Question: Calculus Writing Assignment: Volume of Solids Using Cross Sections Each problem is worth 5 points. Total Points: 75 Answer each of the problems. Make sure

Calculus Writing Assignment: Volume of Solids Using Cross Sections Each problem is worth 5 points. Total Points: 75 Answer each of the problems. Make sure to show all your work. In Problems 1-5, let R be the region bounded by y = x 2 + 3, y = 2x, x = 0, and x = 4. Each problem will describe the cross sections of a solid that are perpendicular to the x-axis. Write an integral expression that can be used to find the volume of the solid (do not evaluate). 1) The cross sections are squares with one edge in R. 2) The cross sections are circles with the diameter in R. 3) The cross sections are equilateral triangles with one edge in R. 4) The cross sections are rectangles with the smaller edge in R. The larger edge of the rectangle is three times the smaller edge. 5) The cross sections are semicircles with the diameter in R. In Problems 6-10, let R be the region bounded by the semicircle x = 4 y 2 and the y-axis. Each problem will describe the cross sections of a solid that are perpendicular to the y-axis. Write an integral expression that can be used to find the volume of the solid (do not evaluate). 6) The cross sections are squares with one edge in R. 7) The cross sections are circles with the diameter in R. 8) The cross sections are isosceles right triangles with one leg in R. 9) The cross sections are squares with the diagonal in R. 10) The cross sections are quarter circles with the radius in R. In Problems 11-15, let R be the region bounded by the lines y = 4 - x, x = 2, and the x-axis. Each problem will describe the cross sections of a solid. Find the volume of that solid (you do evaluate these problems). 11) The cross sections are squares perpendicular to the x-axis with one edge in R. 12) The cross sections are semicircles perpendicular to the y-axis with the diameter in R. 13) The cross sections are equilateral triangles perpendicular to the x-axis with one edge in R. 14) The cross sections are squares perpendicular to the y-axis with the diagonal in R. 15) The cross sections are circles perpendicular to the x-axis with the diameter in R

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