Mat186 Week 12

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November 26, 2019 MAT186 – Week 12 Justin Ko 1 Using Integration to Find Arc Lengths and Surface Areas 1.1 Arc Length Formula: If f′(x) is continuous on ...

Filetype PDF | Posted on 26 Jan 2023 | 2 years ago

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...November mat week justin ko using integration to find arc lengths and surface areas length formula if f x is continuous on then the of curve y interval given by z b p s dx a remark we can remember this dierential notation r dy ds be recovered integrating intuition approximate with polygonal path line segments form i bythemeanvaluetheorem thereexistsax inthesubintervaloflengthxsuchthaty so approximation written as q partition into n uniform subintervals area taking limit implies lim xi figure segment pythagorean theorem each approximating page solid revolution obtained rotating around axis provided that xds rotation or yds circumference circle respect it about trapezoidal band also called frustrum cone ai isi where midpoint subinterval point in theareaofthehorizontalbandcanbeestimatedwitharectangle theheightoftherectangle estimated width rectangle radius only modication instead example problems strategy optional draw plane set up denite integral use for treating function depending which...

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Posted on: 26 Jan 2023 | 2 years ago
Tag: download pdf, mat186, week,
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