Chapter102005solutions

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Unformatted text preview: Chapter 10 Test 1. dy dx April 7, 2005 No Calculators x= 3t 1+ Name t3 , y= 1 2 3 t2 1 + t3 → 1 3 t = $%%%%%% 2 Find the points on the curve at which the tangent line is vertical if H1 + t3 L 6 t − 3 t2 H3 t2 L H1 + t3 L2 H1 + t3 L 3 − 3 t H3 t2 L H1 + t3 L2 = = y z z z z z z z z z { 6 t + 6 t4 − 9 t4 3+3 t3 −9 t3 = 6 t − 3 t4 3−6 t3 = 2. 3 i 3 "###### 2 j 31 j j 2 23 j Point → j , j j 1 j1 + j 1+ 2 k 1 2 = Find d2 y dx2 if x = e−t , y = t e2 t , I2 3 , 2 3 M 2 1 3 t H2 − t3 L 3 H1 − 2 t3 L so 1 = 2 t3 → t3 = a...
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