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1/27/24, 3:37 PM 2.3 HW Volumes by Shells https://rsccd.instructure.com/courses/111152/assignments/2181502 1/5 2.3 HW Volumes by Shells Due Jan 11 by 2pm Points 10 Submitting an external tool Prepare Make sure you have read and viewed the following before you begin: Section Reading Section Videos Introduction You will view a video and then answer a question about it. For each question, you have unlimited attempts. After the third attempt, the answer will be given and a new version of the question can be generated. To navigate the assignment, use the page links on the left side of the assignment where it says "Pages" to view the different sections of the assignment and access all practice questions. Need Help? If you would like assistance from your instructor or classmates on this section, you may post to the module discussion board Module 2 - Area & Arc Length (https://rsccd.instructure.com/courses/111152/discussion_topics/1403185) . (https://rsccd.instructure.com/courses/111152/discussion_topics/1403191) Remember to copy and paste the question to the discussion board and tell us what you have done so far so that we can identify your problem and help you solve it. As a free resource to you, you may use the free online tutoring service: About NetTutor- Free Online Tutoring Services (https://rsccd.instructure.com/courses/111152/pages/about-net-tutoring) . The service is free to all online SAC students. In addition, there are three learning centers at SAC that you can use to get math help: SAC Academic Computing Center (https://sac.edu/AcademicProgs/Business/ACC/Pages/default.aspx) SAC Learning Center (http://www.sac.edu/AcademicProgs/HSS/LearningCenter/Pages/default.aspx) SAC Math Center (http://sac.edu/AcademicProgs/ScienceMathHealth/MathCenter/Pages/default.aspx)
1/27/24, 3:37 PM 2.3 HW Volumes by Shells https://rsccd.instructure.com/courses/111152/assignments/2181502 2/5 Review Assessment Attempts Sidik, Julian Ken 2.3 HW Volumes by Shells Started: 1/10/24, 1:43 pm Last Changed: 1/10/24, 4:13 pm Total time questions were on-screen: 148.9 minutes Due Date: Thu 1/11/24, 2:00 pm Score in Gradebook: 10/10 Grade is calculated on the best version of each question Show Intro and Between-Question Text You are in the gradebook. You cannot edit answers or submit questions from here. Question 1. Score: 1/1 Time spent on this version: 1.4 minutes. Question 2. Scored attempt. Score: 10/10 . Version 2*/2. Score: 1/1 R is the region bounded by the functions f(x) = and the x-axis and the lines x=2 and x=4. Represent the volume when R is rotated around the line x=6. Volume = 2 π 6 − x 3 + sin x dx Use pi for " " and sqrt(x) for " " ( ) ( ( ) ) Version 1*/1. Score: 1/1 Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by , , and about the -axis. 2 π
1/27/24, 3:37 PM 2.3 HW Volumes by Shells https://rsccd.instructure.com/courses/111152/assignments/2181502 3/5 Score: 1/1 Time spent on this version: 0.6 minutes. Question 3. Score: 1/1 Time spent on this version: 0.4 minutes. Question 4. Score: 1/1 Time spent on this version: 0.3 minutes. Had help available: Video Question 5. Version 2*/2. Score: 1/1 R is the region bounded by the functions f(x) = and the g(x) = and the lines x=0 and x=3. Represent the volume when R is rotated around the line x=5. Volume = 2 π 5 − x 1 + x 2 − 1 dx Use pi for " " and sqrt(x) for " " ( ) ( ) Version 1*/1. Score: 1/1 Find the volume of the solid obtained by rotating the region bounded by , , and about the -axis. 8 π Version 3*/3. Score: 1/1 Find the volume of the solid obtained by rotating about the y -axis the region bounded by and . (a) A typical shell has radius , circumference , and height 10 x 2 − x 3 (b) So, by the shell method, the volume is
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