Use rectangles to estimate the area under the parabola y = 2x2 from 0 to 1 (the parabolic region S illustrated to the left). SOLUTION We first notice that the area must be somewhere between 0 and 2 because S is contained in a rectangle of side lengths 1 and 2, but we can certainly do better than that. Suppose we divide the region into four strips by drawing vertical lines x = 1 4 , x = 1 2

Gdp has grown in a country at 3% per year for the last 20 years. the labor force has grown at 2% per year and the quantity of physical capital has grown at 4% per year. a 1% increase in average physical capital per worker (other things equal) raises productivity by 0.3%. average education has not changed. how much has growing physical capital per worker contributed to productivity growth in this country? choose the correct answer from the following choices, and then select the submit answer button. answer choices 0.3% 0.6% 3.0% 6.0%