on vUWS. Question 1 (a) A metal circular disc contracts during cooling. If its radius decreases at the rate of 0.003 cm/s, how fast is the area of its face decreasing when its radius is 10cm? (b) A water tank has the shape of an inverted circular cone with base radius 4m and height 7m. If water is pumped into the tank at a rate of 2m 3 /min, find the rate at which the water level is rising when the water is 5m deep. (c) * A runner sprints around a circular track of radius 100m at a constant speed of 7m/s. The runner’s friend is standing at a distance of 200m from the centre of the track. How fast is the distance between the runner and her friend changing when the distance between them is 200m? Question 2 (a) Use the formula ) ( ' ) ( ) ( ) ( a f a x a f x f - + to approximate 1 4 .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}