LQ3LN01SOLNYF11

# LQ3LN01SOLNYF11 - Lab Section !1 SOLUTIONS YELLOW 01 MATH...

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Please Turn Over Lab Section 1 MATH 1080 Lab Quiz #3 Y ! SOLUTIONS YELLOW 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%< ß .9 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 cm Ê .W œ ) Ð&ÑÐ  !Þ!%Ñ œ  "Þ'! ÞÞÞÞÞ 11 2 " 2 cm "Þ'! 1 2 2. Water escapes from a corroded pipe at a rate of 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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LQ3LN01SOLNYF11 - Lab Section !1 SOLUTIONS YELLOW 01 MATH...

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