Unformatted text preview: PLEASE clearly write down your NAME, Student ID, SECTION number as well as your TA’s name. Otherwise, your homework will be easily got lost due to the size of the class. 1. Evaluate Z e 1 ln √ x x dx. 2. Solve the diﬀerential equation dy dx = 12 x 210 x (4 x 35 x 2 + 8) 2 / 3 with the initial value y (0) = 7. 3. Find the area of the region enclosed by the curves y = sin 2 ( x 2 + tan x ) and y = sin 2 ( x 2 + tan x ) + e 2 √ x √ x over 1 ≤ x ≤ 4. 1...
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 Spring '08
 Vershynin
 Calculus, TA, student id, differential equation dy, Section number TA

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