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picture1_Math 234 Practice Problems Solutions


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File: Math 234 Practice Problems Solutions
math 234 practice problems solutions joseph breen 1 evaluate the line integral r xydx y2dy yzdz where c is the line segment from the point 1 0 1 c to ...

icon picture PDF Filetype PDF | Posted on 26 Jan 2023 | 4 years ago
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...Math practice problems solutions joseph breen evaluate the line integral r xydx ydy yzdz where c is segment from point to solution in order this directly we could try use fundamental theorem of integrals but if you compute curl vector eld xy y yz ll see that not conservative rst thing need do parametrize curve one way between two points following nd direction for can by subtracting v h i general equation a x on and then tv let s just calculated as our t th ti note so ranges move exactly want therefore parametrization next calculate dx dy dz dt z now convert into an terms tdt making change variables zz yda parallelogram bounded problem tells us make it doesn give substitutions should thus step solving determine would easier solve gure out appropriate substitution look at bounds all too often reason variable useful because makes region describe write down equations again observe have expressions extremes equals other words pretty clear call u nice rectangle uv plane there go jacobian tra...

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