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Unformatted text preview: x = e tt, y = 4 e t/ 2 , ≤ t ≤ 1 . (15 pts) 3. Evaluate the integral i x 2 ln x dx. (15 pts) 4. Evaluate the integral i π/ 2 sin( y ) e cos y dy. (15 pts) 5. Evaluate the integral i x dx x4 . (15 pts) 6. Evaluate the integral i x dx x 23 x + 2 . (15 pts) 7. An alluminum beam was brought from the outside cold into a machine shop where the temperature was held at 65 ◦ F. After 10 min, the beam warmed to 35 ◦ F and after another 10 min it was 50 ◦ F. Find the beam’s initial temperature....
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This note was uploaded on 05/19/2009 for the course MATH 21B taught by Professor Vershynin during the Spring '08 term at UC Davis.
 Spring '08
 Vershynin

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