Current Score : – / 10 Due : Sunday, March 17, 2019 11:59 PM EDT1. –/4 pointsSCalcET8 8.2.005.Consider the following.(a) Set up an integral for the area of the surface obtained by rotating the curve about the x-axisand the y-axis.(i) the x-axis(ii) the y-axis(b) Use the numerical integration capability of a calculator to evaluate the surface areas correctto four decimal places.(i) the x-axis (ii) the y-axis 8.2 (Homework)samantha OhMath 142 LR-X, section LR-X, Spring 2019Instructor: Kathlene HockadayWebAssignLast Saved : n/a Saving... ()x = y + y3, 0 ≤ y ≤ 1S = dy 10S = dy 102. –/1 pointsSCalcET8 8.2.008.Find the exact area of the surface obtained by rotating the curve about the x-axis. 3. –/1 pointsSCalcET8 8.2.013.Find the exact area of the surface obtained by rotating the curve about the x-axis. 4. –/1 pointsSCalcET8 8.2.015.The given curve is rotated about the y-axis. Find the area of the resulting surface. y = , 1 ≤ x ≤ 77 − xx = (y2 + 2)3/2, 2 ≤ y ≤ 513y = x3/2, 0 ≤ x ≤ 12135. –/1 pointsSCalcET8 8.2.017.The given curve is rotated about the y-axis. Find the area of the resulting surface. 6. –/1 pointsSCalcET8 8.2.027.If the region is rotated about the x-axis, the volume of the resultingsolid is finite. Determine the surface area. (The surface is shown in the figure and is known as Gabriel'shorn.) x = , 0 ≤ y ≤ a/3a2 − y2ℛ = {(x, y) | x ≥ 1, 0 ≤ y ≤ 1/x}7. –/1 pointsSCalcET8 8.2.035.Find the area of the surface obtained by rotating the circle about the line x2 + y2 = r 2y =