MATH
121616949-math.240

# 121616949-math.240 - 226 Chapter 9 Applications of...

• Test Prep
• 1

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

226 Chapter 9 Applications of Integration f is - x/ p r 2 - x 2 , so the surface area is given by A = 2 π Z r - r p r 2 - x 2 r 1 + x 2 r 2 - x 2 dx = 2 π Z r - r p r 2 - x 2 r r 2 r 2 - x 2 dx = 2 π Z r - r r dx = 2 πr Z r - r 1 dx = 4 πr 2 If the curve is rotated around the y axis, the formula is nearly identical, because the length of the line segment we use to approximate a portion of the curve doesn’t change. Instead of the radius f x i ), we use the new radius ¯
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x i , and the surface area integral becomes Z b a 2 πx p 1 + ( f ± ( x )) 2 dx. EXAMPLE 9.39 Compute the area of the surface formed when f ( x ) = x 2 between 0 and 2 is rotated around the y-axis. We compute f ± ( x ) = 2 x , and then 2 π Z 2 x p 1 + 4 x 2 dx = π 6 (17 3 / 2-1) , by a simple substitution....
View Full Document

{[ snackBarMessage ]}

### What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern