1. Consider the region bounded by y = √(8 - x), y = (1/7)x and y=0. A solid is created so that the given region is its base and cross-sections perpendicular to the y-axis are squares. Set up a Riemann sum and then a definite integral needed to find the volume of the solid.
2. Consider the region bounded by y = ex, y = 6, and x = 0. A solid is created so that the given region is its base and cross-sections perpendicular to the y-axis are squares. Set up a Riemann sum and then a definite integral needed to find the volume of the solid.
a. What is the approximate volume of a slice perpendicular to the y-axis?
b. In your definite integral what is the lower endpoint?
c. In your definite integral what is the upper endpoint?