Chapter102005solutions

13 when t 3 and t 3 6 5 4 3 2 1 6 5

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Unformatted text preview: − 1L dtN i + i z j ln 2 { k i 1 2t + C y j = Htan t − t + C1 L i + j j z 2z k ln 2 { Find the equations of the tangent lines for x = t2 and y = t3 − 3 t r HtL if dr dt = tan2 t i + 2t j è!!!!!! 13 when t= è!!!! 3 and t=− è!!!! 3 6 5 4 3 2 1 6 5 4 3 2 1 0 1 2 3 4 5 6 0 1 2 3 4 5 6 dy dx = d dθ d dθ Now lim L θ→π → 7. Sketch the graph of the polar equation, and be sure to label at least three polar points H r, θ L, if è!!!! r= 2 + 2 sin θ 4 3 2 1 0 − 3 sin θ cos θ − H3 + 3 cos θL sin θ 0 − 6 sin θ cos θ + H− 3 sin θL cos θ + H3 + 3 cos θL H− sin θL lim θ → π − 3 cos2 θ + 3 sin2 θ − H− 3 sin θL sin θ − H3 + 3 cos θL cos θ → Hr sin...
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