LQ3LN03SOLNWF11 - Lab Section!3 SOLUTIONS WHITE 03 MATH...

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Please Turn Over Lab Section 3 MATH 1080 Lab Quiz #3 W ! SOLUTIONS WHITE 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 cm. to % $Z œ < ß .98 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. #) V = = ( + ) Ð>Ñ VÐ>Ñ.> $> %> .> œ >  #>  G '' 2 $# ÞÞÞÞÞÞ " When > œ #ß Z Ð#Ñ œ #) œ Ð#Ñ  #Ð#Ñ  G Ê #)œ))G Ê G œ"# 2 V = Ð>Ñ >  #>  "# ÞÞÞÞÞÞ Answer " 3. Find the third order Taylor Polynomial approximation of about 0ÐBÑœ#/ B œ$ #B' !
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LQ3LN03SOLNWF11 - Lab Section!3 SOLUTIONS WHITE 03 MATH...

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