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Unformatted text preview: y (0) = 1. 9. Find the length of the curve y = x 2 2-ln x 4 on the interval 2 ≤ x ≤ 4. 10. Strontium-90 ( 90 Sr) has a half-life of 25 years. Suppose we start with a sample of 18 mg. (a) How much 90 Sr is left after t years? (b) When will there remain only 2 mg? 11. Use series to approximate Z 1 sin( x 2 ) dx to correct three decimal places. 12. Solve the initial-value problem xyy = ln x , y (1) = 2. 13. A 2-kg mass is attached at the end of a spring with damping constant 16. A force of 12.8 N is required to stretch the spring 0.2 m beyond its natural length. If the spring starts at equilibrium with velocity 2.4 m/s, what is the position function of the spring? 14. Find the Maclaurin series of f ( x ) = x 2 1 + x and its interval of convergence. 2...
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This note was uploaded on 02/19/2012 for the course MATH 1 taught by Professor Wilkening during the Spring '08 term at University of California, Berkeley.
- Spring '08