The base of a solid is the region in the first quadrant bounded above by the line y = 5, below by y = sin−1(x), and to the right by the line x = 1. For this solid, each cross section perpendicular to the x-axis is a square. What is the volume of the solid?

Each cross section is a square with side length equal to the vertical distance between the curves and , with , or . Then each section has an area of , so the volume of this solid is

For computing the integral, consider the substitution

Then the integral becomes

Integrate by parts twice; for the first round, take

For the second round, take

and the rest is trivial.

may i see the picture? it would a lot, xox

for a it would be 24 children.

for b i don't understand the question. is it saying for each individual person they pick 5 reds to 7 greens or is it the whole group. clarify and i hope this can you.

step-by-step explanation: