MTH 255 Lecture 6: 01182019

• School: Oregon State University
• Department: Mathematics
• Course: MTH 255
• Professor: T. Schmidt

Document Summary

So i of ds = jab f. vector rich fields. C is a vector field that is continuous on a region containing a curve. 7th of c , the ( piecewise ) integral line smooth of e to # %df= jo e. tds = So e . fi#di smooth : beg to as. Usual orientations ds corresponds to the arc length parameterization of cc consistent with. Note : if is a force field , then the line integral gives. Tw when profit is in the cirectiono-t. ch "s a so parallel. I is if # = on c work performed by it on a particle traveling cant. 7 as = so e. dir = sab e. f" " th de. C is the line segment from a , , 1) to shear by on a particle moving on c . Ca , a , a) rt # = O at ca - ht t it >