Previous Problem Problem List Next Problem 10: Problem 13 (1 point) The semicircular region bounded by the curve x = \\ 16 - y2 and the y-axis is revolved about the line x = -4. The integral that represents its volume is v = [ f ( ) dy where a = b = and f (y) = See Example 4 page 284 for a similar problem. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Show Past AnswersMAA Logged in as MATHEMATICAL ASSOCIATION OF AMERICA g2023-90 / 10 / 18 Previous Problem Problem List Next Problem 10: Problem 18 (1 point) Find the volume of the solid generated by revolving the region in the first quadrant that is above the parabola y = 6x and below the parabola y = 28 - x about the y-axis. See Example 3 page 290 for a similar problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Show Past Answers Email InstructorLogged in as MAA MATHEMATICAL ASSOCIATION OF AMERICA 23-90 / 10 / 14 Previous Problem Problem List Next Prokim 10: Problem 14 (1 point) Let the base of a solid be the first quadrant plane region bounded by x - 1 - y/16, the x-axis, and the y-axis. Suppose that cross sections perpendicular to the y-axis are squares. Find the volume of the solid. See Example 5 page 285 for a similar problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Show Past Answers Email InstructorMAA MATHEMATICAL ASSOCIATION OF AMERICA 210spring2023-90 / 10 / 22 Previous Problem Problem List Next Problem 10: Problem 22 (1 point) The region in the first quadrant bounded by y - 6x2 , 2x + y - 8, and the y-axis is rotated about the line x = -2. The volume of the resulting solid is: Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Show Past Answers Email InstructorIVIAMATHEMATICAL ASSOCIATION OF AMERICA th1210spring2023-90 / 10 / 23 Previous Problem Problem List Next Problem 10: Problem 23 (1 point) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 2x, x = 1, y = 0, about the x-axis 2/3 Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 0%. You have unlimited attempts remaining. Show Past Answers Email InstructorMAA Logged MATHEMATICAL ASSOCIATION OF AMERICA ng2023-90 / 10 / 15 Previous Problem Problem List Next Problem 10: Problem 15 (1 point) Let the base of a solid be the first quadrant plane region bounded by y - 1 - x2/25, the x-axis, and the y-axis. Suppose that cross sections perpendicular to the x-axis are equilateral triangles sitting on the base. Find the volume of the solid. See Example 6 page 286 for a similar problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Show Past Answers Email InstructorLogged MAA MATHEMATICAL ASSOCIATION OF AMERICA 2023-90 / 10 / 19 Previous Problem Problem List Next Problem 10: Problem 19 (1 point) The region R is in the first quadrant and bounded by the x-axis, the y axis, and y - 3 + 2x - x7. Find the volume of the solid that results when R is revolving about x = 0. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Show Past Answers Email Instructorth1210spring2023-90 / 10 / 21 Previous Problem Problem List Next Problem 10: Problem 21 (1 point) The region bounded by y = x2, x = y is rotated about the line y = -5. The volume of the resulting solid is: Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Show Past Answers Email Instructorbio 1610 page Pearson Sign In iClicker Stude MAA Logge MATHEMATICAL ASSOCIATION OF AMERICA ring2023-90 / 10 / 16 Previous Problem Problem List Next Problem 10: Problem 16 (1 point) The region bounded by y = a , the x-axis, x - 1, and x = 4 is revolved about the y-axis. Find the volume of the resulting solid. See Example 1 page 289 for a similar problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Show Past Answers Email InstructorMAA MATHEMATICAL ASSOCIATION OF AMERICA 192023-90 / 10 / 20 Previous Problem Problem List Next Problem 10: Problem 20 (1 point) Find the volume of the solid obtained by rotating the region enclosed by the graphs of y - 24 - x, y - 3x - 8 and x = 0 about the y-axis. V Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Show Past Answers Email InstructorMAA Logged in as MATHEMATICAL ASSOCIATION OF AMERICA ng2023-90 / 10 / 17 Previous Problem Problem List Next Problem 10: Problem 17 (1 point) The region bounded by the line y = 4x/6, the x-axis, and x = 6 is revolved about the x-axis, thereby generating a cone. To find its volume by the shell method, you would evaluate the integral V - [ " 2 mus ( ) dy where b = f (y) = The volume is V= See Example 2 page 290 for a similar problem. Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining