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Final

MAT136H1 Study Guide - Final Guide: Telephone Numbers In The United Kingdom, If And Only If, Hit106.9 NewcastlePremium


Department
Mathematics
Course Code
MAT136H1
Professor
Anthony Lam
Study Guide
Final

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MAT187H1 Calculus II
Final Exam Study Guide
University of Toronto St. George Winter 2016

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MAT187H1Lecture1Syllabus&ReviewofChapter6
SyllabusPowerpoint
ExampleofSlicing&Collecting
Findcentreofmassofabarofnonuniformdensity,ρ(x),forx[a,b]
Note1:Sinceρ(x)isfunctionofxonly,treatasonedimensionalproblem
Note2:ifdensitywereuniform,ie.ρ(x)=ρ
с
thenmass=density*distance
=ρ
с
(ba)
[kg][kg/m]*[m]
andcentreofmassc.m.:a+(ba)/2

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MAT187H1Lecture26.26.7Review
ExampleofSlicing&Collecting
● Findcentreofmassofabarofnonuniformdensity,ρ(x),forx[a,b]
Note:ifdensitywereuniform,ie.ρ(x)=ρ
с
thenmass=density*distance
=ρ
с
(ba)
[kg][kg/m]*[m]
andcentreofmassc.m.:a+(ba)/2
● Assumeconstantdensityofρ(x
k
)fork
th
slice,suchthatm
k
≈ρ(x
k
)x
● Whatarewetryingtodo?
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