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5. The population of rabbits in a controlled system can be described by P(x) = x2 + 18x + 19, where x is the number
5. The population of rabbits in a controlled system can be described by P(x) = x2 + 18x + 19, where x is the number of years after the population was first tracked. P represents the rabbit population in hundreds. (4 marks) b) What is the meaning of P'(x) for this scenario? c) P'(11) = 4. Explain what this means. Thinking (10 marks) 6. If f(4) = 3 and f'(4) = 5, find g'(4) where 90:) = x). (3 marks) 7. Given f(x) : ax2 + bx + c , determine the values of a , b , and c if: f'(x) = 6x + 3 and f(2) = 71
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