Find the volume V of the described solid S.

A) The base of S is an elliptical region with boundary curve 16x2 + 9y2 = 144. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base.

B) The base of S is the region enclosed by the parabola y = 7 ? 7x2 and the x-axis. Cross-sections perpendicular to the x-axis are isosceles triangles with height equal to the base.

C) The base of S is a circular disk with radius 2r. Parallel cross-sections perpendicular to the base are squares.

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?