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7. Show that there is no value of x for which f(x) = i and g(x) = x5 have tangents with the same slope. [C2]

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7. Show that there is no value of x for which f(x) = i and g(x) = x5 have tangents with the same slope. [C2] [C2] [T3] 8. 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. a) What is the meaning of P'(x) for this scenario? b) P'(11) = 4. Explain what this means. 9. If f(4) = 3 and f'(4-) = 5, find g'(4) where g(x) = Ema. 10. Given f(x) = (M2 + bx + c , determine the values ofa and b iff'(x) = 6x + 3 and f(2) = 1

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