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Calc III Ch15 Notes_Part5

Calc III Ch15 Notes_Part5 - 15.2 — Line integrals(Lia d d...

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Unformatted text preview: 15.2 — Line integrals (Lia d d Recall that a plane curve is smooth if if and jt: are If 0M 1'] NW and not simultaneously 6 on (a, b). A curve is P| CC! 7’ / W/éé flyp/ZL, if it can be broken into a finite number of subintervals on which the curve is smOoth. EX: Find the vector valued function that represents the piecewise smooth parameterization of the graph that follows the triangle counter—clockv '56 from the. origin to (2, 0) to (0, 4) and back to (0, 0). ((0 «3 "ti/,[ofzrj “t:- Wtflt'fij , [2,171 «1 (3_t)¢ [Ll .? Ll H. j i 3 L7 Find the vector valued fimction that rep-resents the piecewise smooth parameterizatiott of the graph that starts at (S, 0) and goes counterclockwise along the circle centered at the origin with radius of S, and them straight down forever. up Tr.) (C) , - 5) . ...
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