LQ3LN03SOLNYF11

# LQ3LN03SOLNYF11 - Lab Section!3 Surname(PRINT Student 1...

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Please Turn Over Lab Section 3 MATH 1080 Lab Quiz #3 Y ! SOLUTIONS YELLOW 03 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 5 cm. to 4.9 cm. Use differentials to determine the approximate change in the surface area of the W œ % < ß 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

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LQ3LN03SOLNYF11 - Lab Section!3 Surname(PRINT Student 1...

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