Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

    
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

781,696 users

Set up an integral that represents the area of the surface obtained by rotating the given curve about the x-axis.

0 votes

Set up an integral that represents the area of the surface obtained by rotating the given curve about the  x-axis. Then use your calculator to find the surface area correct to four decimal places.

asked Feb 2, 2015 in CALCULUS by anonymous
reshown Feb 2, 2015 by goushi

1 Answer

0 votes

Step 1:

The Parametric equations are and .

Definition of the surface area:

If the curve given by the parametric equations and , is rotated about -axis, then the area of the resulting surface is given by

Consider .

Differentiate with respect to image on each side.

image

Consider .

Differentiate with respect to image on each side.

image

Step 2:

Substitute , image and image in surface area formula.

image

By using calculator,

image

Solution:

image

answered Feb 9, 2015 by Lucy Mentor

Related questions

...