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Chapter102005solutions

2 te3 t e3 t e3 t h 1 2 tl et 3 e3 t h 1 2 tl 2 e3

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Unformatted text preview: nd t = ln 2 3. = − 2 te3 t − e3 t = e3 t H− 1 − 2 tL − e−t 3 e3 t H− 1 − 2 tL − 2 e3 t − 6 te3 t − 5 e3 t = = = 5 e4 t + 6 te4 t − e−t − e−t dx2 3 H8L H1 − 2 ln 2L − 2 H8L At t = ln 2 → = 32 + 48 H1 + 2 ln 2L = dy dx d2 y = −1 2 π 2 π 2 te2 t H2L + e2 t 80 + 96 ln 2 π 2 Find the length of the curve if x = 2 − 3 sin2 t, y = cos 2 t, and 0 ≤ t ≤ . "################################ 2 ################################ ### ######## "################################ ################################ ##### #######...
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