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Please providee work 1) A manufacturer of vacuum cleaners estimates that the total cost of producing x vacuum cleaners is given by C(x) = 0.5x2

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1) A manufacturer of vacuum cleaners estimates that the total cost of producing x vacuum cleaners is given by C(x) = 0.5x2 + 56x + 800 dollars. Records show that after thours on a typical day, the number of units produced is given by x = 5 \\J' t2 + 51'. a) What is the total cost at the end of 4 hours? b) Find and interpret the rate of change of total cost with respect to time at this time

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