Exercise 5.3.11 It is determined that a certain country's gross domestic product (GDP) can be approxi- mated by f(x) = 350x1/4 where f(x) is measured in millions of dollars and x is the capital expenditure in billions of dollars. Ap- proximate the change in GDP if the country's capital expenditure changes from $200 million to $210 million. Exercise 5.3.13 A bank determines that the number N(t) of loans issued over the course of one year is related to the interest rate r by 8 NO)= 1 + 0.02/2 where N is measured in millions. Approximate the change in the number of loans the bank issues when the interest rate is increased from 10% to 10.5%. Exercise 5.3.16 A wooden box with a lid is lacquered to an even thickness of 0.04 cm. If the edges of the box measure 0.5 m, then calculate the approximate amount of lacquer required. Explain your answer. Exercise 5.3.19 The quarterly profit of a certain manufacturer is given by P(q) = -0.000032q' +6q - 300 million dollars, where q is measured in tens of thousands of units. The expected number of units sold over the next quarter is 320,000, with a maximum error of 18%. Determine the maximum error in the expected profit