LQ3LN01SOLNWF11 - Lab Section!1 SOLUTIONS WHITE 01 MATH...

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Please Turn Over Lab Section 1 MATH 1080 Lab Quiz #3 W ! SOLUTIONS WHITE 01 No Calculators Allowed Surname: Initials:_________ Lab (PRINT) Section #:________ Student #: Class Section #:_______ 1. The gas in a spherical balloon contracts causing a reduction in the radius of the balloon from cm. to % $ ßWœ% < .97 cm. Use differentials to determine the approximate change in the surface area of the 1 # balloon. SOLUTION Surface area of the sphere . W œ % < ß < œ %ß .< œ  !Þ!$ ÞÞÞÞÞÞ 1 # ! " Approximate change in the surface area .W œ ) <.< 1 c m Ê .W œ ) Ð%ÑÐ  !Þ!$Ñ œ  !Þ*' 11 2 2 cm !Þ*' ÞÞÞÞÞÞ 1 2 Answer " 2. Water escapes from a corroded pipe at a rate of 2 litres/hour. Determine the equation of VÐ>Ñ œ "#>  # ZÐ>Ñ > , the amount of water (in litres) lost at time hours, if the amount of water lost at time 2 hours was litres. %& SOLUTION V = = ( + ) Ð>Ñ VÐ>Ñ.> "#> # .> œ %>  #>  G '' 2 $ ÞÞÞÞÞÞ " When > œ #ß Z Ð#Ñ œ %& œ %Ð#Ñ  #Ð#Ñ  G $ Ê %&œ$#%G Ê G œ* 2 V = Ð>Ñ %>  #>  * ÞÞÞÞÞÞ $ Answer " 3. Find the third order Taylor Polynomial approximation of about .
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This note was uploaded on 03/16/2012 for the course MATH 1080 taught by Professor Forgot during the Spring '09 term at University of Guelph.

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LQ3LN01SOLNWF11 - Lab Section!1 SOLUTIONS WHITE 01 MATH...

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