Unformatted text preview: t 1 + 2 t 2 ml/sec, where t is the time elapsed in seconds. How much of the drink is dispensed in the ±rst 2 seconds? 10. A particle moves along a straight line with velocity v ( t ) = t 2 ± 2 t ± 8. Find the displacement of the particle on the time interval [0 ; 5], and the total distance traveled by the particle. 11. A population is changing at the rate dP dt = 50 t ± 100 t 3 = 2 where P is the population in thousands after t years. Find the net change in population in the ±rst 4 years ( t = 0 to t = 4). 12. The price of a particular model of a Toyota is increasing at a rate of 3 t p 3 t 2 + 4 thousand dollars t years after its introduction. If the base price of the car was $18,000 when it was ±rst introduced, what will the base price be of the same model two years later?...
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- Spring '11