MTH 255 Lecture 4: 01142019

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9 a the gradient vector field is of potential function for e . form the. Gradient vectors point to direction of greatest increase and normal to level curves. 9 are called equipotential curves or surfaces for e . Bier by any reasonable curve in r2 or. 1123 with f then a multi variable function. = xn ) gives f- cxt ) dx , Xy in the kth taking : partition interval width. Xo d t this is the seem of the area of rectangles each. Width dxk is less than or equal to ax . Jab hx )dx=ffo fe fcx )dxk , if this limit exists. { cx , ysfcx ,all where cxndec } function ten: :* parallel above the. : 11225112 to vertical line up z=tcx , y ) C is in terms of arc length , say. Lifo ee fcxcsem. ms# has . if the limit exists.

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