Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.)365

Use a linear approximation (or differentials) to estimate the given number. (Do not round your answer).(32.04)4/5

Use a linear approximation (or differentials) to estimate the given number.100.4

Use a linear approximation (or differentials) to estimate the given number.(1.999)3

A city has a population of 340,000 people. Suppose that each year the population grows by 6%. What will the population be after 5 years?Use the calculator provided and round your answer to the nearest whole number.

If you don't have a calculator, you may want to approximate  (64.043)5/6(64.043)5/6 by 645/6645/6 .Use the Mean Value Theorem to estimate the error in making this approximation. To check that you are on the right track, test your numerical answer below.The magnitude of the error is less than      (Enter an exact answer using Maple syntax.)