Questions from General Calculus

Q: Find the average value of the function on the given interval.

Find the average value of the function on the given interval.

Q: Sketch the region enclosed by the given curves and find its area

Sketch the region enclosed by the given curves and find its area.

Q: Find the average value of the function on the given interval.

Find the average value of the function on the given interval.

Q: (a) Show that the Gini index G is twice the

(a) Show that the Gini index G is twice the area between the Lorenz curve and the line y = x, that is, (b) What is the value of G for a perfectly egalitarian society (everybody has the same income)? W...

Q: The following table (derived from data supplied by the US Census

The following table (derived from data supplied by the US Census Bureau) shows values of the Lorenz function for income distribution in the United States for the year 2010. (a) What percentage of th...

Q: The following table gives values for the Lorenz function in the years

The following table gives values for the Lorenz function in the years 1970, 1980, 1990, and 2000. Use the method of Problem 2 to estimate the Gini index for the United States for those years and compa...

Q: power model often provides a more accurate fit than a quadratic model

power model often provides a more accurate fit than a quadratic model for a Lorenz function. If you have a computer with Maple or Mathematica, fit a power function (y – axk) to the d...

Q: Show that / where / And /

Show that where And

Q: Use a graph of

Use a graph of

Q: Use your computer algebra system to differentiate

Use your computer algebra system to differentiate