Exam 2: Differentiation

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​Use the demand function ​Use the demand function   to find the rate of change in the demand x for the given price   Round your answer to two decimal places. ​ to find the rate of change in the demand x for the given price ​Use the demand function   to find the rate of change in the demand x for the given price   Round your answer to two decimal places. ​ Round your answer to two decimal places. ​

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​The population P ( in thousands)of Japan from 1980 through 2010 can be modeled by ​The population P ( in thousands)of Japan from 1980 through 2010 can be modeled by   where t is the year,with   corresponding to 1980.Determine the population growth rate,   ​ where t is the year,with ​The population P ( in thousands)of Japan from 1980 through 2010 can be modeled by   where t is the year,with   corresponding to 1980.Determine the population growth rate,   ​ corresponding to 1980.Determine the population growth rate, ​The population P ( in thousands)of Japan from 1980 through 2010 can be modeled by   where t is the year,with   corresponding to 1980.Determine the population growth rate,   ​ ​

(Multiple Choice)
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​The profit (in dollars)from selling x units of calculus textbooks is given by ​The profit (in dollars)from selling x units of calculus textbooks is given by   Find the marginal profit when   Round your answer to two decimal places. ​ Find the marginal profit when ​The profit (in dollars)from selling x units of calculus textbooks is given by   Find the marginal profit when   Round your answer to two decimal places. ​ Round your answer to two decimal places. ​

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​Find the rate of change of x with respect to p. ​ ​Find the rate of change of x with respect to p. ​   ,   ​ , ​Find the rate of change of x with respect to p. ​   ,   ​ ​

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