HW 7.3 MATH 202 (5586023) Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1. Question Details SEssCalc2 7.3.002. [2694100] Let S be the solid obtained by rotating the region shown in the figure about the yaxis. (Assume a = 12 and b = 4.) Sketch a typical approximating shell. http://www.webassign.net/v4cgishafiqusa@ccny/assignments/preview.tpl?u=20140328214214shafiqusa@ccny1988330193 1/12
Find its circumference c and height h. c(x) = h(x) = Use shells to find the volume V of S. 2. Question Details SEssCalc2 7.3.001. [2693223] Let S be the solid obtained by rotating the region shown in the figure about the yaxis. (Assume a = 8 and b = 2.) Sketch a typical approximating shell. http://www.webassign.net/v4cgishafiqusa@ccny/assignments/preview.tpl?u=20140328214214shafiqusa@ccny1988330193 2/12
What are its circumference c and height h? c(x) = h(x) = Use shells to find the volume V of S. 3. Question Details SEssCalc2 7.3.005.MI. [2560717] Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the yaxis. y = 7e x2, y = 0, x = 0, x = 1 Sketch the region and a typical shell. http://www.webassign.net/v4cgishafiqusa@ccny/assignments/preview.tpl?u=20140328214214shafiqusa@ccny1988330193 3/12
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4. Question Details SEssCalc2 7.3.008. [2164437] Let V be the volume of the solid obtained by rotating about the yaxis the region bounded by slicing. y = 25x and y = x 2. 25 Find V Draw a diagram to explain your method. Find V by cylindrical shells. Draw a diagram to explain your method. http://www.webassign.net/v4cgishafiqusa@ccny/assignments/preview.tpl?u=20140328214214shafiqusa@ccny1988330193 5/12
5. Question Details SEssCalc2 7.3.009. [2164899] Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the xaxis. xy = 3, x = 0, y = 3, y = 5 3 xy = 3 x =, so y 5 3 2π y dy 3 y 5 5 = 2π 3 dy = 2π 3y 3 3 = 2π(15 9) = 12π http://www.webassign.net/v4cgishafiqusa@ccny/assignments/preview.tpl?u=20140328214214shafiqusa@ccny1988330193 6/12
6. Question Details SEssCalc2 7.3.011. [2164401] Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the xaxis. y = x 3, y = 27, x = 0 Sketch the region and a typical shell. 7. Question Details SEssCalc2 7.3.012. [2163884] Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the xaxis. http://www.webassign.net/v4cgishafiqusa@ccny/assignments/preview.tpl?u=20140328214214shafiqusa@ccny1988330193 7/12
x = 12y 2 4y 3, x = 0 Sketch the region and a typical shell. 8. http://www.webassign.net/v4cgishafiqusa@ccny/assignments/preview.tpl?u=20140328214214shafiqusa@ccny1988330193 8/12
Question Details SEssCalc2 7.3.013. [2163722] Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the xaxis. x = 1 + (y 5) 2, x = 10 Sketch the region and a typical shell. http://www.webassign.net/v4cgishafiqusa@ccny/assignments/preview.tpl?u=20140328214214shafiqusa@ccny1988330193 9/12
9. Question Details SEssCalc2 7.3.015.MI. [2560878] Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 3. y = 5x 4, y = 0, x = 2 10. Question Details SEssCalc2 7.3.014. [2164092] Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the xaxis. x + y = 3, x = 4 (y 1) 2 Sketch the region and a typical shell. http://www.webassign.net/v4cgishafiqusa@ccny/assignments/preview.tpl?u=20140328214214shafiqusa@ccny1988330193 10/12
11. Question Details SEssCalc2 7.3.016. [2163936] Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 2, y = 0, x = 1; about x = 2 x 12. Question Details SEssCalc2 7.3.017. [2163817] Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 12x x 2, y = 32; about x = 4 http://www.webassign.net/v4cgishafiqusa@ccny/assignments/preview.tpl?u=20140328214214shafiqusa@ccny1988330193 11/12
13. Question Details SEssCalc2 7.3.018. [2164558] Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 8 x 2, y = x 2 ; about x = 2 14. Question Details SEssCalc2 7.3.019. [2163952] Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = 8. 27y = x 3, y = 0, x = 6 Assignment Details Name (AID): HW 7.3 MATH 202 (5586023) Submissions Allowed: 5 Category: Homework Code: Locked: No Author: Islam, Mohammad ( shafiqusa@gmail.com ) Last Saved: Mar 28, 2014 11:22 AM EDT Permission: Protected Randomization: Person Which graded: Last Feedback Settings Before due date Question Score Assignment Score Publish Essay Scores Question Part Score Mark Add Practice Button Help/Hints Response Save Work After due date Question Score Assignment Score Publish Essay Scores Key Question Part Score Solution Mark Add Practice Button Help/Hints Response http://www.webassign.net/v4cgishafiqusa@ccny/assignments/preview.tpl?u=20140328214214shafiqusa@ccny1988330193 12/12