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MATH 1080 (10)
Quiz

# Quiz3V2

2 Pages
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School
University of Guelph
Department
Mathematics
Course
MATH 1080
Professor
Joe Cunsolo
Semester
Fall

Description
Lab Section !1 SOLUTIONS YELLOW 01 MATH 1080 Lab Quiz #3 Y No Calculators Allowed Surname: Initials:_________ Lab Section #:________ (PRINT) Student #: Class Section #:_______ 1. The gas in a spherical balloon contracts causing a reduction in the radius of the ballo#n from &cm. to %.9 cm. Use differentials to determine the approximate change in the surfaßeaÑ œ *> & litres/hour. Determine the equation of ZÐ>Ñ , the amount of water (in litres) loste hours, if the amount of water lost at>œim 2 hours wasl%res. SOLUTION 2 \$ VÐ>Ñ = 'VÐ>Ñ.> = (*> + &) .> œ \$>  &>  G ÞÞÞÞÞÞ " \$ When > œ #ß Z Ð#Ñ œ %& œ \$Ð#Ñ  &Ð#Ñ  G Ê %& œ #%  "!  G Ê G œ "" Answer ÞÞÞÞÞÞ " 2 \$ VÐ>Ñ = \$>  &>  "" #B) 3. Find the third order Taylor Polynomial approximation of 0ÐBÑœ#/ abButœ% ! .. SOLUTION ww www 0ÐBÑ ¸ 0 B ( ) + 0 B ) (B  B ) + 0B ()0 (B  B ) + 3) (B  B ) . ÞÞÞÞÞÞ" 0 0 0 0 2! 0 3! # #B) For 0B( ) / and B % =0: 3 #B) #%() ) ! 0ÐBÑ œ#/ 0 % œ( / œ#/ œ#
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