Unformatted text preview: x ) . Problem 4: [4 points] Use the defnition oF the derivative to ±nd f ′ ( t ), where f ( t ) =-2 t 2-4 t + 2. Calculate f ′ (3). Problem 5: [4 points] The elevation of Ottawa River measured on JAN 20, 2009 was: the highest at 7:30 112.30 meters and the lowest at 13:30 - 111.70 meters. Assume that elevation has period 12h. Find the parameters in the standard cosine description of these tides, i.e., f ( t ) = A + B cos(2 π ( t-Φ) /T ) , where time t is measured in hours and t = 0 indicates midnight. Problem 6: [4 points] Explain why the following function is continuous. f ( x ) = e sin(2 x ) + 4 x 3 + 7 . Evaluate the limit lim x → f ( x ) . 1...
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- Fall '08
- Calculus, Limit, per capita, Ottawa