Effect of Capital Expenditures on GDP An economist has determined that a certain country's gross domestic product (GDP) is approximated by the following function where f(x) is measured in billions of dollars and x is the capital outlay in billions of dollars. f(x) = 630x1/5 Use differentials to estimate the change in the country's GDP if the country's capital expenditure changes from $236 billion to $241 billion. (Round your answer to two decimal places.) X billion dollars Effect of Advertising on Profits The relationship between a certain real estate company's quarterly profits, P(x), and the amount of money x spent on advertising per quarter is described by the following function where both P(x) and x are measured in thousands of dollars. -(1)x². Use differentials to estimate the increase in profits (in dollars) when advertising expenditure each quarter is increased from $30,000 to $32,000. P(x) = + 8x + 30 (0 ≤ x ≤ 50) The relationship between a certain real estate company's quarterly profits, P(x), and the amount of money x spent on advertising per quarter is described by the following function where both P(x) and x are measured in thousands of dollars. =-(-1²-) x ² + 8x + 30 (0 ≤ x ≤ 50) P(x) = Find the differential of the function. dp = Use the differential to estimate the increase in profits (in dollars) when advertising expenditure each quarter is increased from $22,000 to $24,000. $