38. The flow of a gas with a density of 8 = 0.3kg/m² over the closed curve r(t) = (cos t)i + (sin t)j, 0


38. The flow of a gas with a density of 8 = 0.3kg/m² over the<br>closed curve r(t) = (cos t)i + (sin t)j, 0 < t< 2n, is given by<br>the vector field F = &v, where v = x²i – yj is a velocity field<br>measured in meters per second. Find the flux of F across the curve<br>r(t).<br>

Extracted text: 38. The flow of a gas with a density of 8 = 0.3kg/m² over the closed curve r(t) = (cos t)i + (sin t)j, 0 <>< 2n,="" is="" given="" by="" the="" vector="" field="" f="&v," where="" v="x²i" –="" yj="" is="" a="" velocity="" field="" measured="" in="" meters="" per="" second.="" find="" the="" flux="" of="" f="" across="" the="" curve="">

Jun 05, 2022
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