LQ3LN02SOLNWF11 - Lab Section!2 SOLUTIONS WHITE 02 MATH...

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Please Turn Over Lab Section 2 MATH 1080 Lab Quiz #3 W ! SOLUTIONS WHITE 02 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 $ #Þ*) ß Z œ < ß cm. Use differentials to determine the approximate change in the volume of the % $ $ 1 balloon. SOLUTION Volume of sphere . Z œ < ß < œ $ß .< œ  !Þ!# ÞÞÞÞÞÞ % $ 1 $ ! " Approximate change in the volume .Z œ % < .< 1 # c m Ê .Z œ % Ð$Ñ Ð  !Þ!#Ñ œ  !Þ(# 11 # 3 2 cm !Þ(# ÞÞÞÞÞÞ 1 3 Answer " 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 ÞÞÞÞÞÞ '' 2 $# " 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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LQ3LN02SOLNWF11 - Lab Section!2 SOLUTIONS WHITE 02 MATH...

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