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Unformatted text preview: x C y cos-= and the initial condition 1 ) 3 / ( = y . b. Determine whether the function 3 2 2 3 4 2 ) , ( y xy y x x y x f-+-= is homogeneous, and, if so, determine its degree. 9. a. A radioactive element has a half-life of 50 days. What percentage of the original sample is left after 60 days? Round your answer to the nearest hundredth of a percent. b. All edges of a cube are expanding at a rate of 3 centimeters per second. How fast is the volume changing when each edge is 1 cm? 10. a. Find the general solution to the first order differential equation: 2 ' = + y xy b. Find the general solution: ) ( 2 2 = + + dy xy dx y x 11. Evaluate: a. dt t t dx d x ) 2 3 ( 2 2 + ∫ b. dx x e e ∫-2 1 5...
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- Spring '11
- Calculus, Limit, 1 cm, 1 second