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4. The population P(t) of a bacterial colony t hours after observation begins is found to be changing at the rate . If the population was 200,000
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# sorry the first question just should be the 123 question is okthis question the 456question

4. The population P ( t ) of a bacterial colony t hours after observation begins is found to be changing at the rate t t e e dt dP 03 . 0 1 . 0 150 200 . If the population was 200,000 bacteria when observations begin, what will the population be 12 hours later? (4 marks) 5. Find the area bounded by the graphs of f(x) = 3 2 1 x , g(x) = -x 2 + 1, x = -2, and x =1. (5 marks) 6. A manufacturer has found that marginal cost is 3q 2 – 60q + 400 dollars per unit when q units have been produced. (a) If the total cost of producing the first 2 units is \$900. What is the total cost of producing the first 5 units? (b) Given that the fixed cost is \$500, find the total cost function C(q) and the cost of producing 30 units? (3+3 marks)

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