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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- Winter '08