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Unformatted text preview: ) . 7. Show that the parametric curve x = t 2 , y = t 34 t has two tangent lines at the point ( 4, 0 ) , and nd equations for both lines. 8. Find the value (sum) of the series n = 1 1 3 2 n1 . 9. Find the Taylor polynomial T 2 ( x ) at a =1 for the function x 3 . 10. Find lim x e 4 x14 x x 2 . d dx ( sin1 x ) = 1 1x 2 d dx ( tan1 x ) = 1 1 + x 2 1sin 2 = cos 2 1 + tan 2 = sec 2 sin 2 = 1 2 ( 1cos 2 ) cos 2 = 1 2 ( 1 + cos 2 ) Logistic equation: dP dt = kP 1P K , P ( t ) = K 1 + Aekt , A = KP P 6 4 3 2 2 3 3 4 5 6 cos 1 3 2 1 2 1 21 21 2 3 21 sin 1 2 1 2 3 2 1 3 2 1 2 1 2...
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 Fall '08
 wang
 Math, Calculus

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