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Unformatted text preview: x = cos t, y = sin tcos t 2. Consider the curve defned parametrically by the parametric equations x = ln ln t, y = ln t(ln t ) 2 . Find the equation o± the tangent line to the curve at the point t = e . 3. Find the parametric equations for the tangent line to the curve de±ned by x = t 3t, y = t 6 + t 2 + 1 , z = 1 2 t 2 + 5 t at the point (0 , 1 , 0) . 4. At what point does the curve y = e x have maximum curvature? 5. Find the length of the curve de±ned by v r ( t ) = a 2 √ 2 3 t 3 / 2 , t, 1 2 t 2 A , ≤ t ≤ 4 6. Find the curvature of the curve de±ned by v r ( t ) = a 1 2 t 22 t, t 2t, t 2 + t A at the point t = 0 ....
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 Spring '07
 Smith
 Math, Parametric Equations, Parametric equation, MidTerm Exam Number, parametric equation pair

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