4/22/2018 Assignment 2 Saeed Alameri MA 242, section 02, Spring 2018 Instructor: Michael Topper WebAssign Assignment 2 (Homework) Current Score : 29 / 29 Due : Thursday, January 25 2018 11:59 PM MST The due date for this assignment is past. Your work can be viewed below, but no changes can be made. Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key. Request Extension View Key https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 1/16 4/22/2018 Assignment 2 1. 3/3 points | Previous AnswersSCalc7 5.2.001. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y=4− 1 x, y = 0, x = 0, x = 1; 2 about the x­axis V= $$169π12 Sketch the region. Sketch the solid, and a typical disk or washer. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 2/16 4/22/2018 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 Assignment 2 3/16 4/22/2018 Assignment 2 2. 3/3 points | Previous AnswersSCalc7 5.2.002.MI. Find the volume of the solid obtained by rotating the region bounded by the given curves about the x­axis. y = 2 − 2x2, y = 0 V= $$64π15 Sketch the region. Sketch the solid, and a typical disk or washer. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 4/16 4/22/2018 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 Assignment 2 5/16 4/22/2018 Assignment 2 3. 11/11 points | Previous AnswersSCalc7 5.2.002.MI.SA. This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the volume of the solid obtained by rotating the region bounded by the given curves about the x­axis. y = 7 − 7x2, y = 0 Find the volume V of this solid. Step 1 When y = 7 − 7x2 is rotated around the x­axis, a vertical strip of width Δx creates a disk. The radius of this disk is r = $$7−7x2 . Sketch the region. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 6/16 4/22/2018 Assignment 2 Sketch the solid, and a typical disk or washer. Step 2 The cross­sectional area of a disk of radius r is A = $$πr2 . Since our disk has radius r = 7 − 7x2, then the cross­sectional area is A= $$π(7−7x2)2 . https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 7/16 4/22/2018 Assignment 2 Step 3 The function y = 7 − 7x2 intersects the x­axis at the following values of x. x = ­1 (smaller value) x= 1 (larger value) Step 4 Now we can say that the volume of the solid created by rotating the shaded area around the x­axis is x2 V= 1 A(x) dx = x1 π(7 − 7x2)2 dx . −1 Step 5 So, the volume of our solid is 1 −1 π(7 − 7x2)2 dx = π $$49x4 1 49 − 98 x2 + −1 dx. π $$49x−983x3+495x5 1 −1 = $$784π15 This becomes . You have now completed the Master It. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 8/16 4/22/2018 Assignment 2 4. 3/3 points | Previous AnswersSCalc7 5.2.005. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x=4 5y , x = 0, y = 3; about the y­axis V= $$360π Sketch the region. Sketch the solid, and a typical disk or washer. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 9/16 4/22/2018 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 Assignment 2 10/16 4/22/2018 Assignment 2 5. 3/3 points | Previous AnswersSCalc7 5.2.007.MI. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 7x5, y = 7x, x ≥ 0; about the x­axis V= $$392π33 Sketch the region. Sketch the solid, and a typical disk or washer. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 11/16 4/22/2018 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 Assignment 2 12/16 4/22/2018 Assignment 2 6. 3/3 points | Previous AnswersSCalc7 5.2.008. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y= 1 2 3 x ,y= − x2; 2 2 about the x­axis V= $$14π5 Sketch the region. Sketch the solid, and a typical disk or washer. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 13/16 4/22/2018 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 Assignment 2 14/16 4/22/2018 Assignment 2 7. 3/3 points | Previous AnswersSCalc7 5.2.009. Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y2 = 2x, x = 2y; about the y­axis V= $$512π15 Sketch the region. Sketch the solid, and a typical disk or washer. https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 15/16 4/22/2018 https://www.webassign.net/web/Student/Assignment-Responses/last?dep=17922996 Assignment 2 16/16 4/22/2018 Assignment 7 Saeed Alameri MA 242, section 02, Spring 2018 Instructor: Michael Topper WebAssign Assignment 7 (Homework) Current Score : 40 / 40 Due : Saturday, February 24 2018 11:59 PM MST The due date for this assignment is past. Your work can be viewed below, but no changes can be made. Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key. Request Extension View Key 1. 3/3 points | Previous Answers Respond with the letter of the correct solution to problem 1 from your work done on Assignment 7 (paper copy provided in Canvas.) D A B C 2. 2/2 points | Previous Answers Respond with the letter of the correct solution to problem 2 from your work done on Assignment 7 (paper copy provided in Canvas.) C A D B 3. 2/2 points | Previous Answers Respond with the letter of the correct solution to problem 3 from your work done on Assignment 7 (paper copy provided in Canvas.) D B A C https://www.webassign.net/web/Student/Assignment-Responses/last?dep=18238637 1/5 4/22/2018 Assignment 7 4. 3/3 points | Previous Answers Respond with the letter of the correct solution to problem 4 from your work done on Assignment 7 (paper copy provided in Canvas.) D A B C 5. 3/3 points | Previous Answers Respond with the letter of the correct solution to problem 5 from your work done on Assignment 7 (paper copy provided in Canvas.) C A D B 6. 3/3 points | Previous Answers Respond with the letter of the correct solution to problem 6 from your work done on Assignment 7 (paper copy provided in Canvas.) D A C B https://www.webassign.net/web/Student/Assignment-Responses/last?dep=18238637 2/5 4/22/2018 Assignment 7 7. 3/3 points | Previous Answers Respond with the letter of the correct solution to problem 7 from your work done on Assignment 7 (paper copy provided in Canvas.) D A C B 8. 3/3 points | Previous Answers Respond with the letter of the correct solution to problem 8 from your work done on Assignment 7 (paper copy provided in Canvas.) D A C B 9. 3/3 points | Previous Answers Respond with the letter of the correct solution to problem 9 from your work done on Assignment 7 (paper copy provided in Canvas.) D B A C https://www.webassign.net/web/Student/Assignment-Responses/last?dep=18238637 3/5 4/22/2018 Assignment 7 10.3/3 points | Previous Answers Respond with the letter of the correct solution to problem 10 from your work done on Assignment 7 (paper copy provided in Canvas.) C A D B 11.3/3 points | Previous Answers Respond with the letter of the correct solution to problem 11 from your work done on Assignment 7 (paper copy provided in Canvas.) D A C B 12.3/3 points | Previous Answers Respond with the letter of the correct solution to problem 12 from your work done on Assignment 7 (paper copy provided in Canvas.) D A B C https://www.webassign.net/web/Student/Assignment-Responses/last?dep=18238637 4/5 4/22/2018 Assignment 7 13.3/3 points | Previous Answers Respond with the letter of the correct solution to problem 13 from your work done on Assignment 7 (paper copy provided in Canvas.) D A B C 14.3/3 points | Previous Answers Respond with the letter of the correct solution to problem 14 from your work done on Assignment 7 (paper copy provided in Canvas.) D A C B https://www.webassign.net/web/Student/Assignment-Responses/last?dep=18238637 5/5
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