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n 2i 1 41) Evaluate lim . n-00 n i=1 а) 0 b) E c) d) 1 e) None of the above.

n 2i 1 41) Evaluate lim . n-00 n i=1 а) 0 b) E c) d) 1 e) None of the above.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve both 40 and 41 please

40) A tank contains 1000 litres of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 8 liters per minute. Brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 5 liters per minute. The well-mixed solution drains from the tank at a rate of 13 liters per minute. Let S(t) denote the amount of salt is in the tank after salt in the tank after t hours. Which of the following statements are true? a) S'(t) > 0 for all t > 0. b) S'(t) < 0 for all t > 0. c) The graph of S is concave down. d) S(0.5) = 14.91kg. e) lim S(t) = 46.15kg. t00 n 2 2i 1 41) Evaluate lim n-00 n n i=1 a) 0 b) c) d) 1 e) None of the above.
Transcribed Image Text:40) A tank contains 1000 litres of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 8 liters per minute. Brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 5 liters per minute. The well-mixed solution drains from the tank at a rate of 13 liters per minute. Let S(t) denote the amount of salt is in the tank after salt in the tank after t hours. Which of the following statements are true? a) S'(t) > 0 for all t > 0. b) S'(t) < 0 for all t > 0. c) The graph of S is concave down. d) S(0.5) = 14.91kg. e) lim S(t) = 46.15kg. t00 n 2 2i 1 41) Evaluate lim n-00 n n i=1 a) 0 b) c) d) 1 e) None of the above.
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