300672A09TutorialForWeek12 - 300672A09TutorialForWeek12.doc...

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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 . . (b)
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This note was uploaded on 07/09/2009 for the course MATH Math1A taught by Professor Chaleszworestine during the Spring '09 term at University of Western States.

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300672A09TutorialForWeek12 - 300672A09TutorialForWeek12.doc...

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