121616949-math.201 - Z 1-1 √ 3(1-x 2 i 2 dx = 16 15 √ 3...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
9.3 Volume 187 - 1 1 - 1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. ........................................................... ..... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ...... .......................................................... .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Figure 9.7 Solid with equilateral triangles as cross-sections. ( JA ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .................... ...... . . . .... . .................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Figure 9.8 A solid of rotation. and the volume of a thin “slab” is then (1 - x 2 i ) 3(1 - x 2 i x. Thus the total volume is
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Z 1-1 √ 3(1-x 2 i ) 2 dx = 16 15 √ 3 . One easy way to get “nice” cross-sections is by rotating a plane figure around a line. For example, in figure 9.8 we see a plane region under a curve and between two vertical lines; then the result of rotating this around the x-axis; then a typical circular cross-section....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern