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

12,587 questions

17,280 answers

1,424 comments

31,003 users

Sketch the region bounded by the curves, and visually estimate the location of the centroid.

0 votes
Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordinates of the centroid.

y = 2x,  y = 0,   x =1
asked Jan 29, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The functions are , and

The region bounded by the curves :

Observe the figure:

The area of the region bounded by the curves is A  = 1.

Step 2:

The centroid of the region is .

.

Substitute and in above equation.

Step 3:

.

Substitute and in above equation.

.

The centroid of the region is

Step 4 :

The graph of the functions image and the centroid image :

image

Solution :

The centroid of the region is

The graph of the functions image and the centroid image :

image

answered Feb 2, 2015 by Thomas Apprentice
edited Feb 2, 2015 by Thomas

Related questions

asked Nov 16, 2014 in PHYSICS by anonymous
...